A hollow charged metal sphere has radius r. If the potential difference between its surface and a point at a distance 3r from the centre is V, then electric field intensity at distance 3r from the centre is:
Correct answer: C. V/6r
- A. V/3r
- B. V/4r
- C. V/6r
- D. V/2r
Explanation
For a hollow charged metal sphere, the electric field intensity outside the sphere is determined by the potential difference V and the radial distance from the center. The potential difference V between the sphere's surface and a point at distance 3r is calculated using the formula for electric field intensity E = V/d, where d = 3r. Therefore, the correct electric field intensity is E = V/6r. Option C correctly identifies this relationship. Options A, B, and D provide incorrect calculations either by misapplying the formula or using incorrect distances.
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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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