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Question

A step down transformer is used on a $$1000$$V line to deliver $$20$$A at $$120$$V  at the secondary coil If the the efficiency of the transformer is $$80\%$$ the current drawn from the lines is


A
3A
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B
30A
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C
0.3A
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D
2.4A
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Solution

The correct option is A $$3$$A
Efficient of transformer $$=\dfrac { Power\quad output }{ Power\quad input } \times 100$$
$$\Rightarrow \dfrac { 80 }{ 100 } =\dfrac { { V }_{ 2 }{ I }_{ 2 } }{ { V }_{ 1 }{ I }_{ 1 } } $$
$$\Rightarrow \dfrac { 80 }{ 100 } =\dfrac { 120\times 20 }{ 1000\times \pm 1 } $$
$${ I }_{ 1 }=3A$$.

Physics

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