Home
Class 12
PHYSICS
Four equal point charges Q each are plac...

Four equal point charges Q each are placed in the xy plane at (0,2), (4,2), (4,-2) and (0, -2)`. The work required to put a fifth charge Q at the origin of the coordinate system will be

A

`(Q^(2))/(4pi epsilon_(0))`

B

`(Q^(2))/(4pi epsilon_(0))(1+(1)/(sqrt(3)))`

C

`(Q^(2))/(4pi epsilon_(0))(1+(1)/(sqrt(5)))`

D

`(Q^(2))/(2sqrt(2)pi epsilon_(0))`

Text Solution

Verified by Experts

The correct Answer is:
C
`W=[(KQ^(2))/(2)+(KQ^(2))/(2)+(KQ^(2))/(2sqrt(5))+(KQ^(2))/(2sqrt(5))]=KQ^(2)[1+(1)/(sqrt(5))]`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST-3 (2020)

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • JEE MAIN REVISION TEST-3

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 1)|3 Videos

  • JEE Main Revision Test-6 | JEE-2020

    VMC MODULES ENGLISH|Exercise PHYSICS|2 Videos

Similar Questions

Explore conceptually related problems

Consider two positive point charges, each of magnitude q, placed on the y-axis at the points (0, a) and (0, -a). A positively charged particle of charge q' and mass m is displaced slightly from the origin in the direction of the positive x-axis. At the origin, charge q' will be in

Two point charges (Q each are placed at (0,y) and (0-y) A point charge q of the same polarity can move along the x-axis. Then

Consider two positive point charges, each of magnitude q, placed on the y-axis at the points (0, a) and (0, -a). A positively charged particle of charge q' and mass m is displaced slightly from the origin in the direction of the positive x-axis. Speed of charge q' at infinity is

Four equal charges Q are placed at the four corners of a square of each side is 'a'. Work done in removing a charge -Q from its centre to infinity is

Two point charges of +Q each have been placed at the positions (-a //2,0, 0) and (a // 2, 0,0) .The locus of the points where - Q charge can be placed such the that total electrostatic potential energy of the system can become equal to zero, is represented by which of the following equations ?

Four charges +q,+q-q, and -q are placed on X - Y plane at the points whose coordinates are (0.5, 0), (0, 0.5), (-0.5, 0) and (0, -0.5) respectively. The electric field due to these charges at a point P(r,r), where r gtgt 0. 5 , will be

Consider two point charges q_(1)=q_(2)=q(qgt0) placed in x-y plane at (0,-R) and (R,0) as shown in the figure. Now charges q_(2) starts revolving in anticlockwise sense with uniform angular velocity omega in a circle about origin in xy-plane. E is magnitude of net field at origin, V is potential at origin and E_(x) is x-component of field at origin then select correct variation of V,E_(x) and E with time t.

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 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 equal negative charges -q are fixed at points (0, -a) and (0,a) on y-axis. A poistive charge Q is released from rest at point (2a, 0) on the x-axis. The charge Q will