Figure shows a circuit contains three identical resistors with resistance $R = 9.0 Ω$ each, two identical inductors with inductance $L = 2.0 mH$ each, and an ideal battery with emf $ε = 18 V$ . The current $i$ through the battery just after the switch closed is:

Question

Aicharya · Accepted Answer

When the switch is just closed, the inductors show infinite opposition and hence both the branches with Inductor-Resistor combination do not really participate in the circuit.

At $t = 0$ , no current flows through $R_{1}$ and $R_{3}$
At $t = 0$ inductor behaves like an open wire.

$i = \frac{ε}{R_{2}}$
$= \frac{18}{9}$
$= 2 A$

Figure shows a circuit contains three identical resistors with resistance R = 9.0 Ω each, two identical…

Solution