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Topic: Faraday's law, induced emf and current· Electromagnetic Induction and Alternating Currents

A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad s^-1. If the vertical component of earth's magnetic field at that place is 2 × 10^-5 T and electrical resistance of the coil is 12.56 Ω, then…

A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad \(\text{s}^{-1}\). If the vertical component of earth's magnetic field at that place is \(2 \times 10^{-5}\) T and electrical resistance of the coil is \(12.56\,\Omega\), then the maximum induced current in the coil will be :

1. 2 A

2. 0.25 A

3. 1.5 A

4. 1 A

1 answer

Best answer

Answer: 4. 1 A

Maximum emf in a rotating coil is \(\varepsilon_{max}=NBA\omega\), with the field component perpendicular to the axis (vertical component here).

\(A=\pi r^2=\pi\times100=314\ \text{m}^2\)

\(\varepsilon_{max}=1000\times2\times10^{-5}\times314\times2\approx12.56\ \text{V}\)

\(I_{max}=\dfrac{12.56}{12.56}=1\ \text{A}\). Option (4).

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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