Circuits Assignment 2

Name: ________________________ Date: _____________

1. Given V=100V R=10Ω C=10µF (10 pts)

1. 1. Determine the mathematical expression for vc

1. 1. Determine the mathematical expression for ic

1. 1. Computer the capacitor voltage at t=150 ms

1. 1. Computer the capacitor current at t=150 ms

1. 1. Locate the points on the voltage and current curves

1. The figure below shows the voltage across a 5µF capacitor. Determine the current through the capacitor and plot the current graph. (10 pts)

1. Using Superposition, determine the current through the resistor

(Hint: Think about what happens when considering the 3A source alone.) (10 pts)

1. Determine and draw the Thevenin Equivalent Circuit for the circuit between points A and B (10 pts)

1. 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 (10 pts)

1. For the circuit below, the steady-state voltage across the capacitor, vc (0) = 60V. Determine vc, vx and i0 for t ≥ 0 (10 pts)

1. For the circuit below, determine vc, iL and the energy stored in the capacitor and inductor under steady-state DC conditions. (10 pts)

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

Hint: Use iL = IF (1-e-t/τ) (10 pts)

1. The voltage across a capacitor is give as vc = 75e-300t V. What is the time constant of the circuit? (5 pts)

1. Plot the curves showing the charging and discharging for BOTH Capacitors and Inductors. (5 pts)

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