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Question: A rectangular coil of 20 turns and area of cross- section 25 sq cm has a resistance of 100 ohm. If a...

A rectangular coil of 20 turns and area of cross- section 25 sq cm has a resistance of 100 ohm. If a magnetic field which is perpendicular to the plane of the coil changes at the rate of 1000 Tesla per second, the current in the coil is

A

1.0 ampere

B

50 ampere

C

0.5 ampere

D

5.0 ampere

Answer

0.5 ampere

Explanation

Solution

i=eR=NR.ΔBΔtAcosθ=20100×1000×(25×104)cos0oi = \frac{|e|}{R} = \frac{N}{R}.\frac{\Delta B}{\Delta t}A\cos\theta = \frac{20}{100} \times 1000 \times (25 \times 10^{- 4})\cos 0^{o}

i=0.56muA\Rightarrow i = 0.5\mspace{6mu} A