Home
Class 12
PHYSICS
A spherical portion has been removed fro...

A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inisde the emptied space is

A

(a) zero everywhere

B

(b) non-zero and uniform

C

(c) non-uniform

D

(d) zero only at its center

Text Solution

Verified by Experts

The correct Answer is:
B
Let us conisder a uniformly charged solid sphere without any cavity. Let the charge per unit volume be `isgma` and O be the centre of the sphere. Let us conisder a uniformly charged sphere of negative charged denisty `isgma` having its centre at O'. Also let OO' be equal to a. Let us conisder an arbitrary point P in the small sphere. The electric field due to charge on big sphere
`vecE_1=(isgma)/(3epislon_0)vec(OP)`
Also the electric field due to small sphere
`vecE_2=(isgma)/(3epislon_0)vec(PO)'` `:.` The total electric field
`vecE=vecE_1+vecE_2=(isgma)/(3epislon_0)[vec(OP)+vec(PO)]=(isgma)/(3epislon_0)vec(OO)'`
Thus electric field will have a finite value which will be uniform.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise Subjective Problems|2 Videos

  • ELECTROSTATICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise Comprehension Based Questions|2 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|107 Videos

  • MODERN PHYSICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQ (One Correct Answer|1 Videos

Similar Questions

Explore conceptually related problems

A very small sphere having a charge q, uniformly distributed throughout its volume, is placed at the vertex of a cube of side a. The electric flux through the cube is

Find the electric work done in bringing a charge q from A to B in a sphere of charge Q distributed uniformly throughout its volume. .

A spherical conductor of radius 12 cm has a charge of 1.6xx10^(-7)C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c ) at a point 18 cm from the center of the sphere ?

A spherical shell having charge +Q (uniformly distributed) and placed as shown. Find the force between shell and the point charge (r gt gt R) .

A solid hemispherical uniformly charged body having charge Q is kept symmetrically along the y -axis as shown in the figure. The net electric field at ( d , 0 , 0 ) is

The uniform solid sphere shown in the figure has a spherical hole in it. Find the position of its centre of mass.

Assertion: Electric potential on the surface of a charged sphere of radius R is V. Then electric field at distance r=R/2 from centre is V/(2R) . Charge is distributed uniformly over the volume. Reason: From centre to surface, electric field varies linearly with r. Here r is distance from centre.