Home
Class 12
PHYSICS
Assume that an electric fieldvecE = 30 x...

Assume that an electric field`vecE = 30 x^(2)hati` exists in space. Then the potential difference VA – VO, where VO is the potential at the origin and `V_(A)` the potential at x = 2 m is :

A

`120 J`

B

`-120 J`

C

`-80 J`

D

`80 J`

Text Solution

Verified by Experts

The correct Answer is:
C
As we know potential difference `V_A-V_0 is dV=-Edx`
`int_(V_0)^(V_A) dV=- int_0^2 30x^2 dx, V_A-V_0=-30 times [x^3/3]^2 =-10 x[2^3-(0)^3]=-10 times 8=-80 J`
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

Assume that an electric field vecE=30x^2hati exists in space. Then the potential difference V_A-V_O , where V_O is the potential at the origin and V_A the potential at x=2m is:

Assume that an electric field vec(E) = 30 x^(2) hat(i) exists in space. Then the potential differences V_(A) - V_(0) where V_(0) is the potential at the origin and V_(A) , the potential at x = 2m is

An electric field vec E=20y hat j exist in space . The potential at (5 m, 5 m) is taken to be zero. The potential at origin is

An electric field vec(E)=B x hat(i) exists in space, where B = 20 V//m^(2) . Taking the potential at (2m, 4m) to be zero, find the potential at the origin.

An electric field vecE = vec I Ax exists in the space, where A= 10 V m ^(-2). Take the potential at (10m, 20m ) to be zero. Find the potential at the origin.

An electric field E = (20hati + 30 hatj) N/C exists in the space. If the potential at the origin is taken be zero, find the potential at (2 m, 2 m) .

An electric field E = (20hati + 30 hatj) N/C exists in the space. If thepotential at the origin is taken be zero, find the potential at (2 m, 2 m) .

An electric field vecE = vec(i20 + vecj30 ) NC^(-1) exists in the space. If the potential at the origin is taken to be zero find the potential at (2m, 2m).

A uniform field of 8 N/C exists in space in positive x-direction. (a) Taking the potential at the origin to be zero, write an expression for the potential at a general point (x, y, z). (b) At which points, the potential is 160 V ? (c) It the potential at the origin is taken to be 80V, what will be the expression for the potential at a general point ? (d) What will be the potential at the origin if the potential at x = infinity is taken to be zero ?

An electric field of 20 N//C exists along the x-axis in space. Calculate the potential difference V_B - V_A where the points A and B are given by a. A=(0,0), B=(4m, 2m) b. A=(4m,2m),B=(6m,5m)

VMC MODULES ENGLISH-ELECTROSTATICS-JEE MAIN
  1. A charge Q is uniformly distributed over a long rod AB of length L as ...

    Text Solution

    |

  2. Two charges, each equal to q, are kept at x = −a and x = a on the x-ax...

    Text Solution

    |

  3. Assume that an electric fieldvecE = 30 x^(2)hati exists in space. Then...

    Text Solution

    |

  4. A long cylindrical shell carries positive surface charge sigma in the ...

    Text Solution

    |

  5. A uniformly charged solid sphere of radius R has potential V(0) (meas...

    Text Solution

    |

  6. The region between two concentric spheres of radii a and b (gt a) cont...

    Text Solution

    |

  7. An electric dipole has a fixed dipole moment vecp, which makes angle t...

    Text Solution

    |

  8. Three concentric spherical metallic shells A, B and C of radii a, b an...

    Text Solution

    |

  9. Charge is distributed within a sphere of radius R with a volume charge...

    Text Solution

    |

  10. Two point charges q(1)(sqrt(10)mu C) and q(2)(-25mu C) are placed on t...

    Text Solution

    |

  11. Three charges +Q, q, +Q are placed respectively, at distance, 0, d...

    Text Solution

    |

  12. For a uniformly charged ring of radius R, the electric field on its ex...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |