Home
Class 12
PHYSICS
The displacement of a charge Q in the el...

The displacement of a charge Q in the electric field `vec(E) = e_(1)hat(i) + e_(2)hat(j) + e_(3) hat(k)` is `vec(r) = a hat(i) + b hat(j)`. The work done is

A

`Q(ae_1+be_2)`

B

`Qsqrt((ae_1)^2(+be_2)^2)`

C

`Q(e_1+e_2)sqrt(a^2+b^2)`

D

`Q(sqrt(e_1^2+e_2^2))(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
A
`W = vecF.vecS =qvecE.vecS`
`=Q(e_1hati+e_2hatj+e_3hatk).(ahati+bhatj)=Q(e_1a+e_2b)`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Electric Dipole)|21 Videos

  • ELECTROSTATICS

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Electric Flux and Gauss.s Law)|27 Videos

  • ELECTROSTATICS

    ERRORLESS|Exercise ASSERTION & REASON|25 Videos

  • ELECTRONICS

    ERRORLESS|Exercise Assertion & Reason|26 Videos

  • MAGNETIC EFFECTS OF CURRENT

    ERRORLESS|Exercise ASSERTION & REASON |18 Videos

Similar Questions

Explore conceptually related problems

Find the projection of vec(a) = 2 hat(i) - hat(j) + hat(k) on vec(b) = hat(i) - 2 hat(j) + hat(k) .

The potential field of an electric field vec(E)=(y hat(i)+x hat(j)) is

Charge Q is given a displacement vec r = a hat i + b hat j in an electric field vec E = E_1 hat i + E_2 hat j . The work done is.

A surface element vec(ds) = 5 hat(i) is placed in an electric field vec(E) = 4 hat(i) + 4 hat(j) + 4 hat(k) . What is the electric flux emanting from the surface ?

Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

A force vec(F) = hat(i) + 3 hat(j) + 2 hat(k) acts on a particle to displace it from the point A (hat(i) + 2hat(j) - 3 hat(k)) to the point B(3hat(i) - hat(j)+5hat(k)) . The work done by the force will be

Find the unit vectors perpendicular to both vec(a) and vec(b) when (i) vec(a) = 3 hat(i)+hat(j)-2 hat(k) and vec(b)= 2 hat(i) + 3 hat(j) - hat(k) (ii) vec(a) = hat(i) - 2 hat(j) + 3 hat(k) and vec(b)= hat(i) +2hat(j) - hat(k) (iii) vec(a) = hat(i) + 3 hat(j) - 2 hat (k) and vec(b)= -hat(i) + 3 hat(k) (iv) vec(a) = 4 hat(i) + 2 hat(j)-hat(k) and vec(b) = hat(i) + 4 hat(j) - hat(k)

ERRORLESS-ELECTROSTATICS-NCERT BASED QUESTIONS (Electric Field and Potential)
  1. A particle of mass m and charge q is placed at rest in a uniform elect...

    Text Solution

    |

  2. Two positive point charges of 12 mu C and 8 mu C are 10 cm apart. The ...

    Text Solution

    |

  3. The displacement of a charge Q in the electric field vec(E) = e(1)hat(...

    Text Solution

    |

  4. In the rectangle, shown below, the two corners have charges q(1) = - 5...

    Text Solution

    |

  5. A charged particle of mass m and charge q is released from rest in an ...

    Text Solution

    |

  6. Identify the WRONG statement.

    Text Solution

    |

  7. A particle of mass M and charge q is released from rest in a region of...

    Text Solution

    |

  8. When a negative charge is taken at a height from earth's surface, then...

    Text Solution

    |

  9. A bullet of mass 2 gm is having a charge of 2 muc. Through what potent...

    Text Solution

    |

  10. A square of side a charge Q at its centre and charge q at one of the c...

    Text Solution

    |

  11. Poistive and negative point charges of equal magnitude are kept at (0,...

    Text Solution

    |

  12. Two insulting plates are both uniformly charged in such a way that the...

    Text Solution

    |

  13. Charges +q and -q are placed at points A and B respectively which are ...

    Text Solution

    |

  14. Three cahrges each+q, are placed at the corners of an isosceles trinag...

    Text Solution

    |

  15. An electron of mass m and charge q is accelerated from rest in a unifo...

    Text Solution

    |

  16. A soap bubble is given a negative charge, then its radius

    Text Solution

    |

  17. A point charge is surrounded symmetrically by six identical charges at...

    Text Solution

    |

  18. A positively charged particle is released from rest in a uniform elect...

    Text Solution

    |

  19. The mean free path of electrons in a metal is 4 xx 10^(-8)m The elect...

    Text Solution

    |

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

    Text Solution

    |