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Electrostatic Potential and Capacitance

  1. Each corner of a cube of side l has a negative charge, –q. The electrostatic potential energy of a charge q at the centre of the cube is
    1. 4q²
      2πε0l
    2. 2
      4πε0l
    3. 4q²
      2πε0l
    4. -
      4q²
      3πε0l
Correct Option: D

​Length of body diagonal = ​√3l
∴ Distance of centre of cube from each corner ​

r =
3
l
2

​P.E. at centre ​
= 8 × Potential Energy due to A ​
= 8 ×
3
l
2

= 8 ×
1
× 2 × q × (-q) =
-4q²
4πε03l3πε0l



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