Home
Class 12
PHYSICS
Point charges +q and -q are kept alterna...

Point charges `+q and -q` are kept alternately at the corners of a cube of side 'a' as shown in the figure. Write an expression for the work done in removing all the charges far away from each other.

Text Solution

Verified by Experts

Required work done = - (Initial potential energy of the system)
`-[12((q)(-q))/(4piepsilon_(0)(a))+6((q)(q))/(4piepsilon_(0)(sqrt(2)a))+6((-q)(-q))/(4piepsilon_(0)(sqrt(2)a))+4((q)(-q))/(4piepsilon_(0)(sqrt(3)a))]`
`=(q^(2))/(4piepsilon_(0)a)(12-6sqrt(2)+(4)/(sqrt(3)))`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL - I|14 Videos

  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) FILL IN THE BLANKS|4 Videos

  • ELECTROSTANTICS

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|15 Videos

  • ELECTROMAGNETIC WAVE & WAVE OPTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS Objective : Level-II (MULTI CHOICE SINGLE CORRECT)|21 Videos

  • ELECTROSTATICS

    FIITJEE|Exercise Example|14 Videos

Similar Questions

Explore conceptually related problems

Four point charges Q.q Q and q are placed at the corners of a square side 'a' as shown in the figures. Find the resultant electric force on a charge Q,

Charges +q and -q are located at the corners of a cube of side as show in the figure. Find the work done to separate the charges to infinite distance

Four point charges Q.q Q and q are placed at the corners of a square side 'a' as shown in the figures. Find the Potential energy of this system.

A point charge q is kept at a corner of a cube

Four point charges Q, q, Q and q are placed at the corners of a square of side' a' as shown in the figure. Find the . (a) resultnat electric force on a charge Q and . (b) potential energy of this system.

Eight point charges are placed at the corners of a cube of edge a as shown in figure. The work done in disassembing this system of charges will be-

(a) Three point charges q,-4q and 2q are placed at the vertices of an equilateral triangle ABC of side 'l' as shown in the figure. Obtain the expression for the magnitude of the resultant electric force acting on the charge q. (b) Find out the amount of the work 4one to separate the charges at infinite distance.