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QJEEM21Phf7dd: JEE Main 2021 Physics - Class 12 JEEM21Phf7dd Solution: Figure shows a circuit that contains four identical resistors…

Figure shows a circuit that contains four identical resistors with resistance R = 2.0Ω, 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 :

JEE Main 2021 (Online) 24th February Evening Shift Physics - Electromagnetic Induction Question 79 English

Multiple Choice Options

  • A 3.0 A
  • B 3.37 A
  • C 9:00 AM
  • D 2.25 A

Step-by-Step Verified Solution

Given, resistance, R = 2Ω,

Inductance, L = 2 mH,

emf, E = 9 V

and i be the current.

∵ At t = 0 when switch is closed, inductors behave as open circuit.

∴ Effective circuit will be

JEE Main 2021 (Online) 24th February Evening Shift Physics - Electromagnetic Induction Question 79 English Explanation
By using Ohm's law, V = i Req

⇒ i = V/Req

where, Req is equivalent resistance of series resistors,

i.e., Req = R + R = 2R = 2 × 2 = 4 Ω

∴ i=94=2.25A

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