Electrostatics Question 110
Question: A solid conducting sphere of radius $ {R _{\text{1}}} $ is surrounded by another concentric hollow conducting sphere of radius $ {R _{\text{2}}} $ . The capacitance of this assembly is proportional to [MP PET 2001; UPSEAT 2001]
Options:
A) $ \frac{R _{2}-R _{1}}{R _{1}R _{2}} $
B) $ \frac{R _{2}+R _{1}}{R _{1}R _{2}} $
C) $ \frac{R _{1}R _{2}}{R _{1}+R _{2}} $
D) $ \frac{R _{1}R _{2}}{R _{2}-R _{1}} $
Show Answer
Answer:
Correct Answer: D
Solution:
Capacitance of the given assembly $ C=4\pi {\varepsilon _{0}}( \frac{R _{1}R _{2}}{R _{2}-R _{1}} ) $
therefore $ C\propto \frac{R _{1}R _{2}}{(R _{2}-R _{1})} $
