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