A charge q is distributed uniformly on t...

A charge q is distributed uniformly on the surface of a sold sphere of radius R. It covered by a concentric hollow conduction sphere of radius `2R`. Find the charges inner and outer surface of hollow sphere if it is earthed.

`-q , 0`

`-q , q`

`0, 0`

`0, q`

Text Solution

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The correct Answer is:

The charge on the inner surface of the how sphere should be `-q`, because if we draw a closed Gaussian surface through the metarial of the hollow sphere the total charge enclosed by this Gaussian surface soud be zero. Let `q'` be the charge on the outer surface of the hollow sphere.
`V=1/(4piepsilon_0)[q/(2R)-q/(2R)+q'/(2R)]=0`
`:. q'=0`
Therefore, there will be no charge on the outer surface of the hollow sphere.

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A charge q is distributed uniformly on the surface of a sphere of radius R. It is covered by a concentric hollow conducting sphere of radius 2R. Charge on the outer surface of the hollow sphere will be , if it is earthed

`(q)/(2)`

`2q`

Zero

A charge q_0 is distributed uniformly on a ring of radius R. A sphere of equal radius R constructed with its centre on the circumference of the ring. Find the electric flux through the surface of the sphere.

`q_0/(4epsilon_0)`

`q_0/(2epsilon_0)`

`q_0/(3epsilon_0)`

`q_0/(epsilon_0)`

Conducting sphere of radius R_(1) is covered by concentric sphere of radius R_(2) . Capacity of this combination is proportional to

`(R_(2)-R_(1))/(R_(1)R_(2))`

`(R_(2)+R_(1))/(R_(1)R_(2))`

`(R_(1)R_(2))/(R_(1)+R_(2))`

`(R_(1)R_(2))/(R_(2)-R_(1))`