lecture05 - 6. Capacitance and capacitors 6.1 Capacitors...

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Unformatted text preview: 6. Capacitance and capacitors 6.1 Capacitors +Q-Q-Q +Q-Q +Q 6.2 Capacitance [C]= 1 F = 1 C / V V Q C = Definition: Units: Symbol : - +- V V V V C is independent from: Q and V ( V is always proportional to Q ) C depends on: the geometry of the system the dielectric between the conductors 6.3 Parallel plate capacitor-Q +Q d E A Q E = = A Qd Ed V V V a b = =- a b V Q C = d A C = 6.3a Cylindrical capacitor: = a b L C ln / 2 6.3b Spherical capacitor: b a a C / 1 4- = Large plates of area A separated by a small distance d, can be considered as infinite planes. Example (Variable capacitor): A parallel plate capacitor is connected to a battery that produces a constant potential difference across its plates. If we push the plates of the capacitor together so that the distance between them is halved, the charge on the capacitor changes by: battery- + C d d/ 2 V - const Q = CV A C d = C 2 C Q 2 Q A. A....
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lecture05 - 6. Capacitance and capacitors 6.1 Capacitors...

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