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Physics - Capacitor Question with Solution | TestHub

PhysicsCapacitorForce & Energy analysisMedium2 minQB

PhysicsMediumsingle choice

Two insulated conducting charged spheres placed far away of radii $R_{1}$ and $R_{2}$ having charges $Q_{1}$ and $Q_{2}$ respectively are connected to each other, then there is -

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Solution:

For widely separated spheres:

$C_{1} = 4 π ϵ_{0} R_{1}, C_{2} = 4 π ϵ_{0} R_{2}$

The energy lost on connecting them is:

$Δ U = \frac{C _{1} C _{2}}{2 ( C _{1} + C _{2} )} (V_{1} - V_{2})^{2} \geq 0$

It vanishes only when the initial potentials agree.

$\frac{Q _{1}}{R _{1}} = \frac{Q _{2}}{R _{2}} ⟺ Q_{1} R_{2} = Q_{2} R_{1}$

Answer D.

Stream:JEESubject:PhysicsTopic:CapacitorSubtopic:Force & Energy analysis

⏱ 2mℹ️ Source: QB

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Physics - Capacitor Question with Solution | TestHub

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