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1-28-Capacitors BB - Capacitors Capacitor is a device that...

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Capacitors Capacitor is a device that stores electric potential energy by storing separated positive and negative charges. Definition of Capacitance: SI unit: Coulomb/volt = farad (F). Microfarads 1 μ F=10 -6 F Nanofarads 1 nF=10 -9 F Picofarads 1pF=10 -12 F V Q C = +Q ΔV -Q
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Charge almost evenly spread on the inner surface. A uniform electric field exists between two plates. a parallel plate capacitor. Area A Separation d Charge Q 0 0 ε σ ε = = A Q E Charge density, Charge per unit area
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Capacitance for a parallel plate capacitor d A C 0 ε = Ed V = A Q E 0 ε = d A Q V 0 ε = The capacitance is only related to geometrical factors of the capacitor. V C Q = V Q C = V d A Q = 0 ε AB B A Ed V V = - apply then (ch. 19) Ed V V = - - + ΔV
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Example 20-5 All Charged Up A Q E 0 ε = 2 028 . 0 m A = V V 1 . 20 = Find Q. Sol (1): m V m V d V E / 10 65 . 3 10 55 . 0 1 . 20 4 3 × = × = = - C m m N C m V A E Q 9 2 2 2 12 4 0 10 06 . 9 ) 028 . 0 ))( /( 10 85 . 8 )( / 10 65 . 3 ( - - × = × × = = ε Ed V = Sol (2): F m m Nm C d A C 10 3 2 2 2 12 0 10 51 . 4 10 55 . 0
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