A step voltage is applied to a series C−R circuit. When the capacitor is fully charged the circuit is suddenly broken. Deduce, using Laplace transforms, an expression for the capacitor voltage during the transient period if the voltage when the supply is cut is V volts.

The current in a 24-mH inductor is given by the waveform in the figure below. Find the waveform for the voltage across the inductor.

The charge on a C = 0.4F capacitor is measured as a function of time in a physics lab and produces following graph. The capacitor is part of a simple circuit having only a battery, a capacitor, and a resistor in series. The capacitor starts uncharged and at t=0s, the battery is plugged in and the capacitor charges. In general, the charge of a charging capacitor is given by: q(t) = Qmax(1 – e-t/RC) Charge vs. Time 20 18 16 14 O 12 10 6. 4 2 3 7 8. 10 Time (s) Chart Area Use the graph to estimate the time constant for this circuit, r. Estimate the resistance of the resistor R in this circuit. Charge (C) 00

An open circuit is composed of a capacitor with capacitance C and an inductorwith inductance L. The capacitor is charged to a voltage V and at time t = 0 the circuit isclosed. Find the current as a function of time, I(t).

Theoretically obtain the expression of the voltage across the capacitor from the Experiment when the circuit is stimulated with a 5 V direct current voltage source. Assume that initially the capacitor is fully unloaded (null initial conditions). Graph the waveform obtained.

A voltage v(t) = 100 cos(60t + 20°) V is applied to a parallel combination of a 40-k resistor and a 50-μF capacitor. Find the steady-state currents through the resistor and the capacitor.