Question

two point charges each of magnitude Q are separated by the distance 2D what is the electric potential at point p midway bw them?​

Answer 1

Answer:

Given:

2 point charges each of magnitude Q are separated by 2D distance .

To find:

Electrostatic Potential at the midpoint between the separation.

Concept:

First of all , Electrostatic Potential is a scalar Quantity representing the strength of an electric field. Being a scalar Quantity , it only has magnitude and no Direction.

So Electrostatic potential can be algebraically added or subtracted when necessary.

Calculation:

Total Electrostatic Potential will be algebraic sum of Electrostatic potential of each charge at that midpoint.

$\therefore \: \: V_{total} = V1 + V2$

$= > V_{total} = \dfrac{1}{4\pi \epsilon_{0}} (\dfrac{Q}{D}) + \dfrac{1}{4\pi \epsilon_{0}} (\dfrac{Q}{D} )$

$= > V_{total} = \dfrac{1}{4\pi \epsilon_{0}} (\dfrac{2Q}{D})$

So final answer :

$\boxed{ \red{ \huge{ \bold{ V_{total} = \dfrac{1}{4\pi \epsilon_{0}} (\dfrac{2Q}{D}) }}}}$