Question:

An ellipse has uniform linear positive charge density in upper half (total upper half part charge +Q) and uniform linear negative charge density in lower half (total lower half part charge -Q) as shown in figure. Here semi minor axis b < a semi major axis. Select the correct statement about the magnitude of electric dipole moment P of the ellipse

Updated On: Jun 20, 2022
  • $P = \frac{Qb}{2} $
  • $ 0 < P < \frac{Qb}{2} $
  • $ \frac{Q b}{2} < P < 2 Q b $
  • $2 Q b $
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The Correct Option is B

Solution and Explanation

As electric dipole moment $p$ is a pair of equal and opposite charges $+Q$ and $-Q$ separated by some distance, hence


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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