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/sqrt3)`

C

`Q^2/(4pi epsilon_0)(1+1/sqrt5)`

D

`Q^2/(2sqrt2 pi epsilon_0)`

Text Solution

Verified by Experts

The correct Answer is:
C
`w=[(KQ^2)/2+(KQ^2)/2+(KQ^2)/(2sqrt5)+ (KQ^2)/(2sqrt5)] =kQ^2 [1+1/sqrt5]`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|89 Videos

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|60 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATIVE CURRENT

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos

  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE) - TRUE/FALSE TYPE|1 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

Consider a system of two equal points charges, each Q = 8 muC , which are fixed at points (2m, 0 ) and (-2m, 0). Another charge mu is held at a point (0,0.1m) on the y-axis. Mass of the charge mu is 91 mg . At t= 0 , mu is released from rest and it is observed to oscillate along y-axis in a simple harmonic manner. It is also observed that at t = 0 , the force experienced by it is 9 xx 10^(-3)N . Charge q 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

VMC MODULES ENGLISH-ELECTROSTATICS-JEE MAIN
  1. For a uniformly charged ring of radius R, the electric field on its ex...

    Text Solution

    |

  2. Charges -q and +q located at A and B, respectively, constitute an elec...

    Text Solution

    |

  3. Four equal point charges Q each are placed in the xy plane at (0,2), (...

    Text Solution

    |

  4. A charge Q is distributed over three concentric spherical shells of ra...

    Text Solution

    |

  5. Two electric dipoles, A, B with respective dipole moments vec(d(A))=-4...

    Text Solution

    |

  6. A particle of mass m and charge q is in a electric and magnetic f...

    Text Solution

    |

  7. An electric field of 1000 V//m is applied to an electric dipole at an...

    Text Solution

    |

  8. Three charges Q+q and + q are placed at the vertices of a right -angle...

    Text Solution

    |

  9. The given graph shows variation (with distance r form center) of :

    Text Solution

    |

  10. There is a uniform spherically symmetric surface charge density at a ...

    Text Solution

    |

  11. Determine the electric dipole moment of the syatem of three charg...

    Text Solution

    |

  12. The bob of a simple pendulum has mass 2g and a charge of 5.0muC. It is...

    Text Solution

    |

  13. A solid conducting sphere, having a charge Q, is surrounded by an unch...

    Text Solution

    |

  14. A positive charge is released from rest at a distance r(0) from a posi...

    Text Solution

    |

  15. In Region of Electric field Given by vec(E)=(Ax-B)hat(I). Where A=20 u...

    Text Solution

    |

  16. A electric dipole is in equilibrium having charge q and -q are placed ...

    Text Solution

    |

  17. A system of three charges are placed as shown in the figure : If ...

    Text Solution

    |

  18. Four points charges -q,+q,+q and -q are placed on y-axis at y=-2d, y=-...

    Text Solution

    |

  19. A particle A of charge 1 mu C is held fixed at a point P in free spa...

    Text Solution

    |

  20. A simple pendulum of length L is placed between the plates of a parall...

    Text Solution

    |