CLASS 12 PHYSICS CHAPTER 3 CURRENT ELECTRICITY, Summaries of Physics

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Detailed Notes - Current Electricity
Class 12 Physics | NCERT + Boards + JEE Main & Advanced
These notes are designed for complete chapter preparation. The PDF includes theory, derivations, formulas, NCERT
concepts, board-important points, JEE-level concepts, and PYQs.
1. Electric Current
Electric current is defined as the rate of flow of electric charge through a conductor.
Formula: I = Q/t
SI Unit: Ampere (A)
1 Ampere means 1 Coulomb charge flows per second.
Conventional current flows from positive to negative terminal while electrons move in opposite direction.
Current can exist only when there is a potential difference across the conductor.
2. Drift Velocity
Free electrons move randomly inside a conductor.
When electric field is applied, electrons acquire a small average velocity called drift velocity.
Drift velocity is directly proportional to electric field.
Important Formula: I = nAevd
Where n = number density, A = area, e = charge of electron, vd = drift velocity.
Relation: vd = eEτ/m
3. Ohm's Law
At constant temperature, current through a conductor is directly proportional to applied voltage.
Formula: V = IR
Resistance is the opposition offered by conductor to current flow.
Ohmic conductors follow straight line V-I graph.
Non-ohmic conductors do not follow Ohm’s law.
4. Resistance and Resistivity
Resistance depends on length, area and material of conductor.
Formula: R = ρL/A
Resistivity is an intrinsic property of material.
Unit of resistivity = ohm-meter.
Conductors have low resistivity while insulators have very high resistivity.
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Detailed Notes - Current Electricity

Class 12 Physics | NCERT + Boards + JEE Main & Advanced

These notes are designed for complete chapter preparation. The PDF includes theory, derivations, formulas, NCERT concepts, board-important points, JEE-level concepts, and PYQs.

1. Electric Current

  • Electric current is defined as the rate of flow of electric charge through a conductor.
  • Formula: I = Q/t
  • SI Unit: Ampere (A)
  • 1 Ampere means 1 Coulomb charge flows per second.
  • Conventional current flows from positive to negative terminal while electrons move in opposite direction.
  • Current can exist only when there is a potential difference across the conductor.

2. Drift Velocity

  • Free electrons move randomly inside a conductor.
  • When electric field is applied, electrons acquire a small average velocity called drift velocity.
  • Drift velocity is directly proportional to electric field.
  • Important Formula: I = nAevd
  • Where n = number density, A = area, e = charge of electron, vd = drift velocity.
  • Relation: vd = eEτ/m

3. Ohm's Law

  • At constant temperature, current through a conductor is directly proportional to applied voltage.
  • Formula: V = IR
  • Resistance is the opposition offered by conductor to current flow.
  • Ohmic conductors follow straight line V-I graph.
  • Non-ohmic conductors do not follow Ohm’s law.

4. Resistance and Resistivity

  • Resistance depends on length, area and material of conductor.
  • Formula: R =^ ρL/A
  • Resistivity is an intrinsic property of material.
  • Unit of resistivity = ohm-meter.
  • Conductors have low resistivity while insulators have very high resistivity.

5. Temperature Dependence of Resistance

  • Resistance of metallic conductors increases with temperature.
  • Formula: Rt = R0(1 +^ α∆T)
  • α^ is temperature coefficient of resistance.
  • Semiconductors show decrease in resistance with rise in temperature.

6. Combination of Resistors

  • Series Combination: same current flows through all resistors.
  • Equivalent resistance in series: Req = R1 + R2 + R
  • Parallel Combination: same voltage across each resistor.
  • Equivalent resistance in parallel: 1/Req = 1/R1 + 1/R2 + 1/R
  • Parallel combination reduces equivalent resistance.

7. Electric Power and Heating Effect

  • Power is rate of electrical energy consumption.
  • P = VI = I²R = V²/R
  • SI Unit of power is Watt.
  • Heating effect is explained by Joule’s law.
  • Heat produced: H = I²Rt

8. Cells, EMF and Internal Resistance

  • EMF is the potential difference across terminals when no current flows.
  • Terminal voltage decreases when current flows.
  • Formula: V = E - Ir
  • Maximum current is obtained when external resistance is minimum.

9. Kirchhoff's Laws

  • Kirchhoff’s Junction Rule is based on conservation of charge.
  • Sum of currents entering a junction equals sum leaving the junction.
  • Kirchhoff’s Loop Rule is based on conservation of energy.
  • Algebraic sum of potential differences in a closed loop is zero.

10. Wheatstone Bridge

  • Used to determine unknown resistance accurately.
  • Balanced condition: P/Q = R/S
  • No current flows through galvanometer under balanced condition.

Important Derivations

  • Derivation of relation I = nAevd
  • Derivation of resistors in series
  • Derivation of resistors in parallel
  • Derivation of electric power formulas
  • Derivation of Kirchhoff’s laws
  • Derivation of potentiometer principle

Formula Sheet

Concept Formula Current I = Q/t Ohm’s Law V = IR Resistance R = ρL/A Drift Velocity I = nAevd Electric Power P = VI = I²R = V²/R Heat Produced H = I²Rt Terminal Voltage V = E - Ir Series Combination Req = R1 + R2 + R Parallel Combination 1/Req = 1/R1 + 1/R2 + 1/R Wheatstone Bridge P/Q = R/S

JEE Main + Advanced PYQs

Q1. A wire carries 5 A current for 2 minutes. Calculate total charge passed through the wire.

Q2. Find equivalent resistance of 2Ω, 3Ω and 6Ω connected in parallel.

Q3. A cell of emf 10 V and internal resistance 2Ω is connected to 8Ω resistor. Find current.

Q4. Explain drift velocity and derive current relation.

Q5. State and explain Kirchhoff’s loop law.

Q6. Why is potentiometer preferred over voltmeter for comparing emf?

Q7. A 20Ω resistor is connected across 40 V source. Find power consumed.

Q8. State balanced condition for Wheatstone bridge and derive it.

Q9. Find heat produced in 5 seconds when current of 3 A flows through 4Ω resistor.

Q10. Derive expression for equivalent resistance in parallel combination.

Most Important Topics for Boards + JEE

  • Drift velocity derivation
  • Series and parallel combination derivations
  • Kirchhoff’s laws numericals
  • Potentiometer applications
  • Meter bridge numericals
  • Internal resistance problems
  • Heating effect and power numericals

Revision Tip: Solve NCERT examples first, then PYQs chapter-wise. Revise formulas daily and practice circuit questions regularly.