If 110 volts are applied to a transformer with 1,000 primary turns and 50,000 secondary turns, what is the secondary voltage produced?

To determine the secondary voltage produced by a transformer, you can utilize the turns ratio and the principle of electromagnetic induction. The formula for calculating the secondary voltage (Vs) in relation to the primary voltage (Vp) and the turns on the primary (Np) and secondary (Ns) is given by:

[ Vs = Vp \times \left(\frac{Ns}{Np}\right) ]

Here, the primary voltage (Vp) is 110 volts, the number of turns on the primary (Np) is 1,000, and the number of turns on the secondary (Ns) is 50,000.

By substituting the values into the equation:

[ Vs = 110 \times \left(\frac{50,000}{1,000}\right) ]

This simplifies to:

[ Vs = 110 \times 50 ]

Calculating this gives:

[ Vs = 5,500 \text{ volts} ]

The correct choice is 5,500 V, which aligns with the basic principles of transformers where the voltage increase is directly proportional to the ratio of the number of turns in the transformer. This demonstrates that with a significantly larger number of secondary turns compared to primary turns, the secondary voltage