Question

A transformer consists of 285 primary windings and 814 secondary windings. A) If the potential difference across the primary coil is 23.5 V , what is the voltage across the secondary coil? Express your answer in volts to three significant figures.

Answer 1

The voltage across the primary coil (Vp) and the voltage across the secondary coil (Vs) in a transformer are related by the turns ratio:

Vp / Vs = Np / Ns

Where:

Vp is the voltage across the primary coil (given as 23.5 V).

Vs is the voltage across the secondary coil (what we want to find).

Np is the number of primary windings (285).

Ns is the number of secondary windings (814).

Now, let's plug in the values and solve for Vs:

23.5 V / Vs = 285 / 814

To find Vs, isolate it on one side of the equation:

Vs = (23.5 V * 814) / 285

Vs ≈ 67.17 V

Rounded to three significant figures, the voltage across the secondary coil (Vs) is approximately 67.2 V.