Input and output voltages of a transformer?

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SUMMARY

The discussion centers on the voltage transformation in a transformer, specifically the relationship between input and output voltages and the number of turns in the coils. The formula Vo/Vi = No/Ni is established, where Vo is the output voltage, Vi is the input voltage, No is the number of turns in the output coil, and Ni is the number of turns in the input coil. Given an input voltage of 24,000 V and an output voltage of 345,000 V with 2,000 turns in the input coil, the output coil must have 28,750 turns to maintain the power transfer relationship.

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derfrok
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okay, I Don't quite grasp this concept but!. Vo/Vi = No/Ni.

And I have this problem. A Generator at a power plant produces AC at 24,000 V.A transformer steps this up to 345,000 V for transmission over power lines. IF there are 2000 turns of wire in the input coil of the transformer, how many turns must there be in the output coil? :biggrin:
 
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Heres how u do the problem...

First let me tell u the basics of a transformer. A transformer is a mutual inductance based device that transfers power from one part to the other. It does so by virtue of stepping up the voltage or the current.
i.e VI = constant. So if the input voltage, current and the number of turns are V1, I1 and N1 and those on the o/p are V2, I2 and N2, then,


N1*V1*I1 = N2*V2*I2 .

So, the voltage or current level can be stepped up or stepped down accordingly. Do u understand the concept now?

And about the solution to ur problem, I think u have answered ur qn. The answer is: Vin/Vout = Nin/Nout.


Sridhar
 
Yes, "Vo/Vi = No/Ni" . Also you are told that Vi= 24000, Vo= 345000 and Ni= 2000. Put those into the equation and you have:

345000/24000= No/2000. Can you solve for No?
 
ah! thanks guys.. see i thought i had the answer down! But, the tutors at my school we're telling me something else! Thanks for ellaborating! :biggrin:
 

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