Home
Class 12
PHYSICS
The electric potential V at any point x,...

The electric potential V at any point x, y, z in space is given by `V = 4 x^2 V`. The electric field at the point (1, 0, 2) is_________ V `m^(-1)`.

Text Solution

Verified by Experts

`-8hati, vec E = - (dV)/(dr)hatr = -[(delV)/(delx)hati + (delV)/(dely)hatj+(delV)/(delz)hatk] = (-del)/(delx) (4 x^2)hati` and at point (1, 0 , 2) we have `vec E = -8 hati`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise TRUE OR FALSE|7 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise ASSERTION-REASON TYPE QUESTIONS|5 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise MULTIPLE CHOICE QUESTIONS|35 Videos

  • ELECTROMAGNETICE INDUCTION

    U-LIKE SERIES|Exercise Self Assessment Test Section -D|1 Videos

  • EXAMINATION PAPER 2020 (SOLVED)

    U-LIKE SERIES|Exercise SECTION D|6 Videos

Similar Questions

Explore conceptually related problems

The electrostatic potential V at any point (x, y, z) in space is given by V=4x^(2)

The electric potential at any point x,y an z in metres is given by V = 3x^(2) . The electric field at a point (2,0,1) is

The electric potential V at any point ( x,y, z) in space is given by V = 4 x^(2) V . The electric field E (in ( V )/( m )) at the point ( 1,0,2) is

The electric potential V at any point x, y, z (all in meters) in space is given by V=4x^2 volts. The electric field at the point (1m, 0, 2m) is…………….. V//m .

The electric potential V at any point x,y,z (all in metre) in space is given by V=4x^2 volt. The electric field at the point (1m, 0, 2m) is …………… V/m .

The electric potential V at any point (x,y,z) , all in meters in space is given by V= 4x^(2) volt. The electric field at the point (1,0,2) in volt//meter is

The electirc potential at a point (x, y, z) is given by V = -x^(2)y - xz^(3) + 4 The electric field vecE at that point is

The electric potential at a point (x,y,z) is given by V=-s^(2)

U-LIKE SERIES-ELECTROSTATIC POTENTIAL AND CAPACITANCE -FILL IN THE BLANKS
  1. A small sphere A of radius r and carrying a charge q is enclosed by a ...

    Text Solution

    |

  2. Capacitance of a spherical conductor of radius r is given as .

    Text Solution

    |

  3. Electric potential at the centre of a spherical shell of radius r and ...

    Text Solution

    |

  4. Potential energy of an electric dipole in a uniform electric field is ...

    Text Solution

    |

  5. The electric potential V at any point x, y, z in space is given by V =...

    Text Solution

    |

  6. Two spheres A and B have their radii R and 2R respectively and charge ...

    Text Solution

    |

  7. When two capacitors C1 and C3 are connected in series, the ratio of ch...

    Text Solution

    |

  8. When two capacitors C1 and C2 are connected in parallel, the ratio of ...

    Text Solution

    |

  9. The plates of a charged parallel plate capacitor attract each other by...

    Text Solution

    |

  10. A 5 muF capacitor is charged to a potential of 100 V and then disconne...

    Text Solution

    |

  11. Two capacitors of a capacitance 3 mu Fand 6mu F respectively are conne...

    Text Solution

    |

  12. Five identical capacitor plates, each of surface area 'A', are arrange...

    Text Solution

    |

  13. The capacitance of a conductor when an earthed conductor is brought n...

    Text Solution

    |

  14. A capacitor of capacitance 8 muF is connected across a 200 V power sup...

    Text Solution

    |

  15. Electric field is always directed to an equipotential surface.

    Text Solution

    |

  16. SI unit of capacitance is .

    Text Solution

    |

  17. A parallel plate capacitor has a capacitance of 6 muF. If the separati...

    Text Solution

    |

  18. We have a charged conductor having a cavity. Electric field inside the...

    Text Solution

    |