Home
Class 12
PHYSICS
Is it possible to have an arrangement of...

Is it possible to have an arrangement of two point charges separated by finite distances such that the electric potential energy of the arrangement is the same as if the two charges were infinitely far apart? What if there are three charges?

Text Solution

Verified by Experts

`U_oo=0`
`U_r=1/(4piepsilon_0).(q_1q_2)/r` (for two charges)
`U_r!=U_oo`
`For r!=oo`
`U-r=1/(4piepsilon_0)[(q_1q_2)/r_12+(q_2q_3)/r_23+(q_3q_1)/r_31)]`
Now `U_r` can be equal to `U_oo` for finite value of r.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Exercise 24.6|2 Videos

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Exercise 24.7|2 Videos

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Exercise 24.4|4 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

Set up arrangment of three point charges : q, + 2q and x q separated by equal finite distances so that electric potential energy of the system is zero. What is x ?

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

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

Two point charges Q and -Q/4 are separated by a distance x.

Figure shown an arrangement of three points charges. The total potential energy of this arrangement zero. The ratio (q)/(Q) is :

Two point charges +Q and -Q are separated by a certain distance. The resultant electric field is parallel to the line joining the charges at the points

Two chargess +q and +2q , are held in place on the x axis at the locations x = -d and x= +d respectively. A third charge, +3q , is released from rest on the y axis at y = d . (a) Find the electric potential at the initial location of the third charge. (b) Find the initial electric potential energy of the third charge. (c) What is the kinetic energy of the third charge when it has moved infinity far away from the other two charges ?

The electrostatic potential energy of two point charges, 1muC each, placed 1 metre apart in air is :

Two point charges of 10 C each are kept at a distance of 3 m in vacuum. Calculate their electrostatic potential energy.