Verified Solution • 2025–26 Session moderate

QJEEM22Ph541c: JEE Main 2022 Physics - Class 12 JEEM22Ph541c Solution: A transformer operating at primary voltage and secondary…

A transformer operating at primary voltage 8 kV8 \,\mathrm{kV} and secondary voltage 160 V160 \mathrm{~V} serves a load of 80 kW80 \mathrm{~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

Multiple Choice Options

  • A 800 Ω800 \,\Omega and 1.06 Ω1.06 \,\Omega
  • B 10 Ω10 \,\Omega and 500 Ω500 \,\Omega
  • C 800 Ω800 \,\Omega and 0.32 Ω0.32 \,\Omega
  • D 1.06 Ω1.06 \,\Omega and 500 Ω500 \,\Omega

Step-by-Step Verified Solution

V1i1=V2i2=80{V_1}{i_1} = {V_2}{i_2} = 80 kW

⇒i1=10 A\Rightarrow {i_1} = 10\,A and i2=80×1000160=500 A{i_2} = {{80 \times 1000} \over {160}} = 500\,A

⇒R1=V1i1=800 Ω\Rightarrow {R_1} = {{{V_1}} \over {{i_1}}} = 800\,\Omega and R2=160500=0.32 Ω{R_2} = {{160} \over {500}} = 0.32\,\Omega

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