Q$1($a$)$ Using the relevant component law, explain:

What quantity cannot change discontinuously for an inductor.

$[3]$

$($ii$)$ What quantity cannot change discontinuously for a capacitor.

$[3]$

$($b$)A10k$ resistor, $3$ mH inductor, and $2$ nF capacitor are connected in series. At a particular time, the current through them is $5$ mA $.$ What can be inferred about the voltage across each component? You cannot assume the circuit is in a steady state.

$[6]$

$($c$)$ Figure Q $1$ shows the current $i_L$ and voltage $v_L$ through an inductor as a function of time $t.$ Use these plots to determine the value of the inductance.

$[5]$