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(Solved):   For the capacitor circuit in Figure 1 a. Determine the time constant of the circuit. b. Wr ...



For the capacitor circuit in Figure 1
a. Determine the time constant of the circuit.
b. Write the mathematical equation for t

 

For the capacitor circuit in Figure 1 a. Determine the time constant of the circuit. b. Write the mathematical equation for the voltage \( v_{i}, v_{k}, v_{k} \) and current \( i_{e} \) following the closing of the switch. c. Determine the value of \( v_{C_{1}} v_{R}, v_{z} \) and \( L_{a} \) after one, three and five time constants. d. Sketch the wave forms for \( v_{c}, i_{c}, v_{k i} \), and \( v_{k 2} \).


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(a) Time constant of the circuit when the switch is closed at t=0, the equivalent resistance between the capacitor terminals is given by the circuit a
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