A transformer has 250 turns on the primary and 50 turns on the secondary. A 230 V rms sinusoidal supply at 50 Hz is connected to the primary. The secondary is connected to a resistive load of 400\,$\Omega$. Find (i) the secondary rms voltage and (ii) the secondary rms current.

Step-by-step solution

1. Determine the turns ratio n=$\frac{N_p}{N_s}=\frac{250}{50}$=5.
2. Use the transformer voltage relation V_s=$\frac{N_s}{N_p}$\,V_p=$\frac{1}{n}{V}_p$.\nV_s=$\frac{1}{5}\times 230\approx 46$\,V.
3. Calculate secondary current I_s=$\frac{V_s}{R_{load}}=\frac{46}{400}\approx 0$.115\,A.

Concept tested: Transformer voltage and current relations

Published 12 September 2026 · Last updated 16 September 2026 · How this solution was prepared and checked