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}

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