Home
Class 12
PHYSICS
A cube of side b has a charge q at each ...

A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.

Text Solution

Verified by Experts

Potential = `4q//(sqrt(3)pi epsilon_(0) b)`, field is zero, as expected by symmetry.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    NCERT GUJARATI|Exercise ADDITIONAL EXERCISES|1 Videos

  • ELECTROMAGNETIC WAVES

    NCERT GUJARATI|Exercise ADDITIONAL EXERCISES|5 Videos

  • MAGNETISM AND MATTER

    NCERT GUJARATI|Exercise Additional Exercises|19 Videos

Similar Questions

Explore conceptually related problems

A regular hexagon of side 10 cm has a charge 5 muC at each of its vertices. Calculate the potential at the centre of the hexagon.

Given a cube with point charges q on each of its vertices. Calculate the force exerted on any of the charges due to rest of the 7 charges.

Explain electrostatic potential energy in electric field due to an artangement of electric charge.

The electric field due to a uniformly charged sphere is maximum at :

The length of each side of a cubical closed surface is l If charge q is situated on one of the vertices of the cube , then find the electric flux passing through shaded face of the cube. .

Derive an expression for the electric potential in a electric field of positive point charge at distance r.

A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are

A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre

Figure below show regular hexagons with charges at the vertices. In which of the following cases the electric field at the centre is not zero

NCERT GUJARATI-ELECTROSTATIC POTENTIAL AND CAPACITANCE -EXERCISES
  1. A 12pF capacitor is connected to a 50V battery. How much electrostatic...

    Text Solution

    |

  2. A 600pF capacitor is charged by a 200V supply. It is then disconnected...

    Text Solution

    |

  3. A cube of side b has a charge q at each of its vertices. Determine the...

    Text Solution

    |

  4. Two tiny spheres carrying charges 1.5 µC and 2.5 µC are located 30 cm ...

    Text Solution

    |

  5. A spherical conducting shell of inner radius r(1) and outer radius r(2...

    Text Solution

    |

  6. (a) Show that the normal component of electrostatic field has a discon...

    Text Solution

    |

  7. A long charged cylinder of linear charged density lambda is surrounded...

    Text Solution

    |

  8. In a hydrogen atom, the electron and proton are bound at a distance of...

    Text Solution

    |

  9. If one of the two electrons of a H(2) molecule is removed, we get a hy...

    Text Solution

    |

  10. Two charged conducting spheres of radii a and b are connected to each ...

    Text Solution

    |

  11. Two charges –q and +q are located at points (0, 0, –a) and (0, 0, a), ...

    Text Solution

    |

  12. Figure 2.32 shows a charge array known as an electric quadrupole. For ...

    Text Solution

    |

  13. An electrical technician requires a capacitance of 2 µF in a circuit a...

    Text Solution

    |

  14. What is the area of the plates of a 2 F parallel plate capacitor, give...

    Text Solution

    |

  15. Obtain the equivalent capacitance of the network in Fig. 2.33. For a 3...

    Text Solution

    |

  16. The plates of a parallel plate capacitor have an area of 90 cm^2 each ...

    Text Solution

    |

  17. A 4 muF capacitor is charged by a 200 V supply. It is then disconnect...

    Text Solution

    |

  18. Show that the force on each plate of a parallel plate capacitor has a ...

    Text Solution

    |

  19. A spherical capacitor consists of two concentric spherical conductors,...

    Text Solution

    |

  20. A spherical capacitor has an inner sphere of radius 12 cm and an outer...

    Text Solution

    |