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The iron loss of a transformer at 400Hz is 10w.assuming that eddy current lossses vary as the square of flux density ,the iron losses of the transformer at rated voltage but at 50Hz would be?
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The iron loss of a transformer at 400Hz is 10w.assuming that eddy curr...
Calculation of Iron Losses of Transformer at 50Hz

Given:

  • Iron loss of transformer at 400Hz = 10W

  • Eddy current losses vary as the square of flux density

  • Frequency of transformer at rated voltage = 50Hz



Solution:

  • Iron loss of transformer is proportional to the square of the frequency

  • Let us assume the iron loss of transformer at 50Hz be P

  • Iron loss is given by the formula:



P1/P2 = (f1/f2)2



  • where P1 is iron loss at frequency f1 and P2 is iron loss at frequency f2

  • Substituting the given values, we get:



P/10 = (50/400)2



  • Solving the above equation, we get:



P = 0.3125W


Therefore, the iron losses of the transformer at rated voltage but at 50Hz would be 0.3125W.

Explanation:

  • Iron losses in transformer are mainly due to two factors: hysteresis losses and eddy current losses

  • Hysteresis losses occur due to the reversal of magnetic field in the core

  • Eddy current losses are caused by the circulating currents induced in the core due to the alternating magnetic field

  • The eddy current losses vary as the square of the flux density, hence at a lower frequency, the flux density will be higher

  • As the eddy current losses increase with the increase in flux density, the iron losses would be higher at 400Hz than at 50Hz

  • Hence, the iron losses at 50Hz would be lower than at 400Hz, and can be calculated using the above formula

Community Answer
The iron loss of a transformer at 400Hz is 10w.assuming that eddy curr...
640 watt ... answer

Be=1/F²
10=50²/x=400²

x=1600*10/2500
x=640watt
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The iron loss of a transformer at 400Hz is 10w.assuming that eddy current lossses vary as the square of flux density ,the iron losses of the transformer at rated voltage but at 50Hz would be?
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