Electrostatics Question 413
Question: There is a solid sphere of radius R having uniformly distributed charge. What is the relation between electric field e (inside the sphere) and radius of sphere R is [Pb. PMT 2000]
Options:
A) $ E\propto {{R}^{-2}} $
B) $ E\propto {{R}^{-1}} $
C) $ E\propto \frac{1}{R^{3}} $
D) $ E\propto R^{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ E=\frac{1}{4\pi {\varepsilon _{0}}}.\frac{Qr}{R^{3}} $
therefore $ E\propto \frac{1}{R^{3}} $
