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Q.

A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6 A, the voltage across the secondary coil and the current in the primary coil respectively are

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a

300 V, 15 A

b

450 V, 15 A

c

450 V, 13.5 A

d

600 V, 15 A

answer is .

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Detailed Solution

Here, Efficiency of the transformer, η=90%Input power, Pin=3 kW = 3×103W=3000 WVoltage across the primary coil, Vp=200VCurrent in the secondary coil, Is=6AAs Pin=IpVp∴ Current in the primary coil,Ip=Pin Vp=3000 W200 V=15 Aη=PoutPin=VSIsVpIp∴  90100=6Vs3000 or Vs=90×3000100×6=450 V
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