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NCERT Class XII Chapter
Electric Charges and Fields
Questions With Solutions

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Question : 22
Total: 34
A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 μC m–2.
(a) Find the charge on the sphere.
(b) What is the total electric flux leaving the surface of the sphere?
Solution:  
R =
2.4m
2
 = 1.2 m , σ = 80.0 µ C m−2 = 80 × 10−6 C m−2
(a) As σ =
q
4πR2
So, q = 4πR2 × σ = 4 × 3.14 × (1.2)2 × 80 × 10−6 or q = 1.45 × 10−3 C
(b) ϕ =
q
ε0
 =
1.45×10−3
8.85×10−12
 = 1.64 × 108 N m2C−1
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