Electrostatics Question 745
Question: The surface density on the copper sphere is $ \sigma . $ The electric field strength on the surface of the sphere is
Options:
A) $ \sigma $
B) $ \sigma /2 $
C) $ \sigma / (2\varepsilon _{0}) $
D) $ Q/{\varepsilon _{0}} $
Show Answer
Answer:
Correct Answer: D
Solution:
According to Gauss’s theorem, $ E\int _{ds}=\frac{q}{{\in _{0}}}[ \text{Here}\int _{ds}=4\pi R^{2} ]} $
$ \therefore E=\frac{q/4\pi R^{2}}{\in _{0}}[ \therefore q/4\pi R^{2}=\sigma ] $ or $ E=\sigma /{\in _{0}} $
BETA
