For the circuit in Fig., composed of standard values:a. Determine the time constant of the...

For the circuit in Fig., composed of standard values:

a. Determine the time constant of the circuit.

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b. Write the mathematical equation for the voltage vC following the closing of the switch.

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c. Determine the voltage vC after one, three, and five time constants.

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d. Write the equations for the current iC and the voltage vR.

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e. Sketch the waveforms for vC and iC.

Fig.