A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10V. The potential at the centre of the sphere is:
Correct answer: A. 10V
- A. 10V
- B. Same as at point 5cm away from the surface
- C. 0V
- D. Same as at point 25cm away from the surface
Explanation
The correct answer is 10V. For a hollow metal sphere, the electric field inside the sphere is zero, leading to a constant potential throughout its interior. This constant potential is equal to the potential on its surface, which is 10V. Therefore, the potential at the center is also 10V. Options B and D are incorrect as they imply potential changes inside the sphere or at different distances outside, which is not the case inside a conductor. Option C is incorrect as the potential inside the sphere is not zero.
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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.
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