Home
Class 12
PHYSICS
A spherical insulator of radius R is cha...

A spherical insulator of radius R is charged uniformly with a charge Q throughout its volume and contains a point charge `Q/16` located at its centre. Which of the following graphs best represents qualitatively, the variation of electric field intensity E with distance r from the centre?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A
For `(x lt R),=(Qx)/((4)/(3)piR^(3)3epsi_(0))+(Q//16)/(4piepsi_(0)x^(2))`
`(dE)/(dx)=0implies(Q)/(4piepsi_(0))=((1)/(R^(3))-(2)/(16x^(3)))=0`
`(d^(2)E)/(dx^(2))=(6Q)/(4piepsi_(0)(16x^(4)))gt0`
`thereforeAt x=(R)/(2),E` is minimum.
For `(x gt R), E=((Q+Q//16))/(4piepsi_(0)x^(2))`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CHARGES AND FIELDS

    NCERT FINGERTIPS|Exercise NCERT Exemplar|5 Videos

  • ELECTRIC CHARGES AND FIELDS

    NCERT FINGERTIPS|Exercise EXEMPLAR PROBLEMS|1 Videos

  • ELECTRIC CHARGES AND FIELDS

    NCERT FINGERTIPS|Exercise HOTS|1 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • ELECTROMAGNETIC INDUCTION

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

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?

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 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 ?

For a uniformly charged non conducting sphere of radius R which of following shows a correct graph between the electric field intensity and the distance from the centre of sphere –

A ring of radius R is charged uniformly with a charge +Q . The potential at a point on its axis at a distance 'r' from any point on ring will be-

A sphere of radius R, is charged uniformly with total charge Q. Then correct statement for electric field is (r = distance from centre): -