The capacitance of a spherical capacitor is given by:
Correct answer: B. 4πε (ab)/(b-a)
- A. 4πε(b-a)
- B. 4πε (ab)/(b-a)
- C. 4πεab
- D. 4πε/(b-a)
Explanation
The capacitance of a spherical capacitor is given by the formula 4πε (ab)/(b-a), where:a is the distance from the center to the inner surface.b is the distance from the center to the outer surface.ε is the permittivity of the medium between the spheres, approximately 8.855 × 10-12 C2/N.m2.This formula accounts for the geometry of the spherical capacitor. The incorrect options fail to capture the necessary relationship between the radii and the permittivity.
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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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