Answer :

Given, side of the cube = b units


Charge at each vertex = q C



In the cube shown above,


d = diagonal of any face = = b units


l = diagonal of whole cube = = √3 b units


Thus, the distance of centre of the cube from each vertices = = units


Electric potential at the centre of the cube, V =


( 8 charges)


Where,


q = charge


d = distance from origin=


ϵ0 = permittivity of space


V = N units C-1


As the charges as symmetrically placed along the vertex of the cube, the net Electric field will be zero at the centre as the field due to 2 charges placed opposite to each other will cancel, so for all charges, net field will be 0. 

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Two tiny spheres NCERT - Physics Part-I

A cube of side b NCERT - Physics Part-I

If one of the twoNCERT - Physics Part-I