Q 1.20)
A point charge causes an electric flux of – 1.0×103 Nm2/C to pass through a spherical Gaussian surface of 10.0 cm radius centered 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?
Electric flux penetrating through a surface depends on the net charge enclosed inside the body. It does not depend on the size of the body. If the radius of the Gaussian surface is doubled, then the flux passing through the surface remains the same.
(b)
Electric flux is given by the relation
q = total charge contained enclosed by the spherical surface = ε0
q = – 1.0 x 103 x 8.854 x 10–12
q = – 8.854 x 10–9 C
q = – 8.854 nC
Therefore, the value of the point charge is – 8.854 nC.
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