For the R-C circuit in Fig. 1, composed of standard values:a. Determine the time constant...

For the R-C circuit in Fig. 1, composed of standard values:

a. Determine the time constant of the circuit when the switch is thrown into position 1.

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b. Find the mathematical expression for the voltage across the capacitor and the current after the switch is thrown into position 1.

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c. Determine the magnitude of the voltage vC and the current iC the instant the switch is thrown into position 2 at t = 1 s.

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d. Determine the mathematical expression for the voltage vC and the current iC for the discharge phase.

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e. Plot the waveforms of vC and iC for a period of time extending from 0 to 2 s from when the switch was thrown into position 1.

FIG. 1