Home
Class 12
PHYSICS
A charge Q is uniformly distributed in a...

A charge Q is uniformly distributed in a dielectric sphere of radius R (having dielectric constant unity). This dielectric sphere is enclosed by a concentric spherical shell of radius 2R and having uniformly distributed charge 2Q. Which of the following graph correctly represents variation of electric field with distance r from the common centre?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C

Use Gauses theorem.
Electric field inside uniformly distributed dielectric sphere
`E=r` (For `0ltrleR`)
Between the spheres
`Eprop(Q)/(r^(2))` (For `Rltrle2R`)
Outside the spheres
`E=(3Q)/(r^(2))` (For `2Rltr`)
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS|Exercise Multiple Correct Answer type|109 Videos
  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS|Exercise Assertion and Reason Type|8 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    CENGAGE PHYSICS|Exercise Question Bank|4 Videos
  • MISCELLANEOUS VOLUME 5

    CENGAGE PHYSICS|Exercise Integer|12 Videos

Similar Questions

Explore conceptually related problems

Figure shows two concentric shells of radii a and b uniformly distributed charges q and -q. Which of the following graphs gives correct variation of electric field intensity E with the distance r from the centre?

A spherical shell of radius R has a uniformly distributed charge ,then electric field varies as

A charge Q is uniformly distributed inside a non- conducting sphere of radius R . Find the electric potential energy stored in the system.

Consider a uniform spherical volume charge distribution of radius R. Which of the following graphs correctly represents the magnitude of the electric field E as a distance r from the center of the sphere ?

Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

A metallic spherical shell of radius R has a charge -Q on it. A point charge +Q is placed at the centre of the shell. Which of the graphs shown below may correctly represent the variation of electric field E with distance r from the centre of shell ?

Charges q is uniformly distributed over a thin half ring of radius R . The electric field at the centre of the ring is

A charge Q is distribution over a metal sphere of radius R. What is the electric field and electric potential at the centre ?