If a power utility were able to replace an existing 500 kV transmission line with one operating at 1 MV, it would change the amount of heat produced in the transmission line to four times the previous value. two times the previous value. one-fourth of the previous value. none of these. The amount of heat produced would remain the same. one-half of the previous value.

Complete Question

If a power utility were able to replace an existing 500 kV transmission line with one operating at 1 MV, it would change the amount of heat produced in the transmission line to

a four times the previous value.

b two times the previous value.

c one-fourth of the previous value.

d The amount of heat produced would remain the same.

e one-half of the previous value.

f none of these.

Option C is the correct answer

Explanation:

When the voltage is 500kV

    The power is

When  the voltage is 1MV = 2 × 500kV

    The power is

The ratio at which power is lost is

Here Resistance is constant

Hence the heat produced would be one fourth of the previous value

That means the heat loss wil be one fourth the previous value

Explanation:

Given that,

The resistance R is the same in both cases

In the first case

The power loss is

In second case

The power loss is

Therefore, the ratio of the poer loss is

That means the heat loss wil be one fourth the previous value

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