Two wires with resistances R and 2R are conne | vedclass

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(A) When resistors are connected in parallel,the potential difference $V$ across each resistor is the same.The heat generated $H$ in a resistor is giv

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$1:2$

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(A) When resistors are connected in parallel,the potential difference $V$ across each resistor is the same.The heat generated $H$ in a resistor is given by the formula $H = \frac{V^2}{R} \cdot t$,where $t$ is the time.Since $V$ and $t$ are constant for both resistors,the heat generated is inversely proportional to the resistance: $H \propto \frac{1}{R}$.Let $H_1$ be the heat generated in the wire with resistance $2R$ and $H_2$ be the heat generated in the wire with resistance $R$.Then,$\frac{H_1}{H_2} = \frac{R}{2R} = \frac{1}{2}$.Therefore,the ratio of heat generated in $2R$ and $R$ is $1:2$.

Two wires with resistances $R$ and $2R$ are connected in parallel. The ratio of heat generated in $2R$ and $R$ is:

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