Electrostatics Question 681
A solid conducting sphere of radius a has a net positive charge 2Q. A concentric spherical shell of inner radius b and outer radius c is concentric with the solid sphere and has a net charge -Q. The surface charge density on the inner and outer surfaces of the spherical shell will be
Options:
A) $ -\frac{2Q}{4\pi b^{2}},\frac{Q}{4\pi c^{2}} $
B) $ -\frac{Q}{4\pi b^{2}},\frac{Q}{4\pi c^{2}} $
C) $ 0,\frac{Q}{4\pi c^{2}} $
D) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
Surface charge density $ ( \sigma )=\frac{\text{Charge}}{\text{Surface area}} $ So $ \sigma _{inner}=\frac{-2Q}{4\pi a^{2}} $ And $ \sigma _{outer}=\frac{Q}{4\pi b^{2}} $
BETA
