The primary side of a transformer is connected to 230 V , 50 Hz supply. The turn ratio of primary to secondary winding is 10 : 1 . Load resistance connected to the secondary side is 46 Ω . The power c

Question

The primary side of a transformer is connected to 230 V , 50 Hz supply. The turn ratio of primary to secondary winding is 10 : 1 . Load resistance connected to the secondary side is 46 Ω . The power consumed in it is:

TestHub · Accepted Answer

The voltages associated with the primary and the secondary side of the transformer are related to the turn ratio as follows:

$\frac{V_{1}}{V_{2}} = \frac{N_{1}}{N_{2}} . . . (1)$

From equation (1), it follows that

$\frac{230}{V_{2}} = \frac{10}{1}$

$V_{2} = 23 V$

Hence, the power consumed can be calculated as follows

$\begin{array}{rcl} P & = & \frac{V_{2}^{2}}{R} \\ = & \frac{23 \times 23}{46} \\ = & 11.5 W \end{array}$

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