Q.
Two spherical conductors $A$ and $B$ of radius $a$ and $b(b > a)$ are placed in air concentrically $B$ is given charge $+ \ Q\ coulomb$ and $A$ is grounded. The equivalent capacitance of these is
A) $4\pi\varepsilon_{0}\frac{ab}{b - a}$
B) $4\pi\varepsilon_{0}(a + b)$
C) $4\pi\varepsilon_{0}b$
D) $4\pi\varepsilon_{0}\frac{b^{2}}{b - a}$
Explanation
The correct answer is Option D: $4\pi\varepsilon_{0}\frac{b^{2}}{b - a}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.