The generator at power plant produce a voltage of 25000V for long distance transmission on overhead power lines. This is stepped up to 400000V, it is later stepped down to 240V for domestic use. Explain why the voltage is stepped up to 400000V and if the transformer is used calculate the turn's ratio
The voltage is stepped up to 400,000V for long-distance transmission on overhead power lines primarily because higher voltages enable power to be transmitted more efficiently over long distances. When electrical energy is transmitted over power lines, a certain amount of energy is lost as heat due to resistance in the wires. However, the amount of energy loss is inversely proportional to the square of the voltage. Thus, by using higher voltages, the energy losses are reduced, making long-distance transmission more efficient.
To calculate the turn's ratio in the transformer, we can use the formula:
Turns ratio = (Output voltage) / (Input voltage)
In this case, the output voltage is 400,000V, and the input voltage is 25,000V.
Turns ratio = 400,000V / 25,000V
Turns ratio = 16
So, the turns ratio for the transformer is 16:1.