Resistances R_1 and R_2 are joined in paralle | vedclass

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

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$\frac{R_2}{R_1}$

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(A) When resistors are connected in parallel,the potential difference $V$ across each resistor is the same.The heat produced $H$ in a resistor of resistance $R$ over a time $t$ is given by the formula $H = \frac{V^2 t}{R}$.Since $V$ and $t$ are constant for both resistors,the heat produced is inversely proportional to the resistance: $H \propto \frac{1}{R}$.Therefore,the ratio of heat liberated is $\frac{H_1}{H_2} = \frac{R_2}{R_1}$.

Resistances $R_1$ and $R_2$ are joined in parallel and a current is passed so that the amount of heat liberated is $H_1$ and $H_2$ respectively. The ratio $\frac{H_1}{H_2}$ has the value:

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