What is the ratio of heat generated in resist | vedclass

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(A) The resistors $R$ and $2R$ are connected in parallel to the voltage source $E$.In a parallel connection,the potential difference $V$ across each r

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$2:1$

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(A) The resistors $R$ and $2R$ are connected in parallel to the voltage source $E$.In a parallel connection,the potential difference $V$ across each resistor is the same.The heat generated $H$ in a resistor is given by the formula $H = \frac{V^2}{R} t$.Since $V$ and $t$ are constant for both resistors,the heat generated is inversely proportional to the resistance: $H \propto \frac{1}{R}$.Therefore,the ratio of heat generated in $R$ and $2R$ is $\frac{H_R}{H_{2R}} = \frac{2R}{R} = \frac{2}{1}$ or $2:1$.

What is the ratio of heat generated in resistors $R$ and $2R$ connected in parallel as shown in the figure?

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