Find the maximum voltage of an AC generator

In summary, the sinusoidal voltage output from the AC generator oscillates between 500 V and -500 V. The circuit for an ideal transformer is constructed with a generator, transformer, and a 30 Ω resistor. The generator makes 4 loops with the transformer and the resistor makes 9 loops with the transformer. The maximum voltage across the resistor R is 1500 V. The peak or maximum power dissipated in R is 125000 W. The purpose of putting a transformer in an AC circuit is to change the voltage level of the input voltage while keeping the input power the same.
  • #1
Jack01236
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Homework Statement


The sinusoidal voltage output from the AC generator oscillates between 500 V and -500 V. The circuit for an ideal transformer is constructed with a generator, transformer and a 30 Ω resistor . The generator makes 4 loops with the transformer and the resistor makes 9 loops with the transformer (the figure does not show these loops accurately). What is the maximum voltage across the resistor R ?

What is the peak or maximum power dissipated in R?



Homework Equations



V=IR B=unI Pdiss = I^2/R or P=IV

The Attempt at a Solution


I've attempted to find the current first, given that V is 500 V and R is 30 ohms, however I'm not sure this is the correct current value to use. Is the correct number of turns equal to 13, or is it just 9? Once I have the correct I value, I can use this to find part 1, then use that answer to find part 2.
 

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  • #2
Jack01236 said:

Homework Statement


The sinusoidal voltage output from the AC generator oscillates between 500 V and -500 V. The circuit for an ideal transformer is constructed with a generator, transformer and a 30 Ω resistor . The generator makes 4 loops with the transformer and the resistor makes 9 loops with the transformer (the figure does not show these loops accurately). What is the maximum voltage across the resistor R ?

What is the peak or maximum power dissipated in R?

Homework Equations



V=IR B=unI Pdiss = I^2/R or P=IV

The Attempt at a Solution


I've attempted to find the current first, given that V is 500 V and R is 30 ohms, however I'm not sure this is the correct current value to use. Is the correct number of turns equal to 13, or is it just 9? Once I have the correct I value, I can use this to find part 1, then use that answer to find part 2.
Transformers have two sets of coils: the primary set and the secondary set.

What's the purpose of putting a transformer in an AC circuit?

http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/transf.html
 

1. How is the maximum voltage of an AC generator determined?

The maximum voltage of an AC generator is determined by the strength of the magnetic field and the speed of rotation of the generator. The higher the strength of the magnetic field and the faster the rotation, the higher the maximum voltage will be.

2. What is the significance of the maximum voltage of an AC generator?

The maximum voltage of an AC generator represents the highest possible output voltage that can be produced by the generator. It is an important factor in determining the power and efficiency of the generator.

3. Can the maximum voltage of an AC generator be changed?

Yes, the maximum voltage of an AC generator can be changed by adjusting the strength of the magnetic field or the speed of rotation. This can be done by adjusting the generator's settings or using external equipment such as voltage regulators.

4. How does the maximum voltage of an AC generator differ from DC generators?

The maximum voltage of an AC generator is constantly changing as the coils rotate, while the maximum voltage of a DC generator remains constant. This is because AC generators produce alternating current, which periodically reverses direction and changes the maximum voltage.

5. What factors can affect the maximum voltage of an AC generator?

The maximum voltage of an AC generator can be affected by various factors, such as the strength of the magnetic field, the speed of rotation, the number of coils in the generator, and the quality of the generator's components. External factors such as temperature and humidity can also impact the maximum voltage.

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