Home
Class 12
PHYSICS
A charge Q is distributed uniformly on a...

A charge `Q` is distributed uniformly on a ring of radius `R` as shown in the following diagrams. Find the electric potential at the center `O` of the ring.
(a)

Text Solution

Verified by Experts

Consider a small charge `dq`. Electric potential at `O` due to `dq`
`dV = (1)/(4 pi in_(0)) . (dq)/(R )`
`V_(O) = Sigma dV = (1)/(4 pi in_(0) R) Sigma dq = (1)/(4 pi in_(0)) .(Q)/(R)`
(b) , (c ) : Answer is same.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    CP SINGH|Exercise Exercises|226 Videos
  • ELECTROMAGNETIC WAVES

    CP SINGH|Exercise EXERCISES|21 Videos
  • MAGNETIC FIELD

    CP SINGH|Exercise EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

A charge Q is distributed uniformly on a ring of radius R as shown in the following diagrams. Find the electric potential at the centre O of the ring

A quarter ring of radius R is having uniform charge density lambda . Find the electric field and potential at the centre of the ring.

A charge of 500 muC is distributed uniformly over the circumference of a ring of radius 25 cm. What will be be electric potential at the centre of ring?

A charge q_0 is distributed uniformly on a ring of radius R. A sphere of equal radius R constructed with its centre on the circumference of the ring. Find the electric flux through the surface of the sphere.

A charge Q is uniformly on a ring of radius R . Find the electric potential on the axis of ring at distance x from the centre of the ring. Sketch variation of potential with respect to x .

A Charge Q is distributed uniformly on a ring of radius r. A sphere of equal r is constructed with its centre at the periphery of the ring (figure 30.12) Find the flux of the electric field through the surface of the sphere.

A charge Q is uniformly distributed inside a non- conducting sphere of radius R . Find the electric potential energy stored in the system.

CP SINGH-ELECTROSTATICS-Exercises
  1. A charge Q is distributed uniformly on a ring of radius R as shown in...

    Text Solution

    |

  2. Which of the following is correct regarding electric charge ? (i) If...

    Text Solution

    |

  3. When 10^(14) electrons are removed from a neutral metal sphere , the c...

    Text Solution

    |

  4. The ratio of the electric force between two electrons to the gravitati...

    Text Solution

    |

  5. Find the ratio of the magnitude of the electric force to the grativati...

    Text Solution

    |

  6. Two insultating small spheres are rubbed against each other and placed...

    Text Solution

    |

  7. Two particles having charge Q(1) and Q(2) , when kept at a certain dis...

    Text Solution

    |

  8. Two point charge +2 C and +6 C repel each other with a force of 12 N ....

    Text Solution

    |

  9. Two identical metals balls with charges +2Q and -Q are separated by so...

    Text Solution

    |

  10. Two positive point charges are 3 m apart their combined charge is 20 m...

    Text Solution

    |

  11. Charge Q is divided into two parts which are then kept some distance a...

    Text Solution

    |

  12. Force of attraction between two point charges Q and -Q separated by d...

    Text Solution

    |

  13. Two charges are at a distance d apart. If a copper plate (conducting m...

    Text Solution

    |

  14. Five balls numbered 1,2,3,4,and 5 are suspended using separated thread...

    Text Solution

    |

  15. Equal charges q are placed at the four corners A,B,C,Dof a square of l...

    Text Solution

    |

  16. Two spherical conductors B and C having equal radii and cayying equal ...

    Text Solution

    |

  17. Two positive ions , each carrying a charge q , are separated by a dist...

    Text Solution

    |

  18. Two point charges +4q and +q are placed at a distance L apart. A thir...

    Text Solution

    |

  19. Two point charges q(1) = +2 C and q(2) = - 1C are separated by a dista...

    Text Solution

    |

  20. A charge q is placed at the centre of the line joining two equal charg...

    Text Solution

    |

  21. In the previous question , if e = electronic charge , the minimum mag...

    Text Solution

    |