Question

10
(D) IUNO VIDIO
12.a
A dipole having dipole moment p is placed in front of a solid uncharged conducting sphere as shown in
the diagram. The net potential at point A lying on the surface of the sphere is :
А
(A) kpcoso
(B) kpcos º
(C) zero
(D) 2kp coso
r2
Adanbora.​

Answer 1

Explanation:

Given A dipole having dipole moment p is placed in front of a solid uncharged conducting sphere as shown in  the diagram. The net potential at point A lying on the surface of the sphere is

• So we need to find the net potential.
• So we have Vp = Kp cos theta / r^2
• So there will be an induced charge. Also for a conductor, there will be no electric field inside the conductor.
• At the inside point electric field E = 0
• So Vo = Vp + V induced charge.
• The positive and negative charge will be equal and opposite in magnitude.
• So V induced =0 for any point inside the conducting sphere.
• So Vp = (Kp cos theta / R^2)
• So total potential Vo = Vp + 0
•                                    = kpcos theta / r^2
• Both dipole moment and vector r are aligned in one direction.
• So we have Vp + 0 = kp cos 0 / R^2
•                                    = kp (1) / R^2
• So Va = Vo = (kp / R^2)
•                                             Now cos φ = base / hypotenuse
•                                                                  = r / R
•                                          Or R = r / cos φ
• So  Va = Vo = Kp / r^2 cos^2 φ

Reference link will be

https://brainly.in/question/3741690