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In an adjacent circuit, which resistance consumes more power $R_{1}$ or $R_{2}$ ? (given that $R_{1}$ > $R_{2}$ )

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The potential difference across

R_{1}

is high.

Current through

R_{1}

is greater than through

R_{2}

Power consumed in

R_{1}

is greater than in

R_{2}

None of these

answer is D.

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Detailed Solution

An adjacent circuit which resistance consumes more power

R_{1}

R_{2}

(given that

R_{1}

R_{2}

) is
given by nothing is matched.
As resistors are joined in parallel, therefore, the potential difference is the same across the
two resistors.

I_{1} {\times R}_{1} = I_{2} \times R_{2}

∵

R_{1} > R_{2}

\Rightarrow I_{1} < I_{2}

Also, power consumed,

P_{1} = \frac{V^{2}}{R_{1}}

and

\Rightarrow P_{2} = \frac{V^{2}}{R_{2}}

\Rightarrow P_{1} < P_{2} (∵ R_{1} > R_{2})

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