Q144 / 150 · MHT CET 2022 (08 Aug Shift 1) · Physics

A current of $5 \mathrm{~A}$ is flowing at $220 \mathrm{~V}$ in the primary coil of transformer. If the voltage produced in the secondary coil is $2200 \mathrm{~V}$ and $50 \%$ of power is lost, then the current in secondary will be

  • A
    2.5 A
  • B
    0.5 A
  • Correct answer
    C
    0.25 A
  • D
    5 A

Solution

Let $I$ be the current flowing through secondary coil. Current on primary (input) coil $i=5 \mathrm{~A}$ Voltage in primary coil $V=220 \mathrm{~V}$ Voltage in secondary coil $V^{\prime}=2200 \mathrm{~V}$ Considering only $50 \%$ power is transmitted: $\begin{aligned} & 0.5(\mathrm{Vi})=V^{\prime} I \\ & \therefore 0.5 \times 220 \times 5=2200 \times I \\ & \Rightarrow I=0.25 \mathrm{~A} \end{aligned}$

Hence, the correct answer is option: 'C'.

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