Question

A power transmission line feeds input at 2200 V to a step-down transformer with its primary windings having 3000 turns. find the number of turns in the secondary to get the power input at 220 V.

Answer 1

Given,

Primary voltage, $V_1=2200$

No. of turns in Primary winding, $N_1=3000$

Secondary voltage, $V_2=220$

It is asked to find out the number of turns in the secondary winding.

We have

$\frac{N_1}{N_2}=\frac{V_1}{V_2}$

Substituting the values in the above equation we get,

$\frac{3000}{N_2}=\frac{2200}{220}$

By solving the equation we get,

$\frac{3000}{N_2}=\frac{10}{1}$

$10N_2=3000$

$N_2=\frac{3000}{10}=300$

Hence the number of turns in secondary winding is $300$