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Two resistor R and  2R are connected in parallel in an electric circuit. The thermal energy developed in  R  and 2R  are in the ratio of

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\(P=I^2R=\frac{V^2}R\)

in parallel combination we know that voltage across each element is same, so for above relation voltage is same for both hence power will directly depend upon resistance value 

\(\therefore \frac{P_1}{P_2}=\frac21\)

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