Question

12. An uncharged capacihor (capacitonce C) is connected in series of the followin 13. An inductor (inductance L.) is connected in a series circuit with a 9V battery, a resistor (resistance R) and a switch. The switch is closed at t-0. Which of the following describes the current in the circuit as a function of time? 9V four different sets of wires that cross each other without actually ll four cases, and the directions of

Answer 1

Current in the capacitor is given by

$i = \frac{dq}{dt}$

Here charge is given by

$q = CE[1 - e^{-\frac{t}{RC}}]$

now current is given by

$i = \frac{dq}{dt}$

$i = \frac{d}{dt} (CE[1 - e^{-\frac{t}{RC}}])$

$i = \frac{E}{R}e^{-\frac{t}{RC}}$

$i = \frac{9V}{R}e^{-\frac{t}{RC}}$

PART B)

Now for inductor we have

$i = \frac{9V}{R}[1 - e^{-\frac{Rt}{L}}]$

So option (d) is correct