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3. The series circuit shown on the next page contains a resistance R = 2 x 10° ohms, a capacitor of unknown capacitance C, and a battery of unknown emf E and negligible internal resistance. Initially the capacitor is uncharged and the switch S is open. At time t = 0 the switch S is closed. For t>0 the current in the circuit is described by the equation: i(t) = i.ev% where io = 10 microamperes and t is in seconds. i (1) $2x 10 a) Determine the emf of the battery. b) By evaluating an appropriate integral, develop an expression for the charge on the right-hand plate of the capacitor as a function of time for t > 0. c) Determine the Capacitance C.

3. The series circuit shown on the next page contains a resistance R = 2 x 10° ohms, a capacitor of unknown capacitance C, and a battery of unknown emf E and negligible internal resistance. Initially the capacitor is uncharged and the switch S is open. At time t = 0 the switch S is closed. For t>0 the current in the circuit is described by the equation: i(t) = i.ev% where io = 10 microamperes and t is in seconds. i (1) $2x 10 a) Determine the emf of the battery. b) By evaluating an appropriate integral, develop an expression for the charge on the right-hand plate of the capacitor as a function of time for t > 0. c) Determine the Capacitance C.

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3. The series circuit shown on the next page contains a resistance R = 2 x 10° ohms, a capacitor of unknown capacitance C, and a battery of unknown emf E and negligible internal resistance. Initially the capacitor is uncharged and the switch S is open. At time t = 0 the switch S is closed. For t>0 the current in the circuit is described by the equation: i(t) = i.e% where i. = 10 microamperes and t is in seconds. i (1) {2x 10" a) Determine the emf of the battery. b) By evaluating an appropriate integral, develop an expression for the charge on the right-hand plate of the capacitor as a function of time for t>0. c) Determine the Capacitance C.
Transcribed Image Text:3. The series circuit shown on the next page contains a resistance R = 2 x 10° ohms, a capacitor of unknown capacitance C, and a battery of unknown emf E and negligible internal resistance. Initially the capacitor is uncharged and the switch S is open. At time t = 0 the switch S is closed. For t>0 the current in the circuit is described by the equation: i(t) = i.e% where i. = 10 microamperes and t is in seconds. i (1) {2x 10" a) Determine the emf of the battery. b) By evaluating an appropriate integral, develop an expression for the charge on the right-hand plate of the capacitor as a function of time for t>0. c) Determine the Capacitance C.
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