A small hydropower station, the output power is 20kW, transmission voltage is 250V, if the total resistance of the transmission line is 0.5 Ω, then the loss of power on the transmission line It is 3200 W. if the transmission voltage is increased to 1000V, the electric power will be increased by W

A small hydropower station, the output power is 20kW, transmission voltage is 250V, if the total resistance of the transmission line is 0.5 Ω, then the loss of power on the transmission line It is 3200 W. if the transmission voltage is increased to 1000V, the electric power will be increased by W


According to the transmission power = transmission voltage × current in the transmission line, the transmission current can be calculated, and the power lost on the transmission line is the heating power of the resistance of the wire when the current passes through the transmission line. The result is 3200W



A small hydropower station, with a total resistance of 0.5 ohm transmission line to send electricity to users, hydropower station output power is 20kW, if you use 250V electricity
A small hydropower station uses a transmission line with a total resistance of 0.5 ohm to transmit electricity to users. The output power of the hydropower station is 20kW. If the voltage of 250V is used to transmit electricity, how much current is transmitted? How much voltage is lost on the transmission line?


R line = 0.5 Ω, P sending = 20 kW = 2 * 10 ^ 4 W, u sending = 250 V
From P sending = u sending * I line
The current is I line = P / u line = 2 * 10 ^ 4 / 250 = 80 a
The voltage loss of transmission line is u loss = I line * r line = 80 * 0.5 = 40 v