Question:

Consider a positively charged infinite cylinder with uniform volume charge density \(\rho>0\). An electric dipole consisting of +Q and -Q charges attached to opposite ends of a massless rod is oriented as shown in the figure. At the instant as shown in the figure, the dipole will experience,

Updated On: Jun 25, 2024
  • a force to the left and no torque
  • a force to the right and a clockwise torque
  • a force to the right and a counter-clockwise torque
  • no force but only a clockwise torque.
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The Correct Option is B

Approach Solution - 1

The correct answer is option (B): a force to the right and a clockwise torque
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Approach Solution -2

Consider a positively charged infinite cylinder with a uniform volume charge density ρ > 0.
An electric dipole consisting of +Q and -Q charges attached to opposite ends of a massless rod is oriented as shown in the figure
At the instant shown in the figure, the dipole will experience:
A force due to the electric field created by the charged cylinder.A torque that will try to align the dipole with the electric field.
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Concepts Used:

Electric Dipole

An electric dipole is a pair of equal and opposite point charges -q and q, separated by a distance of 2a. The direction from q to -q is said to be the direction in space.

p=q×2a

where,

p denotes the electric dipole moment, pointing from the negative charge to the positive charge.

Force Applied on Electric Dipole