# If transformer frequency is changed from 50 Hz to 60 Hz the ratio of eddy current loss at 50 Hz to 60 Hz

If transformer frequency is changed from 50 Hz to 60 Hz the ratio of eddy current loss 50 Hz to 60 Hz, at constant voltage will be

### Right Answer is: 1

#### SOLUTION

Eddy current loss in the transformer is given by:

Pe = Ke Bm2. t2. f2. V Watts

Where;

K – coefficient of eddy current. Its value depends upon the nature of magnetic material

Bm – Maximum value of flux density in Wb/m2

t – Thickness of lamination in meters

f – Frequency of reversal of the magnetic field in Hz

V – Volume of magnetic material in m3

Also

Bm = V/F

Therefore

${P_e}\; = {K_e}\;{\frac{V}{{{F^2}}}^2}{t^2}{f^2}V$

Pe = Ke.V2. t2. V Watts

For constant Voltage

Pe ∝ Constant

So

$\dfrac{{{P_e}_1\;}}{{{P_{e2}}}} = 1$

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