An electric dipole is placed on -axis in proximity to a line charge of linear charge density . Line charge is placed on -axis and positive and negative charge of dipole is at a distance of and from

Question

An electric dipole is placed on -axis in proximity to a line charge of linear charge density . Line charge is placed on -axis and positive and negative charge of dipole is at a distance of  and  from the origin respectively. If total force of  is exerted on the dipole, find out the amount of positive or negative charge of the dipole.

Canvas Classes · Accepted Answer

🧠 Net Force on a Dipole in a Non-Uniform Line-Charge Field

The line charge makes a field  that varies with distance, so the dipole feels a net force: the force on the near charge differs from that on the far charge. Write the net force as , set it to  N, and solve for .

🗺️ Working It Out

Line field: , pointing radially out.

Force on  (at  m): , outward. Force on  (at  m): , inward.

Net (outward): .

.

Set : .

⚡ The Smart Move

A dipole feels a NET force only in a non-uniform field. F

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