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A 25-Hz, 120/30 V, 500 VA transformer is to be used on a 60 Hz source. If the core flux density is to remain unchanged, determine the new (60 Hz) VA rating.

Answer :

the new VA rating of the transformer when used on a 60 Hz source while maintaining the core flux density is approximately 4608 VA.To determine the new VA rating of the transformer when used on a 60 Hz source while maintaining the core flux density, we need to consider the frequency ratio between the two sources.

The frequency ratio is given by:
Frequency ratio = New frequency / Original frequency = 60 Hz / 25 Hz = 2.4

Since the core flux density is to remain unchanged, we can assume that the magnetic flux remains constant. The magnetic flux is directly proportional to the voltage and inversely proportional to the frequency.

Therefore, to maintain the same magnetic flux, we need to adjust the voltage in proportion to the frequency change. In this case, the original voltage is 120/30 V. So, to maintain the same flux at 60 Hz, the new voltage should be (120/30 V) * 2.4 = 9.6 times the original voltage.

Now, to calculate the new VA rating, we can multiply the original VA rating by the voltage ratio squared. The original VA rating is 500 VA. Thus, the new VA rating is (500 VA) * (9.6^2) = 4608 VA.

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