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MHT CET 202622 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
22 April
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Induction

MHT CET 2026 · 22 April · Morning Shift · Physics · Electromagnetic Induction

Average e.m.f. of 2.4 V is induced in a coil when a current in it...

Average e.m.f. of 2.4 V is induced in a coil when a current in it is changed from 10 A in one direction to 10 A in opposite direction in 0.4 second. The self inductance of the coil is

Options

  1. A50 mH50 \text{ mH}
  2. B48 mH48 \text{ mH}
  3. C45 mH45 \text{ mH}
  4. D42 mH42 \text{ mH}

Correct answer

B. 48 mH48 \text{ mH}

Step-by-step solution

Given e=2.4 Ve = 2.4 \text{ V}, I1=10 AI_1 = 10 \text{ A}, I2=−10 AI_2 = -10 \text{ A}, and Δt=0.4 s\Delta t = 0.4 \text{ s}.

The magnitude of the average induced e.m.f. is given by:

∣e∣=L∣ΔI∣Δt|e| = L \dfrac{|\Delta I|}{\Delta t}

Substituting the given values:

2.4=L∣−10−10∣0.42.4 = L \dfrac{|-10 - 10|}{0.4}

2.4=L200.42.4 = L \dfrac{20}{0.4}

2.4=50L2.4 = 50 L

L=2.450=0.048 HL = \dfrac{2.4}{50} = 0.048 \text{ H}

L=48 mHL = 48 \text{ mH}

Answer: 48 mH48 \text{ mH}
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