A transformer has a primary of 200 turns and a secondary of 50 turns. A 240 V rms AC voltage is applied to the primary at 50 Hz, and a load of 500 Ω is connected across the secondary. Calculate the secondary rms voltage and the secondary rms current.

Step-by-step solution

1. Determine turns ratio: $n=\frac{N_p}{N_s}=\frac{200}{50}=4$.
2. Calculate secondary voltage: $V_s=\frac{V_p}{n}=\frac{240}{4}=60$ V.
3. Compute secondary current: $I_s=\frac{V_s}{R_s}=\frac{60}{500}=0.12$ A.

Concept tested: Transformer turns ratio

Published 5 September 2026 · Last updated 16 September 2026 · How this solution was prepared and checked