Solve Step up Transformer: Ratio, Power, Fuse Rating

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Homework Help Overview

The discussion revolves around a transformer problem involving a step-up transformer connected to a 120 V rms AC line, intended to supply 16800 V rms for a neon sign. The original poster seeks assistance in determining the turns ratio, power supplied to the transformer, and the appropriate fuse rating for the primary circuit.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the turns ratio using the voltage ratio but expresses confusion regarding the calculations for power and fuse rating. Some participants discuss the relationship between energy and power, questioning how to derive energy per time and whether the calculations for power are correct. Others suggest that the primary current should be significantly greater than the secondary current based on the turns ratio.

Discussion Status

The discussion is ongoing, with participants exploring various interpretations of the power calculations and the implications of assuming an ideal transformer. Some guidance has been offered regarding the relationship between primary and secondary currents, but no consensus has been reached on the specific calculations for power and fuse rating.

Contextual Notes

Participants are working under the assumption of an ideal transformer unless stated otherwise, which may affect their calculations and interpretations. There is also a noted confusion regarding the correct use of units and exponents in the calculations.

nateastle
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I have a homework question that states: A transformer connected to a 120 V rms ac line is to supply 16800 V(rms) for a neon sign. To resuce shock hazard, a fuse is to be inserted in the primary circuit; the fuse is to blow when the current in the secondary circuit exceeds 10.0mA. a) What is the ratio of secondary to primary turns of the transformer? b) what power must be supplied to the transformer when the secondary current is 10.0 mA? c) What current rating should the fuse in the primary circuit have?

for problem a I figured it to be n1/n2 = v1/v2 or a 1 - 140 ratio.
I am confused on how to figure out problem b and problem c. I do not know what formula to use for those problems.
 
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(Charge/time)(energy/charge)=energy/time=power
 
How do I figure out energy/time? would this be (16800 x 10 x 10^-3) or about 168 watts where 16800 is the total voltage of the transformer and 10 x 10^-3 is the current?

with part c would this be 140 times greater than the current in the second transformer?
 
Last edited:
nateastle said:
How do I figure out energy/time? would this be (16800 x 10 x 10^-2) or about 168 watts where 16800 is the total voltage of the transformer and 10 x 10^-2 is the current?

with part c would this be 140 times greater than the current in the second transformer?
For an ideal transformer, the power input is the same as the power output. So yes, the primary current would have to be 140 times the secondary current.

Check your exponent on the current.

A real transformer would not be so efficient, but unless you were told otherwise you can assume it is ideal.
 

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