Identify correct relation for the circuit mentioned below, assuming the current $I_{3}$ flows through a conductor with zero resistance:

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Solution

If an ideal conductor (i.e. a conductor without any resistance) is connected across a circuit, all the current will flow through the conductor.
$∴ I_{2} = I_{4} = 0$
Also, $I_{1} = I_{2} + I_{3} + I_{4}$
$\Rightarrow I_{1} = I_{3}$
We know that in series connection current remains the same.
$∴ I_{1} = I_{2} + I_{3} + I_{4} = I_{3} = I_{5}$

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