Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p . If p is a point at a distance r from the centre of the dipole and the line joining the centre of the dipole to this point makes an angle θ with the axis of the dipole, then the potential at P is given by $\large (r > > 2a)$ (Where p=2qa)

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$\large V = \frac{{p\cos \theta }}{{2\pi {\varepsilon _0}{r^2}}}$

$\large V = \frac{{p\cos \theta }}{{4\pi {\varepsilon _0}{r^2}}}$

$\large V = \frac{{p\sin \theta }}{{4\pi {\varepsilon _0}r}}$

$\large V = \frac{{p\cos \theta }}{{4\pi {\varepsilon _0}r}}$

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

For the given situation, diagram can be drawn as follows. As shown in figure component of dipole moment along the line OP will be . Hence electric potential at point P will be $\large p' = p\cos \theta$ .Hence electric potential at point P will be $\large V = \frac{1}{{4\pi {\varepsilon _0}}}.\frac{{p\cos \theta }}{{{r^2}}}$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th