An electric dipole is formed by two charges + q and - q located in x y -plane at ( 0 , 2 ) mm and ( 0 , − 2 ) mm , respectively, as shown in the figure. The electric potential at point P ( 100 , 100 ) mm due to the dipole is V 0 . The charges + q and – q are then moved to the points ( − 1 , 2 ) mm and ( 1 , − 2 ) mm , respectively. What is the value of electric potential at P due to the new di

Step-by-step solution

Electric potential at any general point for vertical dipole is written as, V 1 ∝ p 1 cos θ 1 r 1 2 . Electric potential at any general point for V 2 ∝ p 2 cos θ 2 r 2 2 . For first case: tan θ 1 = 100 100 = 1 ⇒ θ 1 = 45 ° For second case: slope in this is = - 2 - 2 1 - - 1 = - 2 which is equal to tan 45 ° + θ 2 = - 2 ⇒ 1 + tan θ 2 1 - tan θ 2 = - 2 ⇒ 1 + tan θ 2 = - 2 + 2 tan θ 2 ⇒ tan θ 2 = 3 cos θ 2 = 1 3 2 + 1 2