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

Find a value for L (in mH), such that the transient response after the switch moves from point 1 to point 2 is critically damped, for the circuit shown.

R = 7.8 kΩ, C = 93 nF.

Here is where you can (optionally) put some *short* working out for Q5 (and only Q5), which may contribute to a partial grade if you have entered an answer and that answer is well outside tolerance.

Given the circuit below, where the switch moves from point 1 to point 2 at t=0, and with vS = 4.9 V, R1 = 1 kΩ, R2 = 60 kΩ, and C = 82 nF, find the steady state value that i (in A, to 1% accuracy) approaches after t=0.

Here is where you can (optionally) put some *short* working out for Q3 (and only Q3), which may contribute to a partial grade if you have entered an answer and that answer is well outside tolerance.

For the circuits shown below, the voltage out (v_O) after the switched is moved at t=0, can be expressed as:

v_O=Ae^xt+B

Given that vS = 5, R1 = 7.9 kΩ, R2 = 9.6 kΩ,  C = 48 nF, find B (... to within 1% accuracy, in SI units, i.e. V).

Here is where you can (optionally) put some *short* working out for Q1 (and only Q1), which may contribute to a partial grade if you have entered an answer and that answer is well outside tolerance.