Equivalent Capacitance Bridge Find the equivalent capacitance of the capacitance bridge shown in Figure P6–65. (Hint: Use Node Analysis.)

Use MATLAB to solve problem.

(a) Use the capacitor’s i-v characteristic to find the current i(t) for t 0.

(b) Use the inductor’s i-v characteristic and i(t) to find vL(t)
for t 0.

(c) Use vC(t), vL(t), and KVL to find the voltage v(t) delivered to the rest of the circuit.

(d) The v(t) found in

(c) should be proportional to the i(t)
found in (a). If so, what is the equivalent resistance looking into the rest of the circuit?

(e) On the same axes, plot vC(t), vL(t), and v(t). Use a different color for each waveform. Use the plots to verify KVL for the circuit.

C C C C C CEQ FIGURE P6-65