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4. (a) Given that the instantaneous flux in a magnetic circuit is $\Phi = \Phi_{max} \sin \omega t$ Wb, show that the rms value of induced voltage in secondary winding, $N_2$ of a transformer operating at a frequency of $f$ Hz is given by $E_2 = 4.44 f \Phi_{max} N_2$ volts. (b) A 3-phase 500 kVA 11/0.44 kV 50 Hz star/delta connected transformer gave the following line input readings on light load test: | Type of Test | Voltage (V) | Current (A) | Power (kW) | |---|---|---|---| | Open Circuit | 440 | 16 | 4.8 | | Short Circuit | 400 | 30 | 8.2 | Calculate all the equivalent circuit parameters per phase referred to the primary and also the currents when the secondary is delivering full load current at a power factor of 0.85 lagging.

          4. (a) Given that the instantaneous flux in a magnetic circuit is $\Phi = \Phi_{max} \sin \omega t$ Wb, show that the rms value of induced voltage in secondary winding, $N_2$ of a transformer operating at a frequency of $f$ Hz is given by $E_2 = 4.44 f \Phi_{max} N_2$ volts.

(b) A 3-phase 500 kVA 11/0.44 kV 50 Hz star/delta connected transformer gave the following line input readings on light load test:

| Type of Test | Voltage (V) | Current (A) | Power (kW) |
|---|---|---|---|
| Open Circuit | 440 | 16 | 4.8 |
| Short Circuit | 400 | 30 | 8.2 |

Calculate all the equivalent circuit parameters per phase referred to the primary and also the currents when the secondary is delivering full load current at a power factor of 0.85 lagging.

4 a given that the instantaneous flux in a magnetic circuit is phi phimax sin omega t wb show that the rms value of induced voltage in secondary winding n2 of a transformer operating at a 80757

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