Download Year 11 AQA GCSE Physics Revision Booklet and more Study notes Physics in PDF only on Docsity! Year 11 AQA GCSE Physics Revision Booklet Paper 1 Particle model of matter Density of materials - know the density of a material is defined by the equation: density = mass/volume - ρ = m/V density, ρ, is measured in kilograms per metre cubed, kg/m3 mass, m, is measured in kilograms, kg volume, V, is measured in metres cubed, m3 How to explain the differences in density between the different states of matter in terms of the arrangement of atoms or molecules. How to explain differences in density between the different states How to describe practical methods to measure the density of regular and irregular sol- ids and a liquid. The three states of matter – know The states of matter are solid, liquid and gas and how to recognise and draw simple dia- grams to model the difference in arrangement of particles between solids, liquids and gases. The names of the changes of state (Melting, freezing, boiling, evaporating, condensing, sublimation) How to use melting and boiling point data to decide the state of a substance Changes of state Students should be able to describe how and that when substances change state (melt, freeze, boil, evaporate, condense or sublimate) and that mass is conserved. Changes of state are physical changes which differ from chemical changes Internal Energy Internal energy is stored inside a system by the particles that make up the system. It is the total kinetic energy and potential energy of all the particles Heating changes the energy stored within the system by increasing the energy of the particles that make up the system. This either raises the temperature of the system or produces a change of state. Temperature changes in a system and specific heat capacity If the temperature of the system increases, the increase in temperature depends on the mass of the substance heated, the type of material and the energy input to the system. The specific heat capacity of a substance is the amount of energy required to raise the temperature of one kilogram of the substance by one degree Celsius. The following equation applies change in thermal energy = mass× specific heat capacity x temp change. change in thermal energy is measure in joules, J, mass, m, in kilograms, kg specific heat capacity, c, is measured in joules per kilogram per degree Celsius, J/kg °C temperature change, Δθ, is measured in degrees Celsius, °C. Particle model of matter continued Changes of heat and specific latent heat Latent heat is the energy needed for a substance to change state. When a change of state occurs, the energy supplied changes the energy stored (internal energy) but not the temperature. The specific latent heat of a substance is the amount of energy required to change the state of one kilogram of the substance with no change in temperature. energy for a change of state = mass × specific heat capacity x latent heat energy, E, is measured in joules, J; mass, m is measured in kilograms, kg specific latent heat, L, is measured in joules per kilogram, J/kg Specific latent heat of fusion is the change of state from solid to liquid Specific latent heat of vaporisation is the change of state from liquid to vapour Be able to interpret heating and cooling graphs that include changes of state. Be able to distinguish between specific heat capacity (a change in temperature is in- volved) and specific latent heat (a change of state is involved at constant temperature). Particle motion in gases The molecules of a gas are in constant random motion. The temperature of the gas is related to the average kinetic energy of the molecules. Changing the temperature of a gas, held at constant volume, changes the pressure ex- erted by the gas. Be able to explain how the motion of the molecules in a gas is related to both its tem- perature and its pressure Be able to explain qualitatively the relation between the temperature of a gas and its pressure at constant volume. Pressure in gases A gas can be compressed or expanded by pressure changes. The pressure produces a net force at right angles to the wall of the gas container Be able to use the particle model to explain how increasing the volume in which a gas is contained, at constant temperature, can lead to a decrease in pressure. For a fixed mass of gas held at a constant temperature: pressure × volume = constant pV=constant (p1V1 = p2V2) pressure, p, is measured in pascals, Pa; volume, V, is measured in metres cubed, m3 Be able to calculate the change in the pressure of a gas or the volume of a gas (a fixed mass held at constant temperature) when either the pressure or volume is changed. Increasing the pressure of a gas Work is the transfer of energy by a force. Doing work on a gas increases the internal energy of the gas and can cause an increase in the temperature of the gas. Be able to explain how, in a given situation e.g. a bicycle pump, doing work on an en- closed gas leads to an increase in the temperature of the gas. Electricity Circuit Symbols - You should know the circuit symbols below: Electrical charge and current For electrical charge to flow through a closed circuit the circuit must include a source of potential difference. Electric current is a flow of electrical charge. The size of the electric current is the rate of flow of electrical charge. Charge flow, current and time are linked by the equation: Charge flow = current x time Q = It Charge flow Q, in coulombs, C, current I, in amperes, A (Amps is ok), time, t in seconds s. A current has the same value at any point in a single closed loop. Current, Resistance and Potential Difference The current (I) through a component depends on both the resistance (R) of the compo- nent and the potential difference (V) across the component. The greater the resistance of the component the smaller the current for a given poten- tial difference (p.d.) across the component. Current, potential difference or resistance can be calculated using the equation: Potential difference = current x resistance V = I R Potential difference (V) in volts V, current (I) in Amps A and resistance (R) in ohms Ω. Be able to draw a suitable circuit diagram and explain how to complete a practical to investigate the factors affecting the resistance of an electrical circuit. Including the ef- fect of the length of wire at constant temperature and combinations of resistors in se- ries and parallel. Resistors be able to explain that, for some resistors, the value of R remains constant but that in others it can change as the current changes. The current through an ohmic conductor (at a constant temperature) is directly propor- tional to the potential difference across the resistor. This means that the resistance re- mains constant as the current changes. The resistance of components such as lamps, diodes, thermistors and LDRs is not con- stant; it changes with the current through the component. Electricity - continued Resistance The resistance of a filament lamp increases as the temperature of the filament increas- es. The current through a diode flows in one direction only. The diode has a very high re- sistance in the reverse direction. Know the resistance of a thermistor decreases as the temperature increases. Know some applications of thermistors in circuits e.g. a thermostat Know the resistance of an LDR decreases as light intensity increases. Know the application of LDRs e.g. switching lights on when it gets dark. Be able to explain the design and use of a circuit to measure the resistance of a compo- nent (e.g. filament lamp, diode, resistor at constant temperature) by measuring the cur- rent through, and potential difference across the component including the graphs that should be drawn and information that can be obtained from the graph. Draw appropriate circuit diagrams using correct circuit symbols. Be able to use graphs to explore whether circuit elements are linear or non-linear and relate the curves produced to their function and properties. Explain an experiment to investigate the relationship between the resistance of a ther- mistor and temperature and the resistance of an LDR and light intensity. Series and parallel circuits – know: That there are two ways of joining electrical components, in series and in parallel and that some circuits include both series and parallel parts. That for components connected in series there is the same current through each com- ponent, the total potential difference of the power supply is shared between the com- ponents, the total resistance of two components is the sum of the resistance of each component. Rtotal = R1 + R2 - resistance, R, is measured in ohms, Ω For components connected in parallel: the potential difference across each component is the same, the total current through the whole circuit is the sum of the currents through the separate components (branches), the total resistance of two resistors in parallel is less than the resistance of the smallest individual resistor. How to use circuit diagrams to construct and check series and parallel circuits that in- clude a variety of common circuit components, describe the difference between series and parallel circuits, explain qualitatively why adding resistors in series increases the total resistance whilst adding resistors in parallel decreases the total resistance Electricity - continued Series and parallel circuits - continued How to explain the design and use of dc series circuits for measurement and testing purposes How to calculate the currents, potential differences and resistances in dc series circuits How to solve problems for circuits which include resistors in series using the concept of equivalent resistance. Domestic uses and safety Direct and alternating potential difference – know Mains electricity is an ac supply In the UK the supply has a frequency of 50Hz and is about 230V Explain the difference between a direct (one direction only) and alternating (constantly changing direction) potential difference. Mains electricity – know Most electrical appliances are connected to the mains using three-core cable The insulation covering each wire is colour coded for easy identification. (live wire – brown, neutral wire – blue, earth wire – green and yellow stripes) The live wire carries the alternating p.d. from the supply so can be dangerous even when a switch in the mains circuit is open. The neutral wire completes the circuit. The earth wire is a safety wire to stop the appliance becoming live To explain the dangers of providing any connection between the live and earth. The p.d. between the live wire and earth is about 230V. The neutral wire is at, or close to, earth potential (0V). The earth wire is at 0V and only carries a current if there is a fault. Energy Transfers, Power – know Explain how the power transfer in any circuit device is related to the potential differ- ence across it and the current through it, and to the energy changes over time: Power = potential difference x current P = IV Power = (current)2 x Resistance P = I2R Power P in Watts, W p.d. V in volts, V Current I, in amps, A Resistance R, in ohms Ω Energy transfers in everyday appliances Everyday electrical appliances are designed to bring about energy transfers. The amount of energy an appliance transfers depends on how long the appliance is switched on for and the power of the appliance. Describe how different domestic appliances transfer energy from batteries or ac mains to the kinetic energy of electric motors or the energy of heating devices. Work is done when charge flows in a circuit. The amount of energy transferred by electrical work can be calculated using the equa- tion: Energy transferred = power x time E = Pt Energy transferred = charge flow x potential difference E = QV Energy - continued Energy changes in systems - continued Be able to explain the required practical to determine the specific heat capacity of one (or more) materials by linking the decrease of one energy store (or work done) to the increase in temperature and subsequent increase in thermal energy stored. For exam- ple the gain in thermal energy by a known mass of water will equal the loss in thermal energy of a known mass of metal, this can be used to determine the specific heat capac- ity of the metal. Power Power is defined as the rate at which energy is transferred or the rate at which work is done. Power = energy transferred/time (this equation must be recalled) P = E/t Power = work done / time (this equation must be recalled) P = W/t Power, P, in watts, W Energy transferred, E, in joules, J Time, t, in seconds, s Work done, W, in joules, J An energy transfer of 1 joule per second is equal to a power of 1 watt. Be able to give examples that illustrate the definition of power e.g. comparing two elec- tric motors that both lift the same weight through the same height but one does it fast- er than the other. Conservation and dissipation of energy – Energy transfers in a system Energy can be transferred usefully, stored or dissipated, but cannot be created or de- stroyed. Be able to describe with examples where there are energy transfers in a closed system, that there is no net change to the total energy. Be able to describe, with examples, how in all system changes energy is dissipated, so that it is stored in less useful ways. This energy is often described as being ‘wasted’. Explain ways of reducing unwanted energy transfers, for example through lubrication and the use of thermal insulation. The higher the thermal conductivity of a material the higher the rate of energy transfer by conduction across the material. The different thermal conductivity of metals can be shown by sticking drawing pins onto a strip of metal using wax, heating one end of the strip and monitoring the time for pins to drop (when heating several different metals at once) Be able to describe how the rate of cooling of a building is affected by the thickness and thermal conductivity of its walls. Required practical to investigate the effectiveness of different materials as thermal in- sulators and the factors that may affect the thermal insulation properties of a material. Efficiency The energy efficiency for any energy transfer can be calculated using the equation: Efficiency = useful output energy transfer / total input energy transfer (learn this) Efficiency may also be calculated using the equation: Efficiency = useful power output/total power input Be able to use efficiency values as either a percentage or a decimal Describe ways to increase the efficiency of an intended energy transfer. Energy - continued National and Global Energy Resources The main energy resources available for use on Earth include: Fossil fuels (coal, oil and gas), nuclear fuel, bio-fuel, wind, hydro-electricity, geothermal, the tides, the Sun and water waves. A renewable energy resources is one that is being (or can be) replenished as it is used. The uses of energy resources include transport, electricity generation and heating. Be able to describe the main energy sources available Distinguish between energy resources that are renewable and energy resources that are non-renewable Compare ways that different energy resources are used, the uses to include transport, electricity generation and heating To understand why some energy resources are more reliable than others. Describe the environmental impact arising from the use of different energy resources Explain patterns and trends in the use of energy resources. Be able to consider environmental issues that may arise from the use of different ener- gy resources. Show that science has the ability to identify environmental issues arising from the use of energy resources but not always the power to deal with the issues because of politi- cal, social, ethical or economic considerations. Paper 2 Questions in Paper 2 may draw on an understanding of energy changes and transfers due to heating, mechanical and electrical work and the concept of energy conservation from the Energy Topic and Electricity Topic Space Physics Our solar system – know The planets and the dwarf planets that orbit around the Sun including the order. That natural satellites, the moons that orbit planets, are also part of the solar system. That our solar system is a small part of the Milky Way galaxy. That the Sun was formed from a cloud of dust and gas (nebula) pulled together by gravi- tational attraction. How to explain the start of a star’s life cycle, the dust and gas were drawn together by gravity causing fusion reactions, that fusion reactions led to an equilibrium between the gravitational collapse of a star and the expansion of a star due to fusion energy. Life cycle of a star – know that A star goes through a life cycle. The life cycle is determined by the size of the star. How to describe the life cycle of a star, the size of the Sun and the life cycle of a star much more massive than the Sun. That fusion processes in stars produce all of the naturally occurring elements. Elements heavier than iron are produced in a supernova. The explosion of a massive star (supernova) distributes the elements throughout the universe. How to explain how fusion processes lead to the formation of new elements. Orbital motion, natural and artificial satellites – know that Gravity provides the force that allows planets and satellites (both natural and artificial) to maintain their circular orbits. Describe similarities and distinctions between the planets, their moons and artificial satellites. Explain qualitatively that for circular orbits, the force of gravity can lead to changing ve- locity but unchanged speed For a stable orbit, the radius must change if the speed changes. Red-shift – know that There is an observed increase in wavelength of light from most distant galaxies. The further away the galaxy, the faster they are moving and the bigger the observed in- crease in wavelength. This effect is called red-shift. The observed red-shift provides evidence that space itself (the universe) is expanding and supports the Big Bang Theory. The Big Bang Theory suggests the universe began from a very small region that was ex- tremely hot and dense. generated or absorbed over a wide frequency range. Gamma rays originate from changes in the nucleus of an atom. UV, X-rays and gamma rays can have hazardous effects on human body tissue. Effects depend on the type and size of the dose. Radiation dose (in Sieverts – you will be given the unit) is a measure of the risk of harm resulting from an exposure of the body to the radiation. UV can cause skin to age prematurely and increase the risk of skin cancer. X- rays and gamma rays are ionising radiation that can cause the mutation of genes and cancer. Be able to draw conclusions from given data about the risks and consequences of expo- sure to radiation. Uses and applications of EM waves Be able to quote examples and give brief explanations why each type of EM wave is suitable for the practical application. Radio waves – television and radio Microwaves – satellite communications, cooking food. Infrared – Electrical heaters, cooking food, infrared cameras Visible light – fibre optic communications Ultraviolet – energy efficient lamps, sun tanning X-rays and gamma rays – medical imaging and treatments. Lenses Be able to explain how lenses form an image by refracting light. Draw ray diagrams to illustrate similarities and differences between convex and con- cave lenses. Be able to identify and describe (or draw on a diagram) the principal focus (where paral- lel rays of light are brought to a focus) and the focal length. Recall that the image produced by a convex lens can be either real or virtual but the im- age produced by a concave lens is always virtual. The magnification produced by a lens can be calculated using the equation: Magnification – image height / object height (this equation is on the Physics equation sheet) Magnification is a ratio and has no units. Image height and object height should both be measured in the same unit either both in mm or both in cm. You should be able to describe an experiment to investigate the magnification produced by a range of convex lenses. Visible light Be able to describe and explain specular and diffuse reflection Each colour within the visible light spectrum has its own narrow band of wavelength and frequency. Colour filters work by absorbing certain wavelengths (and colour) and transmitting oth- er wavelengths (and colour). The colour of an opaque object is determined by which wavelengths are more strongly reflected. Wavelengths not reflected are absorbed. If all wavelengths are reflected equally object looks white, if all wavelengths are absorbed, object appears black. Be able to describe the above and explain the effect of viewing objects through filters. Black body radiation – emission and absorption of IR radiation All bodies (objects), no matter what temperature, emit and absorb infrared radiation. The hotter the body, the more infrared radiation it radiates in a given time. A perfect black body is an object that absorbs all of the radiation incident on it. A black body does not reflect or transmit any radiation. Since a good absorber is also a good emitter, a perfect black body would be the best possible emitter. Perfect black bodies and radiation Be able to explain that all bodies emit radiation That the intensity and distribution of any emission depends on the temperature of the body. Be able to explain how the temperature is related to the balance between incoming ra- diation absorbed and radiation emitted, using everyday examples which illustrate this balance and the example of the factors which determine the temperature of the Earth. Use information or draw/interpret diagrams to show how radiation affects the temper- ature of the Earth’s surface and atmosphere. Forces and their interactions Scalar and vector quantities: Scalar quantities have magnitude only. Vector quantities have magnitude and associated direction. A vector may be represented by an arrow. The length of the arrow represents the magnitude and the direction of the arrow the direction of the vector quantity. Contact and non-contact forces A force is a push or pull that acts on an object due to the interaction with another ob- ject. All forces between objects are either: Contact forces (physically touching eg friction, air resistance, tension and normal con- tact force) Non-contact forces (physically separated eg gravitational, electrostatic and magnetic forces) Forces are vector quantities Make sure you can describe the interaction between pairs of objects which produce a force on each object, the forces to be represented as vectors. Gravity Weight is the force acting on an object due to gravity. The force of gravity close to the earth is due to the gravitational field around the Earth. The weight of an object depends on the gravitational field strength at the point where the object is. Weight = mass x gravitational field strength (Learn and recall this equation) W=mg (g=9.8N/kg – this will be given to you) The weight of an object may be considered to act at a single point referred to as the ob- ject’s ‘centre of mass’. Weight and mass are directly proportional. W m (the symbol means ‘proportional to’ here) Weight is measured using a calibrated spring-balance (newton meter) Resultant Forces A number of forces acting on a point can be replaced with a single force that has the same effect as all the original forces acting together. This single force is called the re- sultant force. You need to be able to calculate the resultant of two forces acting in a straight line. You need to be able to resolve a single force into two components acting at right angles to each other by scale diagram (you can use trigonometry and Pythagoras but be careful to read the question carefully they may want to see a scale diagram) Draw free body diagrams and use them to describe examples where several forces lead to a resultant force on an object including balanced forces where the resultant force is zero. Use vector diagrams to illustrate resolution of forces, equilibrium situationa sn deter- mine the resultant of two forces at right angles including both magnitude and direction (Scale drawings only) Work done and Energy transfer. Work is done when a force acts on an object causing it to more through a distance. Work = force x distance (learn and recall this equation). W = F s 1Joule of work is done when a force of one newton causes a displacement of 1 metre. Make sure you can describe the energy transfer involved when work is done. Convert between newton-metres Nm and Joules (1Nm = 1J) Work done against frictional forces acting on an object causes a rise in the temperature of the object. Forces and Elasticity Give examples of the forces involved in stretching, bending or compressing an object. Explain why, to change the shape of an object more than one force has to be applied (limited to stationary objects only) Describe the difference between elastic deformation and inelastic deformation caused by stretching forces. The extension of an elastic object, such as a spring, is directly proportional to the force applied, provided that the limit of proportionality is not exceeded. Force = spring constant x extension F = ke (learn and recall this equation) Make sure you can describe the difference between linear and non-linear relationship between force and extension and use the linear case to calculate a spring constant The equation is valid for compression of an elastic object where e is the compression in this case rather than extension. A force stretching a spring does work and this elastic potential energy is stored in the spring. Provided the spring is not elastically deformed, the work done on the spring and the elastic potential energy stored are equal. Be able to interpret data from an investigation of the relationship between force and extension. Calculate work done in stretching (or compressing) a spring (up to the limit of propor- tionality) using the equation: Ee = ½ ke2 Elastic potential energy = ½ x spring constant x (extension)2 (You will be given this equation) Required Practical 6 – investigating the relationship between force and extension for a spring Moments, levers and gears Moment of a force = force x perpendicular distance between force and pivot(learn and recall this equation) Moment measured in Nm For equilibrium the total clockwise moment equals the total anti-clockwise moment. A simple lever and a simple gear system can both be used to transmit the rotational ef- fects of forces. Make sure you can explain how levers and gears transmit the rotational effects of forc- es. Stopping distance = thinking distance + braking distance Thinking distance = distance travelled during the driver’s reaction time. Braking distance = distanced travelled while the brakes are applied until the car stops. For a given braking force, the greater the speed the greater the stopping distance. Estimate how the distance for a vehicle to make an emergency stop varies over a range of speeds typical for that vehicle. Interpret graphs relating speed to stopping distance for a range of vehicles. Reaction time: Reaction time varies between people. Typical values range from 0.2 – 0.9s Reaction time increased by: tiredness, drugs, alcohol and distractions. Explain methods to measure human reaction time and recall typical results. Interpret and evaluate measurements from simple methods to measure the different reaction times of students. Evaluate the effect of various factors on thinking distance based on data Factors affecting braking distance Adverse road and weather conditions, poor condition of the vehicle’s brakes or tyres. Make sure you can explain how these factors affect the distance required for road transport vehicles to come to rest in emergencies and the implications for safety. Estimate how the distance required for road vehicles to stop in an emergency varies over a range of typical speeds. In the brakes, work is done by the friction force between the brakes and the wheel to reduce the kinetic energy of the vehicle and the temperature of the brakes increases. The greater the speed of a vehicle, the greater the braking force needed to stop the ve- hicle in a certain distance. The greater the braking force the greater the deceleration of the vehicle. Large decel- erations may lead to brakes overheating and/or loss of control. Make sure you can explain these dangers Estimate the forces involved in the deceleration of road vehicles in typical situations on a public road. Momentum Momentum is a property of moving objects defined by the equation Momentum = mass x velocity (learn and recall this equation) p = mv momentum is measured in kg m/s Conservation of momentum In a closed system the total momentum before an event is equal to the total momen- tum after the event. Conservation of momentum Make sure you can describe and explain examples of momentum in an event such as a collision and complete calculations involving the collision of two objects for example. Recall an experiment using the air track and light gates to investigate momentum con- servation in collisions. Changes in momentum When a force acts on an object that is moving or able to move a change in momentum occurs. F = ma and a=(v-u)/t combine to give F=mΔv/Δt (you will be given this equation on the sheet) Where mΔv is the change in momentum i.e. force equals rate of change of momentum. Use the idea of rate of change of momentum to explain safety features such as: air bags, seat belts, gymnasium crash mats, cycle helmets and cushioned surfaces for play- grounds. Apply the equations relating force, mass, velocity and acceleration to explain how the changes involved are inter-related. Magnetism and Electromagnetism Permanent and induced magnetism, magnetic forces and fields Poles of a magnet Be able to describe how magenitic forces are strongest at the poles of a magnet. Two magnets brought close together exert a force on each other. Two like poles repel and two unlike poles attract. This is an example of a non-contact force. Be able to describe the differences between a permanent (produces its own magnetic field) and induced magnet (a material that becomes a magnet when laced in a magnetic field.). Induced magnetism always causes a force of attraction. When removed from the magnetic field the magnet loses most/all induced magnetism quickly. Magnetic fields Be able to describe how to plot the magnetic field pattern of a magnet using a compass. Draw the magnetic field pattern of a bar magnet showing how strength 9represented by density of field lines and is strongest at the poles of the magnet) and direction (direc- tion of the force on another north pole placed at that point – i.e. from North to South) change from one point to another – remember that field lines never touch. Explain how the behaviour of a magnetic compass is related to evidence that the core of the Earth must be magnetic. The Motor Effect Electromagnetism Be able to describe how the magnetic effect of a current can be demonstrated. Draw the magnetic field pattern for a straight wire carrying a current and for a solenoid (coil) showing the direction of the field (using the RH grip rule) Explain how a solenoid arrangement can increase the magnetic effect of the current – the magnetic field inside a coil is strong and uniform. The magnetic field around a sole- noid is similar to a bar magnet. Be able to interpret diagrams of electromagnetic devices in order to explain how they work. Fleming’s Left-hand rule When a conductor carrying a current is placed in a magnetic field, the magnet produc- ing the field and the conductor exert a force on each other. This is called the motor ef- fect. Be able to show that Fleming’s left-hand shows the orientation of the force (thumb), magnetic field (first finger) and current (second finger). Be able to recall the factors that affect the size of the force on the conductor For a conductor at right angles to a magnetic field and carrying a current Force = magnetic flux density x current x length F= B I l (you will need to apply this equation it will be on the equation sheet) Force, F in newtons, N Mangetic flux density B, in tesla, T Current, I in amperes, A (amp is acceptable) Length, l in metres, m Electric motors Be able to explain how the force on a conductor in a magnetic field causes the rotation of the coil in an electric motor. Loudspeakers Be able to explain how a moving-coil loudspeaker and headphones work using the mo- tor effect to convert variations in current in electrical circuits to the pressure variations in sound waves. Induced Potential Describe the basic structure of a transformer (primary coil, secondary coil, iron core (easily magnetised). Explain how the effect of an alternating current in one coil can be used to induce an al- ternating p.d. in the other coil and a current if the circuit is complete. Explain how the ratio of the potential differences across the two coils, Vp and Vs de- pends on the ratio of the number of turns on each coil np and ns. Be able to apply the equation: 𝑽𝒑 𝑽𝒔 = 𝒏𝒑 𝒏𝒔 (this equation will be given to you) Potential difference, Vp and Vs in volts, V In a step- up transformer Vs>Vp In a step- down transformer Vp>Vs If transformers were 100% efficient, the electrical power output would equal the elec- trical power input. Vs x Is = Vp x Ip (this equation will be given to you) Where Vs x Is is the power output (secondary coil) and Vp xIp is the power input (primary coil. Power input and output in watts, W Be able to calculate the current drawn from the input supply to provide a particular power output. Be able to apply the equation linking the p.d.s and number of turns in the two coils of a transformer to the currents and the power transfer involved and relate these to the ad- vantages of power transmission at high potential differences. (Reduction in energy loss due to thermal transfer in the transmission wires) Equations: These are the equations that you need to be able to recall and apply for your exam: Equation number Word equation Symbol equation 1 Weight = mass x gravitational field strength (g) W = mg 2 Work done = force x distance (along the line of action of the force) W = F s 3 Force applied to a spring = spring constant x extension F = ke 4 Moment of a force – force x distance (normal to direction of force) M = F d 5 Pressure = force normal to a surface / area of that surface 𝑝 = 𝐹 𝐴 6 Distance travelled = speed x time s = v t 7 Acceleration = change in velocity / time taken 𝑎 = ∆𝑣 𝑡 8 Resultant force = mass x acceleration F = m a 9 Momentum = mass x velocity P = m v 10 Kinetic energy = 0.5 x mass x (speed)2 Ek= ½ m v2 11 Gravitational potential energy = mass x gravitational field strength (g) x height Ep = m g h 12 Power = energy transferred / time 𝑃 = 𝐸 𝑡 13 Power = work done / time 𝑃 = 𝑊 𝑡 14 Efficiency = useful output energy transfer/total input energy transfer 15 Efficiency = useful power output/total power input 16 Wave speed = frequency x wavelength V = f λ 17 Charge flow = current x time Q = I t 18 Potential difference = current x resistance V = I R