# In this problem, you will verify statements made at the end of the power losses for Example

## Question:

In this problem, you will verify statements made at the end of the power losses for Example 20.10.

(a) What current is needed to transmit 100 MW of power at a voltage of 25.0 kV?

(b) Find the power loss in a 1.00 - Ω transmission line.

(c) What percent loss does this represent?

**Data given in Example 20.10**

(a) What current is needed to transmit 100 MW of power at 200 kV?

(b) What is the power dissipated by the transmission lines if they have a resistance of 1.00 Ω?

(c) What percentage of the power is lost in the transmission lines?

**Strategy**

We are given P_{ave} = 100 MW, V_{rms} = 200 kV, and the resistance of the lines is R = 1.00Ω. Using these givens, we can find the current flowing (from P = IV) and then the power dissipated in the lines (P = I^{2} R), and we take the ratio to the total power transmitted.

## Step by Step Answer:

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