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Homework Statement
A pair of power transmission lines each have a 0.850 Ω resistance and carry 779 A over 9.85 km. If the rms input voltage is 39.5 kV, calculate the voltage at the other end.
Voltage drop across transmission lines refers to the decrease in voltage that occurs as electricity flows through the transmission lines. This drop in voltage is caused by resistance in the transmission lines and can affect the efficiency and reliability of the electrical system.
The main cause of voltage drop across transmission lines is the resistance of the wires used to carry electricity. This resistance increases as the length of the transmission line increases, leading to a greater voltage drop. Other factors that can contribute to voltage drop include the type of conductor material used, temperature, and the amount of current flowing through the transmission lines.
The voltage drop across transmission lines can be calculated using Ohm's law, which states that voltage drop (V) is equal to current (I) multiplied by resistance (R). This formula can be modified to V = IR, where V is the voltage drop in volts, I is the current in amperes, and R is the resistance in ohms. It is important to also consider the length of the transmission line and the material it is made of when calculating voltage drop.
High voltage drop across transmission lines can lead to a decrease in the efficiency and reliability of the electrical system. This can cause power outages, damage to electrical equipment, and increased energy costs. It can also put stress on the transmission lines, potentially leading to overheating and failure.
Voltage drop across transmission lines can be reduced by using larger, more conductive wires, minimizing the length of the transmission lines, and reducing the amount of current flowing through them. Regular maintenance and upgrades to the electrical system can also help to reduce voltage drop and improve efficiency.