a) 17. Consider the process of discharging capacitor C through a resistor R. Refer to the Figure below. Using Kirchoff's loop rule, write down the (differential) equation relating the current / in the circuit and the charge Q on the capacitor. Note: The solution to the equation in Question (3a) for the initial condition Q(0) = Qo is given by b) c) Q(t) Que-t/RC = How much time does it take to discharge the capacitor R completely, represent your answer with a sketch of the plot of the capacitor's charge Q as a function of time t. How much time does it take to discharge the capacitor to half of the maximum value? Given C=10.0 uF, R= 30.0 k2, and Qo = 150 μC.

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Chapter10: Direct-current Circuits
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Problem 96CP: Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch is closed and after...
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Question
a)
17. Consider the process of discharging capacitor C through a resistor R. Refer to the Figure below.
Using Kirchoff's loop rule, write down the (differential) equation relating the
current / in the circuit and the charge Q on the capacitor.
Note: The solution to the equation in Question (3a) for the initial condition Q(0) =
Qo is given by
b)
c)
Q(t) Que-t/RC
=
How much time does it take to discharge the capacitor
R
completely, represent your answer with a sketch of the plot of the capacitor's charge Q as a
function of time t.
How much time does it take to discharge the capacitor to half of the maximum
value? Given C=10.0 uF, R= 30.0 k2, and Qo = 150 μC.
Transcribed Image Text:a) 17. Consider the process of discharging capacitor C through a resistor R. Refer to the Figure below. Using Kirchoff's loop rule, write down the (differential) equation relating the current / in the circuit and the charge Q on the capacitor. Note: The solution to the equation in Question (3a) for the initial condition Q(0) = Qo is given by b) c) Q(t) Que-t/RC = How much time does it take to discharge the capacitor R completely, represent your answer with a sketch of the plot of the capacitor's charge Q as a function of time t. How much time does it take to discharge the capacitor to half of the maximum value? Given C=10.0 uF, R= 30.0 k2, and Qo = 150 μC.
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