NCERT Class XII Chapter
Electrostatic Potential and Capacitance
Questions With Solutions

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Question : 13
Total: 37
A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.
Solution:  
The length of diagonal of the cube of each side b is
3b2 = b3
Distance of any of the vertices from the centre of cube,
=
3
2
b
V = 8 ×
1
4πε0
q
r
= 8 ×
1
4πε0
q
3
b
2
or V =
4q
3πε0b

E = 0, as electric field at centre due to a charge at any corner of cube is just equal and opposite to that of another charge at diagonally opposite corner of cube.
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