2. Suppose that the switch in an RC circuit with Eo = 0 is closed at time t = 0 when the capacitor has a charge of Qo. The current in the loop for time t≥ 0 is given by I(t) = Ine-t/RC where Io I(0+) = limt → 0+1(t) is the “jump" in the current at time t = 0 when the switch is closed. What is the value of Io? (Hint: I(t) = Q'(t) for all t > 0, where Q(t) = Qoe-t/RC.)

University Physics Volume 2
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Chapter10: Direct-current Circuits
Section: Chapter Questions
Problem 94CP: Consider the circuit below, (a) What is the initial current through resistor R2? when the switch is...
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2. Suppose that the switch in an RC circuit with Eo = 0 is closed at time
t = 0 when the capacitor has a charge of Qo. The current in the loop
for time t≥ 0 is given by
I(t) = Ioe-t/RC
where Io I(0+) = limt → 0+1(t) is the "jump" in the current at
time t = 0 when the switch is closed. What is the value of Io? (Hint:
I(t) = Q'(t) for all t > 0, where Q(t) = Qoe-t/RC.)
Transcribed Image Text:2. Suppose that the switch in an RC circuit with Eo = 0 is closed at time t = 0 when the capacitor has a charge of Qo. The current in the loop for time t≥ 0 is given by I(t) = Ioe-t/RC where Io I(0+) = limt → 0+1(t) is the "jump" in the current at time t = 0 when the switch is closed. What is the value of Io? (Hint: I(t) = Q'(t) for all t > 0, where Q(t) = Qoe-t/RC.)
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