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  4. 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

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Q. 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 ellipsePhysics Question Image

UPSEEUPSEE 2018

Solution:

As electric dipole moment $p$ is a pair of equal and opposite charges $+Q$ and $-Q$ separated by some distance, hence
image
For ellipse,
semi-major axis $(b) <\, $ semi-minor axis $(a)$, as $b <\, a$
Hence, magnitude of dipole moment $p$ will be
$0<\, p<\, \frac{Qb}{2}$