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JEE Main 2021 (27 Jul, Shift 1) · Inductors & DC Transients (Mixed)

Inductors & DC Transients (Mixed) question from JEE Main 2021 (27 Jul, Shift 1)

Q13JEE Main 2021 · 27 JUL · SHIFT 1Medium

Inductors & DC Transients (Mixed)

Consider an electrical circuit containing a two way switch 'S'. Initially S is open and then T1 is connected to T2. As the current in R = 6Ω\Omega attains a maximum value of steady state level, T1 is disconnected from T2 and immediately connected to T3. Potential drop across r = 3Ω\Omega resistor immediately after T1 is connected to T3 is __________ V. (Round off to the Nearest Integer)

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Numerical answer type. Work it out, then open the answer.

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Answer: 3

  1. With T1 on T2, the steady current through LL (acting as a wire) is I=66=1 AI = \frac{6}{6} = 1\text{ A}.
  2. When T1 is switched to T3, the inductor current cannot change instantly, so 1 A now flows through rr.
  3. Vr=Ir=1×3=3 VV_r = Ir = 1 \times 3 = 3\text{ V}
  4. So the answer is 3 V.
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