A flat circular coil of radius 0.7cm has 100 loops. It is placed in a magnetic filed of induction 0.3T so that no flux passes through it. It is rotated such that maximum flux passes through it in 0.02s. Then induced emf in the coil is

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4.14V

0.73V

0.15V

0.23V

answer is C.

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Detailed Solution

Given data:

Radius of the coil r=0.7cm

Number of turns N=100turns

Magnetic field B=0.3T

Time t=0.02\sec

Concept used: induced EMF

Detailed solution:

$EMF = N \frac{dϕ}{dt} EMF = \frac{N (area \times magnetic field)}{dt} = \frac{{Nπr}^{2} B}{dt} = \frac{100 \times 22 \times 0.49 \times 10^{- 4} \times 0.3}{7 \times 0.02} = 0.23 V$

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