Problem 1: Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is opened 0 v(t) Rs i(t) Vs RB RA Figure 1: The switch in the RC circuit is opened at time t 0 Find the voltage v(0 and the current i(0 just before the switch is opened 1. Find the voltage v(0) and the current i(0) immediately after the switch is opened 2 3 Justify your answer in one or two sentences Find the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time. Find a differential equation that describes the response of the voltage v(t) for t 2 0. 4

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1:
Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages
and currents to reach steady-state values. At time t = 0 the switch is opened
0
v(t)
Rs
i(t)
Vs
RB
RA
Figure 1: The switch in the RC circuit is opened at time t 0
Find the voltage v(0
and the current i(0
just before the switch is opened
1.
Find the voltage v(0) and the current i(0) immediately after the switch is opened
2
3
Justify your answer in one or two sentences
Find the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time.
Find a differential equation that describes the response of the voltage v(t) for t 2 0.
4
Transcribed Image Text:Problem 1: Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is opened 0 v(t) Rs i(t) Vs RB RA Figure 1: The switch in the RC circuit is opened at time t 0 Find the voltage v(0 and the current i(0 just before the switch is opened 1. Find the voltage v(0) and the current i(0) immediately after the switch is opened 2 3 Justify your answer in one or two sentences Find the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time. Find a differential equation that describes the response of the voltage v(t) for t 2 0. 4
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