Generator from a power plant delivering electric power

AI Thread Summary
A generator at a power plant delivers 130 mW at 22 kV AC, which is stepped up to 500 kV for transmission. To find the RMS current from the generator, Ohm's law is applied, and the current in the 22 kV line is calculated. The RMS current in the 500 kV line is also determined, showing a reduction in current due to the transformer. The discussion emphasizes calculating power loss due to Joule heating in the transmission line and comparing losses between the two voltage levels. The analysis concludes that using a transformer significantly reduces transmission line losses.
lisanoir
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Homework Statement


a generator of a large power plant delivers an electric power of 130mW at 22 kv AC. for transmission, this power is stepped up to 500kv by a transformer. what is the rms curret delivered by the generator? what is the rms current in the trnasmission line? by what factor the losses in the transmission line (on joule heating) are reduced by using a transformer? assume that the transformer is ideal and does not waste any power, and that transmission line is a purely resistive loads (no capacitance or inductance).


Homework Equations


Imax= ΔVrms/√(r^2+(xl-xc)^2)

The Attempt at a Solution

 
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lisanoir said:

Homework Statement


a generator of a large power plant delivers an electric power of 130mW at 22 kv AC. for transmission, this power is stepped up to 500kv by a transformer. what is the rms curret delivered by the generator? what is the rms current in the trnasmission line? by what factor the losses in the transmission line (on joule heating) are reduced by using a transformer? assume that the transformer is ideal and does not waste any power, and that transmission line is a purely resistive loads (no capacitance or inductance).
You just have to apply Ohm's law to determine the current. What is the current in the 22KVAC line. What is the current in the 500 KVAC line?

What is the power loss in passing current I through a resistance R?

From that you should be able to determine the relative line losses for the two currents (hint: put R at 1 ohm, say. Work out the power loss for each of the two lines and divide them).

AM
 
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