Two insulated spheres of radii R_1 and R_2 ha | vedclass

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(D) When two charged conductors are connected,charge flows from the conductor at a higher potential to the conductor at a lower potential until they r

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$A$ decrease in the energy of the system unless $Q_1 R_2 = Q_2 R_1$

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(D) When two charged conductors are connected,charge flows from the conductor at a higher potential to the conductor at a lower potential until they reach a common potential.Potential of sphere $1$ is $V_1 = \frac{k Q_1}{R_1}$ and potential of sphere $2$ is $V_2 = \frac{k Q_2}{R_2}$.If $V_1 
eq V_2$ (i.e.,$\frac{Q_1}{R_1} 
eq \frac{Q_2}{R_2}$),charge redistribution occurs.During this process,some energy is always dissipated as heat in the connecting wire due to resistance.Therefore,the total energy of the system decreases unless the potentials are already equal,which corresponds to the condition $\frac{Q_1}{R_1} = \frac{Q_2}{R_2}$ or $Q_1 R_2 = Q_2 R_1$.

Two insulated spheres of radii $R_1$ and $R_2$ having charges $Q_1$ and $Q_2$ respectively are connected to each other. There is:

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