Determine and draw the thevenin equivalent circuit for the

Question

Assignment

1) Given V=100V R=10? C=10µF

a) Determine the mathematical expression for v_c

b) Determine the mathematical expression for i_c

c) Compute the capacitor voltage at t=150 ms

d) Compute the capacitor current at t=150 ms

e) Locate the points on the voltage and current curves

2) The figure below shows the voltage across a 5µF capacitor. Determine the current through the capacitor and plot the current graph.

3) Using Superposition, determine the current through the resistor

(Hint: Think about what happens when considering the 3A source alone.)

4) Determine and draw the Thevenin Equivalent Circuit for the circuit between points A and B.

5) In the circuit below, the switch has been closed a long time and the circuit is in steady-state. The switch moves from position A to B at t=0. Find the voltage across the capacitor (v) for t > 0.

6) For the circuit below, the steady-state voltage across the capacitor, vc (0) = 60V. Determine vc, vx and i0 for t ≥ 0.

7) For the circuit below, determine vc, iL and the energy stored in the capacitor and inductor under steady-state DC conditions.

8) Determine the inductor current (iL) 30µs after the switch is closed.

Hint: Use iL = IF (1-e-t/τ)

9) The voltage across a capacitor is give as vc = 75e-300t V. What is the time constant of the circuit?

10) Plot the curves showing the charging and discharging for BOTH Capacitors and Inductors.