For the circuit shown below, provide an expression for the KVL in the loop indicated, in terms of capacitor voltage (vC), source voltage (vS), C and R.

Your answer might look like:

dvC/dt = R/vC + vS

For the circuit shown below, the switch moves from 1 to 2 at t=0. What is the final voltage (in V) over the capacitor?

vS = 1 V, R1 = 9.2 kΩ, R2 = 7.6 kΩ, C = {C} μF.

What is the time constant (in ms) of the first-order transient response of the circuit shown below? Answer to within 1% accuracy.

R1 = 6 kΩ, R2 = 6 kΩ, C = 4.1 μF.

What is the equivalent impedance of the circuit shown, looking into the terminals illustrated in the diagram? Express this in cartesian form (i.e x + jy), accurate to within 1%.

R = 1 kΩ, C = 100 nF, L = 10 mH.

What is the phase of the voltage (vO) dropped over the load in the circuit shown, in degrees, to within 1% accuracy?

x = 50, y = 10, z = 40.

What is the magnitude of the voltage (vO) dropped over the load in the circuit shown, in V, to within 1% accuracy?

x = 50, y = 10.

The circuit shown below is a parallel RLC circuit. L = 26.8 mH, R = 9.1 kΩ.

What value must the capacitor (in nF) take to ensure that the second order transient response is critically damped?

The circuit shown below is a parallel RLC circuit. C = 22 nF, L = 22 mH, R = 500 Ω.

Does the second order transient response for this circuit show oscillations? Why / why not?

For the circuit shown below, the switch moves from 1 to 2 at t=0. Which of the following plots is a good representation of the voltage over the inductor?

For the circuit shown below, the switch moves from 1 to 2 at t=0. What is the initial voltage (in V) over the capacitor?

vS = 7 V, R1 = 8.4 kΩ, R2 = 1.7 kΩ, C = {C} μF.