(a) Electric flux, Φ = −1.0 × 103 N m2/C
Radius of the Gaussian surface, r = 10.0 cm
Electric flux piercing out through a surface depends on the net charge enclosed inside a 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 i.e., -103 N m2/C.
(b) Electric flux is given by the relation
Where,
εo = Permittivity of free space = 8.854 × 10−12 N−1C2 m−2
q = Net charge enclosed by the spherical surface =εoϕ
= −1.0 × 103 × 8.854 × 10−12
= −8.854 × 10−9 C
= −8.854 nC
Therefore, the value of the point charge is −8.854 nC.
