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NCERT Class XII Chapter
Electric Charges and Fields
Questions With Solutions

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Question : 20
Total: 34
A point charge causes an electric flux of –1.0 × 103 N m2C–1 to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge.
(a) If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?
(b) What is the value of the point charge?
Solution:  
(a) On increasing the radius of the Gaussian surface, charge enclosed by it remains the same and hence the electric flux linked with Gaussian surface also remains the same.
(b) ϕ =
q
ε0
 or q = ϕε0
or q = - 1 or 103 × 8.85 × 10−12 or q = - 8.85 × 10−9 C = - 8.85 nC
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