Home
Class 12
PHYSICS
Two charges of equal magnitude q are pla...

Two charges of equal magnitude q are placed in air at a distance 2a apart and third charge `-2q` is placed at mid-point . The potential energy of the system is `(epsi_(0)` = permittivity of free space)

A

`-(q^(2))/(8piepsi_(0)a)`

B

`-(3q^(2))/(8piepsi_(0)a)`

C

`-(5q^(2))/(8piepsi_(0)a)`

D

`-(7q^(2))/(8piepsi_(0)a)`

Text Solution

Verified by Experts

The correct Answer is:
D
Electric potential energyy of the system in unit volume is
`U=(1)/(4piepsi_(0))((q)(-2q))/(a)+(1)/(4piepsi_(0))((q)(q))/(2a)`
`=(1)/(4piepsi_(0))((q)(-2q))/(a)`
`=(1)/(4piepsi_(0))[(-2q^(2))/(a)+(q^(2))/(2a)+(-2q^(2))/(a)]`
`=(1)/(4piepsi_(0))[(-4q^(2)+q^(2)-4q^(2))/(2a)]`
`=-(7q^(2))/(8piepsi_(0)a)`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 03

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|1 Videos

  • PRACTICE SET 02

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 1 (Physics)|50 Videos

  • PRACTICE SET 04

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 1 (PHYSICS & CHEMISTRY)|50 Videos

Similar Questions

Explore conceptually related problems

Two point charges 2q and 8q are placed at a distance r apart. Where should a third charge -q be placed between them so that the electrical potential energy of the system is a minimum

Two positive point charges of unequal magnitude are placed at a certain distance apart. A small positive test charge is placed at null point, then

Two point charges q each are fixed at (a,0) and (-a,0). A third charge Q is placed at origin. Electrons potential energy of the system will

Two point charges +q and -q are placed a distance x apart. A third charge is so placed that al the three charges are in equilibrium. Then

Two free charges q and 4q are placed at a distance d apart A third charge Q is placed between them at a distance x from charge q such that the system is in equilibrium. Then

Four small point charges (each of equal magnitude q) are placed at four corners of a regular tetrahedron of side a. find out potential energy of charge system

Two charge q and –3q are placed fixed on x–axis separated by distance d. Where should a third charge 2q be placed such that it will not experience any force ?

Two charges q and 3q are placed fixed on x-axis separated by distance 'd'. Where should a third charge 2q be placed such that it will not experience any force ?