Electrostatics Question 483
Question: If an insulated non-conducting sphere of radius R has charge density $ \rho $ . The electric field at a distance $ r $ from the centre of sphere $ (r<R) $ will be [BHU 2003]
Options:
A) $ \frac{\rho R}{3{\varepsilon _{0}}} $
B) $ \frac{\rho r}{{\varepsilon _{0}}} $
C) $ \frac{\rho r}{3{\varepsilon _{0}}} $
D) $ \frac{3\rho R}{{\varepsilon _{0}}} $
Show Answer
Answer:
Correct Answer: C
Solution:
For non-conducting sphere $ E _{in}=\frac{k.Qr}{R^{3}}=\frac{\rho r}{3{\varepsilon _{0}}} $