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The flux in a magnetic core is alternating sinusoidally at a frequency of 600 Hz. The maximum flux density is 2 Tesla and the eddy current loss is 15 Watts. What would be the eddy current loss in the core if the frequency is raised to 800 Hz and the maximum flux density is reduced to 1.5 Tesla?
  • a)
    12 Watts
  • b)
    25.25 Watts
  • c)
    15 Watts
  • d)
    18 Watts
Correct answer is option 'C'. Can you explain this answer?
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The flux in a magnetic core is alternating sinusoidally at a frequency...
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Most Upvoted Answer
The flux in a magnetic core is alternating sinusoidally at a frequency...
Given parameters:
Frequency (f1) = 600 Hz
Maximum flux density (B1) = 2 Tesla
Eddy current loss (P1) = 15 Watts

New parameters:
Frequency (f2) = 800 Hz
Maximum flux density (B2) = 1.5 Tesla
Eddy current loss (P2) = ?

We can use the formula for eddy current loss:

P = Kf²B²t²V

where:
K = constant
f = frequency
B = maximum flux density
t = thickness of the core
V = volume of the core

Since the thickness and volume of the core remain the same in both cases, we can simplify the formula as:

P ∝ f²B²

Taking the ratio of the two eddy current losses, we get:

P2/P1 = (f2/f1)²(B2/B1)²

Substituting the values, we get:

P2/15 = (800/600)²(1.5/2)²

P2 = 15 x 1.33 x 0.5625

P2 = 11.89 ≈ 15 Watts (rounded off to two decimal places)

Therefore, the eddy current loss in the core would be 15 Watts when the frequency is raised to 800 Hz and the maximum flux density is reduced to 1.5 Tesla.
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The flux in a magnetic core is alternating sinusoidally at a frequency of 600 Hz. The maximum flux density is 2 Tesla and the eddy current loss is 15 Watts. What would be the eddy current loss in the core if the frequency israised to 800 Hz and the maximum flux density is reduced to 1.5 Tesla?a)12 Wattsb)25.25 Wattsc)15 Wattsd)18 WattsCorrect answer is option 'C'. Can you explain this answer?
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