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Physics-

General

Easy

Question

A 50 turns circular coil has a radius of 3 cm, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field $B$ increased from 0.10 to 0.35 T in 2 millisecond. The average induced emf in the coil is

1.77 V
17.7 V
177 V
0.177 V

The correct answer is: 17.7 V

Induced emf $blank e equals fraction numerator negative N A open parentheses B subscript 2 end subscript minus B subscript 1 end subscript close parentheses cos invisible function application theta over denominator increment t end fraction$
$equals blank fraction numerator 50 cross times pi cross times open parentheses 3 cross times 10 to the power of negative 2 end exponent close parentheses to the power of 2 end exponent open square brackets 0.35 minus 0.10 close square brackets cos invisible function application 0 degree over denominator 2 cross times 10 to the power of negative 3 end exponent end fraction$
$equals 17.7 blank V$

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