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Chapter 4: Problem 7

Transmission lines have a nominal power rating of 30000 watts. If there are transmission losses of \(9 \%\) calculate the actual power transmitted.

Short Answer

Expert verified
Answer: The actual power transmitted through the transmission lines is 27,300 watts.

Step by step solution

01

Identify the given values

We are given the following values: - Nominal power rating (P_nominal) = 30000 watts - Transmission losses (loss) = 9%
02

Convert the transmission losses into a decimal value

To work with the transmission losses, we need to convert the percentage into a decimal value. To do this, divide the percentage by 100: loss_decimal = loss / 100 loss_decimal = 9 / 100 = 0.09
03

Calculate the power lost

To find the power lost in transmission, multiply the nominal power rating by the transmission loss in decimal form: Power_lost = P_nominal * loss_decimal Power_lost = 30000 * 0.09 = 2700 watts
04

Calculate the actual power transmitted

Finally, subtract the power lost from the nominal power rating to find the actual power transmitted: Power_actual = P_nominal - Power_lost Power_actual = 30000 - 2700 = 27300 watts The actual power transmitted through the transmission lines is 27,300 watts.

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