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Simple Circuit

Three resisto...

Question

Three resistors are connected in parallel across a potential difference and a current $I$ passes through it, the resistance values are such that $R_{1} < R_{2} < R_{3}$ , then the ratio of branch currents in the same order is:

i_{1} < i_{2} < i_{3}

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i_{1} = i_{2} = i_{3}

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i_{1} > i_{2} > i_{3}

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None of these

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Solution

The correct option is C $i_{1} > i_{2} > i_{3}$
$i = \frac{V}{R}$

We know that in parallel combination, potential difference (V) across each resistor is same.

$⟹ i \propto \frac{1}{R}$

Since $R_{1} < R_{2} < R_{3}$

$⟹ i_{1} > i_{2} > i_{3}$

Answer-(C)

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