Figure shows a circuit that contains four identical resistors with resistance R=2.0 Ω, two identical inductors with inductance L =2.0 mH and an ideal battery with e m f E =9 V. The current ' i prime just after the switch 'S' is closed will be :

Question

Figure shows a circuit that contains four identical resistors with resistance R=2.0 Ω, two identical inductors with inductance L =2.0 mH and an ideal battery with e m f E =9 V. The current ' i prime just after the switch 'S' is closed will be : (A) 2.25 A (B) 3.0 A (C) 3.37 A (D) 9 A

Tardigrade Admin · Accepted Answer

Just after the switch is closed, inductor will behave like infinite resistance (open circuit) so the circuit will look like <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/28fa38d5990f8782e18900a240eee44d-.png" /> i=(9/R+R)=(9/4)=2.25

Q. Figure shows a circuit that contains four identical resistors with resistance $R = 2.0Ω,$ two identical inductors with inductance $L = 2.0 m H$ and an ideal battery with $e m f E = 9 V$ . The current $^{'} i^{'}$ just after the switch 'S' is closed will be :

$2.25 A$

$3.0 A$

$3.37 A$

$9 A$

Just after the switch is closed, inductor will behave like infinite resistance (open circuit) so the circuit will look like

$i = \frac{9}{R + R} = \frac{9}{4} = 2.25$

Q. Figure shows a circuit that contains four identical resistors with resistance R=2.0Ω, two identical inductors with inductance L=2.0mH and an ideal battery with emfE=9V. The current ′i′ just after the switch 'S' is closed will be :

2.25A

3.0A

3.37A

9A