Question

The number of windings in the primary and secondary of a transformer are 100 and 2000 respectively. If 50 V a.c is applied to the primary, the potential difference across the secondary is

• A. 2000 V
• B. 1000 V
• C. 500 V
• D. 1500 V
• E. 2500 V

Hint:

Understanding transformer ratios is essential for correctly designing and applying these devices in electrical systems.

Answer 1

The Correct Option is B

Step 1: Use the transformer equation \( \frac{V_s}{V_p} = \frac{N_s}{N_p} \), where \( V_s \) and \( V_p \) are the secondary and primary voltages, and \( N_s \) and \( N_p \) are the number of turns in the secondary and primary coils, respectively. 
Step 2: Substitute the known values: \( \frac{2000}{100} = \frac{V_s}{50} \). 
Step 3: Solving for \( V_s \) gives \( V_s = 20 \times 50 = 1000 V \). 
Step 4: Thus, the potential difference across the secondary is 1000 V.