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a cube of side b have charge q at each vertices. determine the potential and electric field due to this charge array at the center of cube.

a cube of side b have charge q at each vertices. determine the potential and electric field due to this charge array at the center of cube.

Grade:12

1 Answers

Vikas TU
14149 Points
3 years ago
Dear Student,
 There are 8 vertices in the cube then the 8 charges are available there.
           We all know that the diagonal of the square is √3b
          Distance between the center and the corner of the cube is √3b/2.
     Potential due to single charge = kq/r  = 2kq/√3b
Potential due to 8 charge = 16kq/√3b
Electric Field at the center due to the 8 charges get cancelled. This is because the charges are distributed symmetrically with respect to the centre of the  square. Hence electric field will be zero.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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