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A 0.2 F capacitor has been charged to 10 V. At t = 0, it is...

A 0.2 F capacitor has been charged to 10 V. At t = 0, it is connected to a resistor R and it begins to discharge. At t = 10 seconds, the charge on the capacitor is 1 Coulomb. What is the charge on the capacitor at t = 30 seconds?

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Given Capacitance C=0.2 F Initial Voltage Vo 10 V (10) Solution Qo 0.2 x 10 (t) = Qo e-t/RC Quo) 2e-10/RC 1 2 e 10/RO 0.5e-10

R 72.1 ohm Q(30) 2 x e-3/72.1x0.2 Q30)0.25 C

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