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JEE Main 2019 (12 Jan, Shift 1) · Inductors & DC Transients (Mixed)

Inductors & DC Transients (Mixed) question from JEE Main 2019 (12 Jan, Shift 1)

Q19JEE Main 2019 · 12 JAN · SHIFT 1Medium

Inductors & DC Transients (Mixed)

In the figure shown, a circuit contains two identical resistors with resistance R = 5Ω\Omega and an inductance with L = 2mH. An ideal battery of 15 V is connected in the circuit. What will be the current through the battery long after the switch is closed?

Figure

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Answer: (a)

  1. Long after closing, the inductor behaves like a plain wire.
  2. The two 5 Ω5\ \Omega resistors are then in parallel: Req=2.5 ΩR_{eq} = 2.5\ \Omega.
  3. i=152.5=6 Ai = \frac{15}{2.5} = 6\text{ A}
  4. So the answer is (a) 6 A.
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