Question

In a region of uniform magnetic induction B = 10^{– 2}Tesla, a circular coil of radius 30 cm and resistance π² ohm is rotated about an axis which is perpendicular to the direction of B and which forms a diameter of the coil. If the coil rotates at 200 rpm the amplitude of the alternating current induced in the coil is

• A. 4π²Ma
• B. 30 Ma
• C. 6 Ma
• D. 200 Ma

Answer 1

Answer: (C)

6 Ma

Answer 2

$i_{0} = \frac{BAN\omega}{R} = \frac{10^{- 2} \times \pi \times (30 \times 10^{- 2})^{2} \times 1 \times 2\pi \times 200}{\pi^{2} \times 60} = 6 \times 10^{- 3}A = 6mA.$