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If Ns = 50 and Np = 1500, calculate the primary voltage Vp when dφ/dt = 4.

1. 120 V
2. 150 V
3. 100 V
4. 200 V

Correct answer: 120 V

Solution

The voltage ratio in a transformer is given by Vp/Vs = Np/Ns. Using Faraday's law, Vs = Ns * (dφ/dt). Substituting Vs = 50 * 4 = 200 V. Then, Vp = (Np/Ns) * Vs = (1500/50) * 200 = 120 V.

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