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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

The capacity of an isolated sphere is increased $n$ times when it is enclosed by an earthed concentric sphere. The ratio of their radii is

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Answer:

Solution:

Capacity of an isolated sphere $C_{1} = 4 π ε_{0} R_{1}$

and Capacity of a sphere when enclosed by an earthed concentric sphere

$C_{2} = 4 π ε_{0} (\frac{R_{1} R_{2}}{R_{1} + R_{2}})$

Given that $C_{2} = n C_{1}$

or $\frac{R_{2} R_{1}}{R_{2} - R_{1}} = n R_{1}$

or $\frac{\frac{R_{2}}{R_{1}}}{\frac{R_{2}}{R_{1}} - 1} = n$

or $\frac{R_{2}}{R_{1}} = \frac{n}{n - 1}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElectrostaticsSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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