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An electric dipole consists of charges +2eand -2eseparated by 0.78 nm. It is in an electric field of strength3.4106N/C. Calculate the magnitude of the torque on the dipole when the dipole moment is (a) parallel to, (b) perpendicular to, and (c) antiparallel to the electric field.

Short Answer

Expert verified
  • a)The magnitude of the torque on the dipole when the dipole moment is parallel to the electric field is 0.
  • b)The magnitude of the torque on the dipole when the dipole moment is perpendicular to the electric field is8.510-22N.m.
  • c) The magnitude of the torque on the dipole when the dipole moment is anti-parallel to the electric field is 0.

Step by step solution

01

The given data

  • a)Charges of values, +2e and-2e.
  • b) Separation between the charges, r =0.78 nm.
  • c) Magnitude of the electric field,E=3.4106N/C
02

Understanding the concept of torque

Using the concept of the torque acting on a dipole, the torque for the given cases is given by considering the given situations of the angle made by the dipole to the electric field.

Formula:

The magnitude of torque in terms of the magnitudes of the electric field E and the dipole moment p = qd is given by:

=pEsin

03

a) Calculation of the torque when dipole is parallel

From equation (i), we can see that the torque for=0 is given as:

=pEsin0=0.

Hence, the value of the torque is 0.

04

b) Calculation of the torque when dipole is perpendicular

From equation (i), we can see that the torque for=90is given as:

=pE=2.1610-19C0.7810-9m3.4106N/C=8.510-22N.m

Hence, the value of the torque is8.510-22N.m.

05

c) Calculation of the torque when dipole is anti-parallel

From equation (i), we can see that the torque for=180 is given as:

=pEsin180=0.

Hence, the value of the torque is 0.

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