Generator from a power plant delivering electric power

In summary: PERE'S LAWIn summary, the generator of a large power plant delivers 130mW of electric power at 22 kV AC, which is stepped up to 500 kV for transmission using a transformer. The RMS current delivered by the generator can be determined by applying Ohm's law, and the current in the transmission line can be found using Amperes's Law. The losses in the transmission line due to Joule heating can be reduced by a certain factor by using a transformer, assuming an ideal transformer and a purely resistive load. By calculating the power loss at a resistance of 1 ohm and dividing it by the power loss in each line, the relative line losses can be determined.
  • #1
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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  • #2
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
 

1. How does a generator in a power plant work?

A generator in a power plant works by using a source of mechanical energy, such as steam, to turn a turbine. This turbine then spins a shaft inside the generator, which is surrounded by a magnetic field. As the shaft spins, it produces an electric current that is then sent out to power homes and businesses.

2. What is the purpose of a generator in a power plant?

The purpose of a generator in a power plant is to convert mechanical energy into electrical energy. This allows the power plant to produce and distribute electricity to meet the demand of consumers.

3. How do generators in power plants generate electricity?

Generators in power plants generate electricity through the process of electromagnetic induction. This involves the movement of a conductor, such as the spinning shaft in the generator, through a magnetic field, which creates an electric current.

4. How much electricity can a generator in a power plant produce?

The amount of electricity a generator in a power plant can produce depends on its size and the type of fuel it uses. Large generators in power plants can produce hundreds of megawatts of electricity, enough to power thousands of homes and businesses.

5. What are the different types of generators used in power plants?

There are several types of generators used in power plants, including steam turbines, gas turbines, hydro turbines, and wind turbines. Each type uses a different source of mechanical energy to spin the generator and produce electricity. Some power plants may also use multiple types of generators to produce electricity more efficiently.

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