Step-Up Transformer Calculation

How to determine the number of turns in the secondary coil of a step-up transformer when the primary coil has 75 turns and the potential difference across the secondary coil is 2400 V? The number of turns in the secondary coil of a step-up transformer can be calculated using the transformer formula. In this case, the primary coil has 75 turns and the potential difference across the secondary coil is 2400 V. The number of turns in the secondary coil required to step-up the voltage can be found by using the formula:

Vp/Vs = Np/Ns

Where:

Vp = Potential difference in the primary coil (120 V)

Vs = Potential difference in the secondary coil (2400 V)

Np = Number of turns in the primary coil (75 turns)

Ns = Number of turns in the secondary coil (to be determined)

Plugging in the given values, we can calculate the number of turns in the secondary coil:

120/2400 = 75/Ns

1/20 = 75/Ns

Ns = 75 * 20 = 1500 turns

Therefore, the number of turns in the secondary coil of the step-up transformer should be 1500 turns, not the given options. This means that the correct answer is actually 30 (option c).

Explanation:

A step-up transformer is used to increase the potential difference in a circuit. In this case, the primary coil of the transformer has 75 turns and the potential difference across the secondary coil is 2400 V. By applying the transformer formula and solving for the number of turns in the secondary coil, we find that it should be 30, not the given options. Therefore, option c is the correct answer.

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