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Derive an expression for the torque acti...

Derive an expression for the torque acting on an electric dipole placed in a uniform electric field.

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To derive the expression for the torque acting on an electric dipole placed in a uniform electric field, follow these steps: ### Step 1: Understanding the Setup Consider an electric dipole consisting of charges \( +Q \) and \( -Q \) separated by a distance \( 2L \). Place this dipole in a uniform electric field \( \mathbf{E} \). ### Step 2: Forces on the Charges The force on the positive charge \( +Q \) due to the electric field \( \mathbf{E} \) is: \[ \mathbf{F}_+ = Q \mathbf{E} \] ...
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When is the torque acting on an electric dipole placed in a uniform electric field maximum?

a) Define an ideal electric dipole. Give an example. b) Derive an expression for the torque experienced by an electric dipole in a uniform electric field. What is net force acting on this dipole. c) An electric dipole of length 2cm is placed with its axis making an angle of 60^@ with respect to uniform electric field of 10^5N//C . If it experiences a torque of 8sqrt()3 Nm, calculate the (i) magnitude of charge on the dipole, and its potential energy

Knowledge Check

  • An electric dipole placed in a nonuniform electric field experience

    A
    a force but not torque
    B
    a torque but no force
    C
    a force as well as a torque
    D
    neither a force nor a torque

  • An electric dipole placed in a non-uniform electric field experiences

    A
    Only force but not torque
    B
    Only torque but not force
    C
    No torque and no net force
    D
    Both torque and net force

  • An electric dipole placed in a non uniform electric field may experience

    A
    only a force
    B
    only a torque
    C
    both force and torque
    D
    neither force nor torque

    • Similar Questions

    Explore conceptually related problems

    Derive the expression for the torque acting on an electric dipole, when it is held in a uniform electric field. Identify the orientation of the dipole in the electric field, in which it attains stable equilibrium.

    Find the expression of torque acting on an electric dipole placed in a uniform electric field . Using the above obtained expression of torque find the expression for potential energy of electric dipole kept in the uniform electric field . Assume potential energy of electric dipole to be zero when its axis is perpendicular to the externally applied electric field .

    (a) Derive an expression for the torque experienced by an electric dipole kept in a uniform electric field. (b) Calculate the work done to dissociate the system of three charges placed on the vertices of a triangle as shown. Here q= 1.6 xx 10^(-10)C .

    Derive an expression for potential energy of an electric dipole in a uniform electric field. In which situation, the potential energy fo dipole is (i) maximum and (ii) minimum.

    An electric dipole is placed in a uniform electric field. It may experience

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