Rankers Physics

Alternating Current: Practice Problem & Solution

50. The primary winding of a transformer has 500 turns whereas its secondary has 5000 turns. The primary is connected to an A.C. supply 20 V, 50 Hz. The secondary will have an output of (1997)
2 V, 50 Hz
2 V, 5 Hz
200 V, 50 Hz
200 V, 500 Hz

Solution Explained:

To solve this problem, we apply the core principles of Alternating Current. Understanding the underlying formula is key to arriving at the correct answer below:

Output voltage $V_s = V_p \left(\frac{N_s}{N_p}\right) = 20 \times \left(\frac{5000}{500}\right) = 200 V$.
The frequency of an alternating current does not change when passing through a transformer.
Therefore, the output will be $200 V, 50 Hz$.

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