Question

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 the maximum induced current in the coil will be:

• A. 0.25 A
• B. 1.5 A
• C. 1 A
• D. 2 A

Answer 1

Answer: (C)

1 A

Answer 2

Emax = NWAB
Emax = $1000 \times 2 \times \pi \times (10)^2 \times 2 \times (10)^{-5}$
Emax = $12.56$ V
Imax = $\frac{E_{max}}{R}$

Imax = $\frac{12.56}{12.56}$
Imax = $1$ A

So, the correct option is (C): 1 A