Home
Class 12
PHYSICS
Calculate the amount of work done by a u...

Calculate the amount of work done by a uniform electric field of 200 `Vm^(-1)` on an electric dipole of length 0.05m and charge 40nC in order that the angle between the axis and the field is equal to `180^(@)`, what is the amount of torque required to maintain that position?

Text Solution

Verified by Experts

`W=pE(1-costheta),p=(2l)q=(0.05)(40xx10^(-9))`
`therefore p=2xx10^(-9)Cm`
`therefore W=(2xx10^(-9))(200)(1-cos180^(@))=8xx10^(-7)J`
`tau=pEsintheta`
`tau=0" "because sin180^(@)=0`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWER|3 Videos
  • ELECTROMAGNETIC WAVES

    SUBHASH PUBLICATION|Exercise ONE MARK QUESTIONS WITH ANSWERS|36 Videos
  • II PUC ANNUAL EXAMINATION QUESTION PAPER MARCH 2019

    SUBHASH PUBLICATION|Exercise QUESTION|34 Videos

Similar Questions

Explore conceptually related problems

Write the expression for work done by the force acting on an electric dipole to deflect it through a certain angle with respect to the uniform electric field.

Am electric dipole is placed in a uniform electric field . (i) Show that no traslatory force acts on it . (ii) Derive an expression for the torque acting on it. (iii) Find work done in rotating the dipole through 180^(@) .

A bar magnet of magnetic moment 1.5 JT^(-1) lies aligned with the direction of a uniform magnetic field of 0.22 T. (a) What is the amount of work required by an external torque to turn the magnet so as to align its magnetic moment: (i) normal to the field direction (ii) opposite to the field direction? (b) What is the torque on the magnet in cases (i) and (ii)?

An electric dipole is held in a uniform electric field . (i) Show that the net force acting on it is zero. (ii) The dipole is aligned parallel to the field . Find the work done in rotating it throught the angle of 180^(@)

An electric dipole with dipole moment 4xx10^(-9) cm is aligned at 30^(@) with the direction of a uniform electric field of magnitude 5xx10^(4)NC^(-1) . Calculate the magnitude of the torque acting on the dipole.

Two charges respectively of +3.2xx10^(-19) coublem and -3.2xx10^(-19) coulomb are separated by a distance of 2.4xx10^(-10) m . This dipole is placed in a homogeneous electric field of 4.0xx10^(5)V//m . Find (i) Electric dipole moment (ii) The maximum moment exerted on the dipole by the electric field. (iii) The energy necessary for rotating the dipole from equilibrium position to 180^(@) .

Consider a uniform electric field vecE=3xx10^(3)hatiNC^(-1) a. Whate is the flux of this field through a square of 0.1 m on a side whose plane is parallel to the y-z plane? b. What is the flux through the same square if the normal to its plane makes a 60 angle with x-axis?

An electric dipole is placed in a uniform electric field vecE with its dipole moment vecp parallel to the field . Find (i) the work done in turning the dipole till its dipole moment points in the direction opposite to vecE . (ii) The orientation of the dipole for which the torque acting on it become the maximum.

SUBHASH PUBLICATION-ELECTROSTATIC POTENTIAL AND CAPACITANCE -NUMERICALS WITH SOLUTIONS
  1. A spherical hollow conductor is charged to -250V. If the radius of the...

    Text Solution

    |

  2. Three point charges +10nC,-15nC and +20nC are placed at the corners A,...

    Text Solution

    |

  3. Calculate the amount of work done by a uniform electric field of 200 V...

    Text Solution

    |

  4. Calculate the number of electrons to be transferred from a material bo...

    Text Solution

    |

  5. The effective capacitances of two condensers are 3muF and 16muF, when ...

    Text Solution

    |

  6. A parallel plate capacitor consists of two circular plates of radius 0...

    Text Solution

    |

  7. When two capacitors are connected in series across a 2kV line, the ene...

    Text Solution

    |

  8. Two capacitors 3muF and 5muF are charged to 18V and 25V respectively. ...

    Text Solution

    |

  9. Two capacitors 1muF and 3muF are charged individually to voltages of 1...

    Text Solution

    |

  10. Three concentric metallic spheres A, B and C of radii 1m, 2m and 3m re...

    Text Solution

    |

  11. A parallel capacitor collects a charge of 3muC when connected to a 1.5...

    Text Solution

    |

  12. You are provided with 3 capacitors, each capacitance 2muF. In how many...

    Text Solution

    |

  13. Two charges 5xx10^(-8)C and -3xx10^(-8)C are located 0.16 m apart. At ...

    Text Solution

    |

  14. A spherical conductor of radius 0.12 m has a charge of 1.6xx10^(-7)C d...

    Text Solution

    |

  15. A parallel plate capacitor with only air between the plates has a capa...

    Text Solution

    |

  16. Three capacitors each of capacitance 9pF are connected in series. (a...

    Text Solution

    |

  17. Obtain the equivalent capacitance of the netwrok in the figure given b...

    Text Solution

    |

  18. A parallel plate capacitor is to be designed with a voltage rating 1kV...

    Text Solution

    |

  19. A molecule of a substance has a permanent electric moment of magnitude...

    Text Solution

    |

  20. The area of a parallel plate capacitor is 6xx10^(-3)m^(2). The distanc...

    Text Solution

    |