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Two coils have a mutual inductance 0.005 H. The current cahnges in the first coil according to equation I=I₀ sin ωt where I₀ = 10 A and ω = 100π rad/sec. The maximum value of e.m.f. in second coil is
  • a)
    2 π
  • b)
    5 π
  • c)
    π
  • d)
    4 π
Correct answer is option 'B'. Can you explain this answer?
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Given Data:
Mutual inductance (M) = 0.005 H
Current in the first coil (I) = 10 A
Angular frequency (ω) = 100 π rad/sec

Calculation:
- The emf induced in the second coil is given by the formula: e = -M * dI/dt
- Given that the current in the first coil changes according to the equation I = 10 sin(ωt)
- Differentiating the equation with respect to time, we get: dI/dt = 10ω cos(ωt)
- Substituting the values of I, ω, and M in the formula for emf, we get: e = -0.005 * 10 * 100π cos(100πt)
- The maximum value of cos function is 1
- Therefore, the maximum value of emf is: e = -0.005 * 10 * 100π = -5π

Answer:
The maximum value of emf in the second coil is 5π (Option B).
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Two coils have a mutual inductance 0.005 H. The current cahnges in the first coil according to equation I=I₀ sin ωt where I₀ = 10 A and ω = 100π rad/sec. The maximum value of e.m.f. in second coil isa)2 πb)5 πc)πd)4 πCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two coils have a mutual inductance 0.005 H. The current cahnges in the first coil according to equation I=I₀ sin ωt where I₀ = 10 A and ω = 100π rad/sec. The maximum value of e.m.f. in second coil isa)2 πb)5 πc)πd)4 πCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two coils have a mutual inductance 0.005 H. The current cahnges in the first coil according to equation I=I₀ sin ωt where I₀ = 10 A and ω = 100π rad/sec. The maximum value of e.m.f. in second coil isa)2 πb)5 πc)πd)4 πCorrect answer is option 'B'. Can you explain this answer?.
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