A common transistor radio set requires $12 \mathrm{~V}$ (D.C.) for its operation. The D.C.
source is constructed by using a transformer and a rectifier circuit, which are operated at $220 \mathrm{~V}$ (A.C.) on standard domestic A.C. supply. The number of turns of secondary coil are 24, then the number
of turns of primary are ______
$(440)$
Given
Primary voltage, $V_{p}=220 \mathrm{~V}$
Secondary voltage, $v_{s}=12 \mathrm{~V}$
No. of turns in secondary coil is $\mathrm{N}_{\mathrm{s}}=24$
no. of turns in primary coil, $\mathrm{N}_{\mathrm{p}}=$ ?
We know that for a transformer
$\Rightarrow \frac{N_{p}}{N_{s}}=\frac{V_{p}}{V_{s}}$
$\Rightarrow N_{p}=\frac{V_{p} \times N_{s}}{V_{s}}=\frac{220 \times 24}{12}$
$\Rightarrow N_{p}=440$
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