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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
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Verified Answer
The correct answer is:
0.25 A
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:
$\begin{aligned}
& 0.5(\mathrm{Vi})=V^{\prime} I \\
& \therefore 0.5 \times 220 \times 5=2200 \times I \\
& \Rightarrow I=0.25 \mathrm{~A}
\end{aligned}$
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:
$\begin{aligned}
& 0.5(\mathrm{Vi})=V^{\prime} I \\
& \therefore 0.5 \times 220 \times 5=2200 \times I \\
& \Rightarrow I=0.25 \mathrm{~A}
\end{aligned}$
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