Home
Class 12
PHYSICS
Equipotential spheres are drawn round a ...

Equipotential spheres are drawn round a point charge. As we move away from charge will the spacing between two spheres having a constant potential difference decrease, increase or remain constant.

Text Solution

Verified by Experts

`V_1gtV_2`
`V_1=1/(4piepsilon_0).q/r_1` and `V_2=1/(4piepsilon_0)` and `V_2=1/(4piepsilon_0).q/r_2`
`Now, `V_1-V_2=q/(4piepsilon_0)(1/r_1-1/r_2)=q/(4piepsilon_0) ((r_2-r_1)/(r_1r_2)`
`:. (r_2-r_1)=((4piepsilon_(0))(V_1-V_2))/q(r_1r_2)`
For a constant potential difference `(V_1-V_2)`
`r_2-r_1 prop r_1r_2`
i.e. the spacing between two spheres `(r_2-r_1)` increases as we move away from the charge, because the product `r_1r_2` will increase.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Example Type 6|4 Videos
  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Example Type 8|3 Videos
  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Medical entrances gallery|37 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY ENGLISH|Exercise (C) Chapter exercises|50 Videos
  • GRAVITATION

    DC PANDEY ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

When the separation between two charges is increase the electric potential energy of the charges.

Equal charges are given to two spheres of different radii. The potential will

How much work is done in moving a charge of 2 C across two points having a potential difference of 12 V ?

When the separation between two charges is increased, the electric potential energy of the charges

When the separation between two charges is increased, the electric potential energy of the charges

In the given figure there are two concentric shells find potential difference between spheres.

The amount of work done in moving a charge of 5 C across two points having a potential difference of 15 Volts is equal to

A solid metall sphere of radius R has a charge + 2Q. A hollow spherical shell of radius 3R placed concentric with the sphere has charge - Q. Calculate the potential difference between the spheres.

Two conducting spheres of radius R and 3R carry charges Q and -2 Q . Between these spheres a neutral conducting sphere of radius 2R is connected. The separation between the sphere is considerably large Charge flows through conducting wire due to potential difference. The decrease in electric potential energy of sphere of radius R is :

An infinite sheet of charge has surface charge density sigma . The separation between two equipotential surfaces, whose potential differ by V is: