Home
Class 12
PHYSICS
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.

A

`-q , 0`

B

`-q , q`

C

`0, 0`

D

`0, q`

Text Solution

Verified by Experts

The correct Answer is:
A
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.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY|Exercise Level 2 Single Correct|94 Videos

  • ELECTROSTATICS

    DC PANDEY|Exercise Exercise 24.1|4 Videos

  • ELECTROSTATICS

    DC PANDEY|Exercise Example Type 6|4 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY|Exercise (C) Chapter exercises|50 Videos

  • GRAVITATION

    DC PANDEY|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

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.

A conducting sphere of radius 2R carrying charge Q is joined to an uncharged conducting sphere of radius R . Find the charge flow through cinnecting wire.

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

Repeat the question if sphere is a hollow non-conducting sphere of radius R and has uniform surface charge density sigma .

A charge Q is uniformly distributed over the surface of two conducting concentric spheres of radii R and r (Rgtr). Then, potential at common centre of these spheres is

A conducting sphere of radius R and carrying a charge Q is joined to an uncharged conducting sphere of radius 2R . The charge flowing between them will be

A Charge Q is distributed uniformly on a ring of radius r. A sphere of equal r is constructed with its centre at the periphery of the ring (figure 30.12) Find the flux of the electric field through the surface of the sphere.

If charge q is induced on outer surface of sphere of radius R, then intensity at a point P at a distance S from its centre is

Knowledge Check

  • 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

    A
    `(q)/(2)`
    B
    `2q`
    C
    4q
    D
    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.

    A
    `q_0/(4epsilon_0)`
    B
    `q_0/(2epsilon_0)`
    C
    `q_0/(3epsilon_0)`
    D
    `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

    A
    `(R_(2)-R_(1))/(R_(1)R_(2))`
    B
    `(R_(2)+R_(1))/(R_(1)R_(2))`
    C
    `(R_(1)R_(2))/(R_(1)+R_(2))`
    D
    `(R_(1)R_(2))/(R_(2)-R_(1))`