Home
Class 12
PHYSICS
Eight point charge of charge q each are ...

Eight point charge of charge `q` each are placed on the eight corners of a cube of side a. A solid neutral metallic sphere of radius ` a//3` is placed with its centre at the centre of the cube . As a result charges are induced on the sphere , which form certain pattern on its surface . What is the potential at the center of the sphere .

A

`8/sqrt(3) (kq)/a`

B

`16/(sqrt3) (kq)/a`

C

`(-8)/sqrt(3) (kq)/a`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
b. Due to the induced charges of sphere, its potential will remain zero because net induced charge is zero. Potential of sphere will be due to only eight discrete charges.
`V=8((kq)/(sqrt(3)a//2))=(16kq)/(sqrt(3)a)`
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

Eight point charge of charge q each are placed on the eight cormers of a cube of side a. A solid neutral metallic sphee of radius a//3 is placed with its centre at the centre of the cube . As a result charge ar induced on the sphere , which form certain parttern on its surace . What is the potenitial of the sphere .

Eight point charges , each q , are placed on the vertices of a cube of side a . Find the potential energy of the system of charges.

At the eight corners of a cube of side 10 cm, equal charge each of value 10 C are placed. Calculate the potebtial at the centre of the cube.

A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 5 V. What is the potential at the centre of the sphere?

A hollow metal sphere of radius 6 cm is charged such that the potential on its surface is 12 V.What is the potential at the centre of the sphere?

Eight equal point charges each of charge 'q' and mass 'm' are placed at eight corners of a cube of side 'a'. (i) Find out potential energy of charge system.

A hollow sphere of radius 50 cm is charged, such that the potential on its surface is 500 V. What is the potential at the centre of sphere ?

A charge 'Q' is placed at each corner of a cube of side 'a'. The potential at the centre of the cube is