A transformer operating at primary voltage 8 kV and secondary voltage 160   V serves a load of 80 &#160…

A transformer operating at primary voltage 8kV and secondary voltage 160 V serves a load of 80 kW. Assuming the transformer to be ideal with purely resistive load and working on unity power factor, the loads in the primary and secondary circuit would be
  1. 800 Ω and 1.06 Ω
  2. 10 Ω and 500 Ω
  3. 800 Ω and 0.32 Ω
  4. 1.06 Ω and 500 Ω

Solution

Since the transformer is assumed to be purely resistive, the power of the transformer can be calculated with P=V2R. Therefore,

For the primary coil,

P=8×1032RP=80×103 W

RP=800 Ω

For the secondary coil,

P=1602RS=80×103 W

RS=0.32Ω

Asked in: JEE Main 2022 (28 Jul Shift 2)

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