gen-define-the-transformer-turns-ratio-and-give-one-short-worked-14cf

Define the transformer turns ratio and give one short worked example.

# Transformer Turns Ratio ## Definition The **transformer turns ratio (n)** is the ratio of the number of turns in the secondary winding to the number of turns in the primary winding: $$n = \frac{N_s}{N_p}$$ where: - N_s = number of turns in secondary coil - N_p = number of turns in primary coil ## Key Relationships For an ideal transformer: - **Voltage ratio**: $\frac{V_s}{V_p} = n$ - **Current ratio**: $\frac{I_s}{I_p} = \frac{1}{n}$ --- ## Worked Example **Problem:** A transformer has 500 turns on its primary coil and 50 turns on its secondary coil. If the primary voltage is 240 V, find: 1. The turns ratio 2. The secondary voltage **Solution:** 1. **Turns ratio:** $$n = \frac{N_s}{N_p} = \frac{50}{500} = 0.1$$ 2. **Secondary voltage:** $$V_s = n \times V_p = 0.1 \times 240 = 24 \text{ V}$$ This is a **step-down transformer** (n < 1) that reduces 240 V to 24 V.