A transformer is to be designed to increase the 27-kV (rms)output of a generator to the transmission line voltage of 346 kV (rms).If the primary winding has 95 turns,how many turns must the secondary have?
A)7
B)15600
C)1217
D)26
E)4358

Question

Quizplus · Accepted Answer

The transformer turns ratio needed to increase the voltage from 27 kV to 346 kV can be calculated using the formula $N_2/N_1 = V_2/V_1$, where $N_1$ and $N_2$ are the number of turns on the primary and secondary windings, respectively, and $V_1$ and $V_2$ are the primary and secondary voltages, respectively. Substituting the given values, $95/N_1 = 27kV/346kV$. Solving for $N_1$ gives approximately 1217 turns.

A Transformer Is to Be Designed to Increase the 27-KV