+ VC 1. What type of natural response occurs in the circuit below if R = 42502? Assume that the initial conditions are v(0) = 10V and ic (0) = 0. Obtain an equation for the capacitor voltage vc (t) for t≥ 0. Estimate the duration of the transient response. 1μF 10mH 2. Determine the value of resistance R in the circuit of problem 1 that causes the response to be critically damped. Assume that the initial conditions are vc (0) = 10V and ic(0) = 0. Obtain an equation for the capacitor voltage vc (t) for t≥ 0. 3. What type of circuit response occurs if R = 2002 in the circuit of problem 1? Obtain an equation for the capacitor voltage ve(t) for t≥ 0 given that the initial conditions are v(0-) = 10V and ic (0-) = 0. What is the frequency (in Hz) of the oscillatory response? Estimate the duration of the transient response.

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VC
1. What type of natural response occurs in the circuit below if R = 4250? Assume that the initial
conditions are v(0) = 10V and ic (0) = 0. Obtain an equation for the capacitor voltage
vc (t) for t≥ 0. Estimate the duration of the transient response.
1μF
10mH
2. Determine the value of resistance R in the circuit of problem 1 that causes the response to be
critically damped. Assume that the initial conditions are vc (0) = 10V and ic(0) = 0. Obtain
an equation for the capacitor voltage vc (t) for t≥ 0.
3. What type of circuit response occurs if R = 2002 in the circuit of problem 1? Obtain an equation
for the capacitor voltage ve(t) for t≥ 0 given that the initial conditions are v(0) = 10V and
ic (0-) = 0. What is the frequency (in Hz) of the oscillatory response? Estimate the duration of
the transient response.
Transcribed Image Text:+ VC 1. What type of natural response occurs in the circuit below if R = 4250? Assume that the initial conditions are v(0) = 10V and ic (0) = 0. Obtain an equation for the capacitor voltage vc (t) for t≥ 0. Estimate the duration of the transient response. 1μF 10mH 2. Determine the value of resistance R in the circuit of problem 1 that causes the response to be critically damped. Assume that the initial conditions are vc (0) = 10V and ic(0) = 0. Obtain an equation for the capacitor voltage vc (t) for t≥ 0. 3. What type of circuit response occurs if R = 2002 in the circuit of problem 1? Obtain an equation for the capacitor voltage ve(t) for t≥ 0 given that the initial conditions are v(0) = 10V and ic (0-) = 0. What is the frequency (in Hz) of the oscillatory response? Estimate the duration of the transient response.
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