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  • Derive an expression for the electric field intensity at a point on the equatorial line of an electric dipole of dipole moment  and l

Derive an expression for the electric field intensity at a point on the equatorial line of an electric dipole of dipole moment \overrightarrow{p} and length 2a. What is the direction of this field?

 

 

 

 
 
 
 
 

Answers (1)

Consider an electric dipole of length 2a. Let p be a point on the equatorial line at a distance r from the centre of dipole P.

The vertical components of the electric field get cancels and horizontal component gets added.

Net electric field

E = E_{x}= \frac{2Kq}{r^{2}+a^{2}}\cos \theta

E = E_{x}=\frac{2q}{4\pi \epsilon _{0}\left ( r^{2}+a^{2} \right )}\frac{a}{\sqrt{r^{2}+a^{2}}}

E =\frac{P}{4\pi \epsilon _{0}\left ( r^{2}+a^{2} \right )^{\frac{3}{2}}}

if r >>>a

E =\frac{P}{4\pi \epsilon _{0}r^{3}}

Posted by

Safeer PP

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