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
√ 3 b 2 = b √ 3
Distance of any of the vertices from the centre of cube,
=√
b
V = 8 ×
= 8 ×
or V =
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.
Distance of any of the vertices from the centre of cube,
=
V = 8 ×
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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