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Displacement Current

In a transfor...

Question

In a transformer the output current and voltage are respectively $4 A$ and $20 V$ . If the ratio of number of turns in the primary to secondary is $2 : 1$ , what is the input current and voltage?

A

2 A

and

40 V

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B

8 A

and

10 V

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C

4 A

and

10 V

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D

8 V

and

40 V

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Solution

The correct option is A $2 A$ and $40 V$
$\frac{N_{S}}{N_{P}} = \frac{I_{P}}{I_{S}} = \frac{V_{S}}{V_{P}}$
$V_{P} = V_{i} = (\frac{N_{P}}{N_{S}}) V_{0} = \frac{2}{1} \times 20 = 40 V$
$I_{P} = (\frac{N_{P}}{N_{S}}) I_{S} = (\frac{1}{2}) (4) = 2 A$

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