Lecture-8-02-07-08

Lecture-8-02-07-08 - Lecture-8 Capacitor Charging and...

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1 Lecture-8 Capacitor Charging and Discharging A battery-resistor-capacitor circuit Charging Discharging Kirchhoff’s loop rule gives ε - V C – I R = 0 , or, 0 = = dt dQ R C Q dt dQ I I ε ) 1 ( / RC t e C Q = Kirchhoff’s loop rule gives - I R + V C = 0 , or, 0 = + = C Q dt dQ R dt dQ I I ε RC t o e Q Q / =
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2 Capacitor Charging - continued Energy Balance Issue Question: Is the energy extracted from the battery equal to the sum of the energy stored in the capacitor and energy lost in the resistor as heat? During a charging cycle, a resistor receives power The current supplied by the battery is The total energy lost in resistor as heat is The energy stored in capacitor is 2 2 0 / 2 2 0 2 2 1 2 CV C dt e R Rdt I E RC t resistor = = = = ε 2 2 0 0 2 1 2 1 1 CV Q C qdq C dq V E Q Q C capacitor = = = = RC t e R dt dq I / = = 2 RI dt dq V P = = I V
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3 Capacitor Charging Energy Balance Issue – continued A battery maintains constant emf for its life
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Lecture-8-02-07-08 - Lecture-8 Capacitor Charging and...

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