2. The circuit shown in Figure-2 is at steady state before the switch closes at time t= 0. The input to the circuit is the voltage of the voltage source, 12 V. The output of this circuit is the voltage across the capacitor, v(t). 1. Determine v(t) for t>0. 10 kn 12 V 60 k

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2. The circuit shown in Figure-2 is at steady state
before the switch closes at time t= 0. The input to the
circuit is the voltage of the voltage source, 12 V. The
output of this circuit is the voltage across the
capacitor, v(t).
a. Determine v(t) for t>0.
b. Use Matlab Simscape Electrical to build and plot
the output, v(t), as a function of t (by using scope). Use
the plot to obtain an analytic representation of v(t) for t
>0.
10 ka
12 V
60 k2
2 μΕ
v(t)
30 k2
Figure-2
Hint: We expect v(1) = A + Bet for t > 0, where A, B, and z are
constants to be determined.
Modify the circuit given in this example (build figure-2)
https://www.mathworks.com/help/physmod/simscape/ug/operatin
g-point-rlc-transient-response.html
You will obtain a graph as figure 2-b and by using graph and
substituting three 't' values to v(t) then you can find A, B and r.
Transcribed Image Text:2. The circuit shown in Figure-2 is at steady state before the switch closes at time t= 0. The input to the circuit is the voltage of the voltage source, 12 V. The output of this circuit is the voltage across the capacitor, v(t). a. Determine v(t) for t>0. b. Use Matlab Simscape Electrical to build and plot the output, v(t), as a function of t (by using scope). Use the plot to obtain an analytic representation of v(t) for t >0. 10 ka 12 V 60 k2 2 μΕ v(t) 30 k2 Figure-2 Hint: We expect v(1) = A + Bet for t > 0, where A, B, and z are constants to be determined. Modify the circuit given in this example (build figure-2) https://www.mathworks.com/help/physmod/simscape/ug/operatin g-point-rlc-transient-response.html You will obtain a graph as figure 2-b and by using graph and substituting three 't' values to v(t) then you can find A, B and r.
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