Question

A pair of power transmission lines each have 2.35-Ω resistance and carry 650 Amp. If the primary voltage of the 10:1 step-up transformer is 3.0 kV, calculate the input voltage of the step-down transformer at the other end.

Answer 1

The input voltage of the step-down transformer is 26.945 kV

Step-by-step explanation:

Given:

R = 2.35 Ω

I = 650 A

Vs = 10 V

Vp = 1 V

Vs/Vp = 10/1 = 10

Vp = 3 kV

Vs = 10*Vp = 3*10 = 30 kV

The input voltage of the step-down is:

V = Vs - 2IR = 30000 - (2 * 650 * 2.35) = 26945 V = 26.945 kV