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Physics-

General

Easy

Question

A coil has 1,000 turns and 500 $c m to the power of 2 end exponent$ as its area. The plane of the coil is placed at right angles to a magnetic induction field of $2 cross times 10 to the power of negative 5 end exponent W b m to the power of negative 2 end exponent$ . The coil is rotated through 180 $degree$ in 0.2 s. the average emf induced in the coil, in mV, is

5
10
15
20

The correct answer is: 10

$N equals 1000 comma blank A equals 500 c m to the power of 2 end exponent equals 500 cross times 10 to the power of negative 4 end exponent$
$equals 5 cross times 10 to the power of negative 2 end exponent m to the power of 2 end exponent$
$B equals 2 cross times 10 to the power of negative 5 end exponent W b minus m to the power of negative 2 end exponent comma blank theta subscript 1 end subscript equals 0 degree comma$
$theta subscript 2 end subscript equals 180 degree comma blank increment t equals 0.2 blank s$
Initial flux linked with coil
$ϕ subscript 1 end subscript equals N B A cos invisible function application theta subscript 1 end subscript$
$equals N B A cos invisible function application 0 degree equals N B A$
Final flux $ϕ subscript 2 end subscript equals N B A cos invisible function application 180 to the power of 0 end exponent$
= $blank N B A open parentheses negative 1 close parentheses equals negative N B A$
Change in flux $ϕ equals ϕ subscript 2 end subscript minus ϕ subscript 1 end subscript$
$blank equals blank minus N B A minus open parentheses N B A close parentheses equals negative 2 N B A$
$therefore$ Inducedemf
$blank e equals fraction numerator negative increment ϕ over denominator increment t end fraction equals negative fraction numerator left parenthesis negative 2 N B A right parenthesis over denominator increment t end fraction equals fraction numerator 2 N B A over denominator increment t end fraction$
$equals blank fraction numerator 2 cross times 1000 cross times 2 cross times 10 to the power of negative 5 end exponent cross times 5 cross times 10 to the power of negative 2 end exponent over denominator 0.2 end fraction$
$blank equals 10 cross times 10 to the power of negative 3 end exponent V equals 10 blank m V$

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