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Physics-

General

Easy

Question

A rectangular coil of 20 turns and area of cross-section $25 blank s q c m$ has resistance of $100 blank o h m$ . If a magnetic field which is perpendicular to the plane of the coil changes at the rate of $1000 blank t e s l a$ per second, the current in the coil is

$1.0 a m p e r e$
$50 a m p e r e$
$0.5 a m p e r e$ .
$5.0 a m p e r e$

The correct answer is: $0.5 blank a m p e r e$ .

$i equals fraction numerator vertical line e vertical line over denominator R end fraction equals fraction numerator N over denominator R end fraction bullet fraction numerator increment B over denominator increment t end fraction A cos invisible function application theta equals fraction numerator 20 over denominator 100 end fraction cross times 1000 cross times open parentheses 25 cross times 10 to the power of negative 4 end exponent close parentheses cos invisible function application 0 degree$
$rightwards double arrow i equals 0.5 blank A$

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