Question

In a transformer, there are $10,000$ turns in primary coil and $25,000$ turns in secondary coil. An alternating voltage, $E=50\sin \left(\pi t\right)$ is applied across the primary coil. Find the peak voltage across the secondary coil, in ideal conditions.

• A. $175\text{V}$
• B. $100\text{V}$
• C. $125\text{V}$
• D. $225\text{V}$

Answer 1

The correct option is C $125\text{V}$

Using the transformer equation, we have,

$\frac{E_S}{E_P}=\frac{N_S}{N_P}$

$\Rightarrow E_S=\frac{N_S}{N_P}\times E_P=\frac{25,000}{10,000}\times 50=125\text{V}$

Hence, option $\left(C\right)$ is the correct answer.