Am electric Geneator is rated 12kw,2kv distribute power through a cable of resistance 20 ohms. Calculathe the power loss

Answer 1

To calculate the power loss in the cable, we first need to determine the current flowing through the cable. We can use Ohm's Law:

V = IR
I = V/R

Given:
Generator power output (P) = 12 kW = 12000 W
Voltage (V) = 2 kV = 2000 V
Resistance (R) = 20 ohms

I = 2000 V / 20 ohms
I = 100 A

Now we can calculate the power loss using the formula:

Power loss = I^2 * R
Power loss = (100 A)^2 * 20 ohms
Power loss = 10000 * 20
Power loss = 200000 W = 200 kW

Therefore, the power loss in the cable is 200 kW.