How many times do energy losses in power lines decrease when the voltage rises 50 times?
| May 21, 2021 | education
Data: Uк (overvoltage) = 50Uн (initial voltage); the power in the line is considered constant.
To find the value of reducing energy losses in a given transmission line, we use the ratio: n = Qn / Qk = (In ^ 2 * R * t) / (Ik ^ 2 * R * t) = In ^ 2 / Ik ^ 2 = (In / Ik) ^ 2 = (Uk / Un) ^ 2.
Calculation: n = (50/1) ^ 2 = 2500 times.
Answer: Energy losses in a given transmission line will decrease by 2500 times.
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