Question 3.17: The maximum flux density in the core of a 1100/220 V, 50 Hz,...
The maximum flux density in the core of a 1100/220 V, 50 Hz, 100 kVA transformer is 3.5 Wb/m². Calculate the area of cross section of the core and the number of turns of the primary and secondary windings if the EMF per turn is 5.5 V.
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V_{1} = E_{1} = 1100 V
EMF per turn × No. of turns = total induced EMF
or, 5.5 × N_{1} = E_{1}
or, N_{1} = \frac{1100}{5.5}=200 turns.
\frac{E_{1}}{E_{2}}=\frac{V_{1}}{V_{2}}=\frac{N_{1}}{N_{2}}
N_{2}=N_{1} \left(\frac{E_{2}}{E_{1}}\right) =200 \left(\frac{220}{1100}\right) = 50 turns.
Again, E_{1} = 4.44 Φ_{m} f N_{1}
or, E_{1} = 4.44 B_{m} A f N_{1}
A= \frac{E_{1}}{4.44 B_{m} f N_{1}}=\frac{1100}{4.44 × 3.5 × 50 × 200}
= 70 × 10^{–4} m^{2}
= 70 cm^{2}