JEE MAIN - Physics (2021 - 24th February Evening Shift - No. 4)
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 :
_24th_February_Evening_Shift_en_4_1.png)
3.0 A
3.37 A
9 A
2.25 A
Explanation
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.
$$\therefore$$ Effective circuit will be
_24th_February_Evening_Shift_en_4_2.png)
By using Ohm's law, V = i Req
$$\Rightarrow$$ i = V/Req
where, Req is equivalent resistance of series resistors,
i.e., Req = R + R = 2R = 2 $$\times$$ 2 = 4 $$\Omega$$
$$\therefore$$ $$i = {9 \over 4} = 2.25$$A
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.
$$\therefore$$ Effective circuit will be
By using Ohm's law, V = i Req
$$\Rightarrow$$ i = V/Req
where, Req is equivalent resistance of series resistors,
i.e., Req = R + R = 2R = 2 $$\times$$ 2 = 4 $$\Omega$$
$$\therefore$$ $$i = {9 \over 4} = 2.25$$A
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