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Question: A magnetic field of 2 × 10<sup>– 2</sup> T acts at right angles to a coil of area 100 cm<sup>2</sup>...

A magnetic field of 2 × 10– 2 T acts at right angles to a coil of area 100 cm2 with 50 turns. The average emf induced in the coil is 0.1 V, when it is removed from the field in time t. The value of t is

A

0.1 sec

B

0.01 sec

C

1 sec

D

20 sec

Answer

0.1 sec

Explanation

Solution

e=N(B2B1)AcosθΔte = - \frac{N(B_{2} - B_{1})A\cos\theta}{\Delta t}

0.1=50×(02×102)×100×104×cos0ot\Rightarrow 0.1 = \frac{- 50 \times (0 - 2 \times 10^{- 2}) \times 100 \times 10^{- 4} \times \cos 0^{o}}{t}

t=0.1sec\Rightarrow t = 0.1sec.