Electrostatics Question 692
Question: A uniformly charged conducting sphere of 4.4 m diameter has a surface charge density of $ 60\mu C{{m}^{-2}}. $ The charge on the sphere is
Options:
A) $ 7.3\times {{10}^{-3}}C $
B) $ 3.7\times {{10}^{-6}}C $
C) $ 7.3\times {{10}^{-6}}C $
D) $ 3.7\times {{10}^{-3}}C $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Here, $ D=2r=4.4m,or=f=2.2m $
$ \sigma =60\mu C{{m}^{-2}} $
Charge on the sphere,
$ q=\sigma \times 4\pi r^{2} $
$ =60\times {{10}^{-6}}\times 4\times \frac{22}{7}\times {{( 2.2 )}^{2}}=3.7\times {{10}^{-3}}C $
