Question

A uniformly charged sphere of diameter 2.4 m has surface charge density of 80 pC/m². Determine the total electric flux leaving out the spherical surface along with the spherical charge.

Answer 1

(a) Surface charge density on the surface of uniformly charged sphere
σ = \(\frac{q}{A}=\frac{q}{4 \pi r^{2}}\)
q = 4πr²σ
= 4 × 3.14 × 1.2 × 1.2 × 80.0 × 10^-6 C
= 1447 × 10^-6 C
= 1.447 × 10^-3 C
= 1.45 × 10^-3 C = 1.45 mC

b) From Gauss’s law if we consider surface of sphere as Gausssian surface then total charge on sphere will be bound to sphere.
∴ Leaving out flux through surface