how many turns must there be in the output coil?

Question

The generator at a power plant produces AC at 19,000 V. A transformer steps this up to 355,000 V for transmission over power lines. If there are 1,850 turns of wire in the input coil of the transformer, how many turns must there be in the output coil?

Answer 1

The operation of a transformer relies on the principle of elctromagnetic induction. By wrapping wire around an iron core, and passing electric current through the wire, we can induce (generate) a magnetic field in the iron core. Conversely, a magnetic field can induce an electric current to flow in a wire wrapped around it. The voltages (and the currents) of the input and the ouput are proportional to the number of windings present.

For voltages, the ratio of the input and the output voltages is equal to the ratio of the number of input and output windings:

V_o / V_i = N_o / N_i

Substitute the values for the output voltage, the input voltage, and the number of input turnings, and solve for the number of output turnings