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Physics-

General

Easy

Question

A loss free transformer has 500 turns on its primary winding and 2500 in secondary. The meters of the secondary indicate $200 blank v o l t s$ at $8 blank a m p e r e s$ under these conditions. The voltage and current in the primary is

$100 V, 16 A$
$40 V, 40 A$
$160 V, 10 A$
$80 V, 20 A$

The correct answer is: $40 blank V comma blank 40 blank A$

$fraction numerator V subscript p end subscript over denominator V subscript s end subscript end fraction equals fraction numerator N subscript p end subscript over denominator N subscript s end subscript end fraction equals fraction numerator 500 over denominator 2500 end fraction equals fraction numerator 1 over denominator 5 end fraction rightwards double arrow V subscript p end subscript equals fraction numerator 200 over denominator 5 end fraction equals 40 blank V$
Also $i subscript p end subscript V subscript p end subscript equals i subscript s end subscript V subscript s end subscript rightwards double arrow i subscript p end subscript equals i subscript s end subscript fraction numerator V subscript s end subscript over denominator V subscript p end subscript end fraction equals 8 cross times 5 equals 40 blank A$

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