Find the maximum voltage of an AC generator

AI Thread Summary
The discussion revolves around calculating the maximum voltage across a 30 Ω resistor in an AC circuit powered by a generator with a sinusoidal output of 500 V. The circuit includes a transformer with the generator having 4 loops and the resistor having 9 loops, leading to uncertainty about the correct number of turns to use for calculations. The participant is trying to determine the current using Ohm's Law (V=IR) but is unsure if they should consider the total number of turns as 13 or just 9. Once the correct current value is established, it can be used to find the maximum voltage and peak power dissipated in the resistor. Understanding the role of the transformer in the circuit is also highlighted as essential for these calculations.
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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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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
 

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