Home
Class 12
PHYSICS
The electirc field in a region is given ...

The electirc field in a region is given by `vecE = (2x hati + 4y hatj) xx 10^(6) N//C` where `x` and `y` are in meters. `A 1 muC` charges particle is moved from origin to coordinates `(2m, 4m)` first along the y-axis and then along the x-axis. The work done by the elctric field is:

A

`-36 J`

B

`+36 J`

C

`0`

D

`16 J`

Text Solution

Verified by Experts

The correct Answer is:
B
Work done in moving from `0` to `A`
`W_(QA) = underset(0)overset(4)int 4ydy = 32J`
Work done in moving from `A` to `B`
`W_(AB) = underset(0)overset(2)int 2xdx = 4J`
`:.` Net work done `= 36 J`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC POTENTIAL & CAPACITANCE

    A2Z|Exercise Section B - Assertion Reasoning|17 Videos

  • ELECTRIC POTENTIAL & CAPACITANCE

    A2Z|Exercise AIPMTNEET Questions|38 Videos

  • ELECTRIC POTENTIAL & CAPACITANCE

    A2Z|Exercise Capacitor Circuits|52 Videos

  • ELECTRIC CHARGE, FIELD & FLUX

    A2Z|Exercise Section D - Chapter End Test|29 Videos

  • ELECTROMAGNETIC INDUCTION

    A2Z|Exercise Section D - Chapter End Test|30 Videos

Similar Questions

Explore conceptually related problems

A force acting on a particle moving in the x-y plane is given by vecF=(2yhati+x^2hatj)N , where x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00m as shown in figure. Calculate the work done by vecF on the particle as it moves along (a) OAC, (b) OBC, and (c) OC. (d) Is vecF conservative or non-conservative? Explain.

A force vec F=(6 hati -8 hatj)N , acts on a particle and displaces it over 4 m along the X-axis and 6 m along the Y-axis. The work done during the total displacement is

A point charge q moves from A to B along a parabolic(x2 =2ay) path (AB is latus rectum). Electric field is along x-axis. The work done by the field is

The gravitational field in a region is given by vecE = (3hati- 4hatj) N kg^(-1) . Find out the work done (in joule) in displacing a particle by 1 m along the line 4y = 3x + 9 .

A body starts from rest from the origin with an acceleration of 3 m//s(2) along the x-axis and 4 m//s^(2) along the y-axis. Its distance from the origin after 2 s will be

The work done by a force F=2(x+4y)hat i+8xhat j N on a particle moving from origin to (4m,2m,0) along the path x^(2)=8y is 10n .Find the value of n

The gravitational field in a region is given by E = (2 hati + 3 hatj) N//kg . Find the work done by the gravitiational filed when a particle of mass 1 kg is moved on the line 3y+ 2X = 5 from (1 m,1m) to (-2 m, 3m) .

A particle of mass m and charge q is in a electric and magnetic field given by vecE = 2hati + 3hatj , vecB = 4hatj +6hatk The charged particle is shifted form the origin to the point P(x = 1, y=1) along a striaght path. The magnitude of the total work done is :

A body starts from rest from the origin with an acceleration of 6m//s^(2) along the x-axis and 8m//s^(2) along the y-axis. Its distance from the origin after 4 seconds will be

A body is displaced from (0,0) to (1 m, 1m) along the path x = y by a force F=(x^(2) hatj + y hati)N . The work done by this force will be

A2Z-ELECTRIC POTENTIAL & CAPACITANCE-Problems Based On Mixed Concepts
  1. In an electric field region, the electric potential varies along the x...

    Text Solution

    |

  2. The electric potential in a region is given by V = (2x^(2) - 3y) volt...

    Text Solution

    |

  3. The electirc field in a region is given by vecE = (2x hati + 4y hatj) ...

    Text Solution

    |

  4. Find out work done by electirc field in shifting a point charge (4sqrt...

    Text Solution

    |

  5. For two points A and B in an electric field, if DeltaW is work done in...

    Text Solution

    |

  6. Three point charges 1C, 2C and 3C are placed at the corners of an equi...

    Text Solution

    |

  7. As per this diagram a point charge +q is placed at the origin O. Work ...

    Text Solution

    |

  8. A particle A has chrage +q and a particle B has charge +4q with each o...

    Text Solution

    |

  9. Charge Q is given a displacement r=ahati+bhatj in electric field E=E1h...

    Text Solution

    |

  10. A particle A of mass m and charge Q moves directly towards a fixed par...

    Text Solution

    |

  11. The electirc field strength at a distance r from the centre of a charg...

    Text Solution

    |

  12. A point charge q is located at the centre O of a spherical uncharged c...

    Text Solution

    |

  13. Three equal charges Q are placed at the three vertices of an equilater...

    Text Solution

    |

  14. An electric dipole of dipole moment vecp is oriented parallel to a uni...

    Text Solution

    |

  15. Two capacitors 3muF and 4muF have same maximum voltage rating V(0). Wh...

    Text Solution

    |

  16. In the circuit shown in figure charge stored in the capacitor of capac...

    Text Solution

    |

  17. It is possible to obtain a large potential difference by charging a nu...

    Text Solution

    |

  18. Three long conducting plates A, B and C having charges +q, -2q, and +q...

    Text Solution

    |

  19. Two charged particles having charge 1 muC and -muC and of mass 50 gm e...

    Text Solution

    |

  20. The charge flowing through the cell on cloing the key k is equal to :

    Text Solution

    |