Question 87: Electromagnetic Induction

Question

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

Accepted Answer

Given, resistance, R = 2$$\Omega$$,
Inductance, L = 2 mH,
emf, E = 9 V
and i be the current.
$$\because$$ At t = 0 when switch is closed, inductors behave as open circuit.
$$	herefore$$ Effective circuit will be
By using Ohm's law, V = i R
eq
$$\Rightarrow$$ i = V/R
eq
where, R
eq
is equivalent resistance of series resistors,
i.e., R
eq
= R + R = 2R = 2 $$	imes$$ 2 = 4 $$\Omega$$
$$	herefore$$ $$i = {9 \over 4} = 2.25$$A

Answer

3.0 A

Answer

3.37 A

Answer

9 A

Answer

2.25 A

Electromagnetic Induction

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

Choose the correct answer: