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

• A. $P = \frac{Qb}{2}$
• B. $0 < P < \frac{Qb}{2}$
• C. $\frac{Q b}{2} < P < 2 Q b$
• D. $2 Q b$

Answer 1

Answer: (B)

$0 < P < \frac{Qb}{2}$

Answer 2

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