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A brief theory on Resistors and capacitors
Typology: Lecture notes
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Resistors are classified into two broad categories i.e. Fixed and Variable. The Resistors whose values cannot be changed and are fixed are called as Fixed Resistors and the resistors of which we can change the values as per our requirement are called as Variable resistors. Fixed Resistors
Variable resistors :
A capacitor (originally known as a condenser) is a passive two-terminal electrical component used to temporarily store electrical energy in an electric field. Capacitors are widely used as parts of electrical circuits in many common electrical devices. Unlike a resistor, an ideal capacitor does not dissipate energy. Instead, a capacitor stores energy in the form of an electrostatic field between its plates. When there is a potential difference across the conductors (e.g., when a capacitor is attached across a battery), an electric field develops across the dielectric, causing positive charge +Q to collect on one plate and negative charge −Q to collect on the other plate. If a battery has been attached to a capacitor for a sufficient amount of time, no current can flow through the capacitor. However, if a time-varying voltage is applied across the leads of the capacitor, a displacement current can flow. An ideal capacitor is characterized by a single constant value, its capacitance. Capacitance is defined as the ratio of the electric charge Q on each conductor to the potential difference V between them. The SI unit of capacitance is the farad (F), which is equal to one coulomb per volt (1 C/V) Capacitors are widely used in electronic circuits for blocking direct current while allowing alternating current to pass. In analog filter networks, they smooth the output of power supplies. In resonant circuits they tune radios to particular frequencies. In electric power transmission systems, they stabilize voltage and power flow A capacitor consists of two conductors separated by a non-conductive region. The non-conductive region can either be a vacuum or an electrical insulator material known as a dielectric. Examples of dielectric media are glass, air, paper, and even a semiconductor depletion region chemically identical to the conductors. A capacitor is assumed to be self-contained and isolated, with no net electric charge and no influence from any external electric field. The conductors thus hold equal and opposite charges on their facing surfaces, and the dielectric develops an electric field. In SI units, a capacitance of one farad means that one coulomb of charge on each conductor causes a voltage of one volt across the device. An ideal capacitor is wholly characterized by a constant capacitance C, defined as the ratio of charge ±Q on each conductor to the voltage V between them C = Q V Because the conductors (or plates) are close together, the opposite charges on the conductors attract one another due to their electric fields, allowing the capacitor to store more charge for a given voltage than if the conductors were separated, giving the capacitor a large capacitance. Sometimes charge build-up affects the capacitor mechanically, causing its capacitance to vary. In this case, capacitance is defined in terms of incremental changes: C = dQ/dV
Fixed Capacitors
The coils formed are rolled up to form a capacitor. For a polarized cap, two foils one oxidized and other un-oxidized are made to sandwich two layers of paper and rolled up. The paper must be dipped in the same electrolyte used before. For a non-polarized cap, both foils must be oxidized. The encapsulation is usually made of aluminium. Small pieces get radial or axial leads while larger pieces get lugs. They have strong covers made of steel and are insulated with seals above and below. Small pieces are covered with PVC and rating is labelled. b. Tantalum : Aluminium is replaced by tantalum foils coated with tantalum pentaoxide. Electrolyte used for anodizing is lithium chloride up to 30V or H2S04. Boric or succinic acid is used for etched foil type at 75V up to 150V. Foil type tantalum can be plain or etched. The oxide is formed on both sides of foil. Some porous paper is dipped in the same electrolyte which is used before and spaced between foils. The formation can be polarized or non-polarized. The lugs are connected after the foil is rolled up and aluminium caps are replaced by brass or copper caps with silver soln inside. Teflon is used to seal the package. Solid capacitors use a solid electrolyte as manganese dioxide. Tantalum powder is pressed in metallic dies and heated to form solid pellet and are later soaked in manganous nitrate. The nitrate pellets are covered with manganese dioxide during electrolysis. The pellets are sprayed with graphite and a metallic layer copper. A contact penetrated the pellet and forms the anode and cathode is given to copper covering and whole package is encapsulated in plastic. In wet pellet capacitor, tantalum is not formed in electrolysis but pellet is directly used as anode and continually dipped in a lithium chloride soln in a silver sup. The cup serves as cathode and the unit Is sealed at anode.
Ganged Capacitors Air Gang : An Air gang capacitor has variable capacitance. It consists of two sets of interleaved metallic vanes, one of which the stator is fixed and the other rotor is movable. The vanes or plates are made from cadmium plated aluminium. The rotor plates are stacked on a rotating shaft and grounded to the frame through a flat phosphor-bronze spring which presses against the shaft. The stator plates are made up of two or three sections mounted on insulated strips each having an independent lug. The rotor vanes have slots that are cut to match the multisection stator when rotor is turned. The highest capacitance occurs when the sets are fully meshed. Air is the dielectric medium between the plates. When the rotor is turned the vanes unmesh and capacitance goes down to 15Pf from 500Pf. Using diff shapes of rotor or stator we can change the variation I capacitance.