study a uniformly charged conducting sphere of 1.2 m diameter has a surface charge density of 8.1 mc/m2. (a) find the net charge on the sphere. (b) what is the total electric flux leaving the surface of the sphere?



Answer :

The net charge on the sphere is 3.7×10⁻⁵C and the total electric flux leaving the surface of the sphere is 4.1×10⁶ N.m²/C.

What are electric flux and its measure?

The distribution of the electric field or the velocity at which the electric field moves through a specific area can both be measured as electric flux. The Greek letter is used to represent electrical flux. Voltmeters (Vm), often known as Nm 2 C – 1, is the SI unit for electric flux.

Procedure:

(a) The charge on the surface of the sphere is the product of the surface charge density σ and the surface area of the sphere which is 4πr².

Thus, q=4πr²σ

= 4π(1.2m/2)²(8.1×10⁻⁶)

=3.7×10⁻⁵C

(b) We select a spherical-shaped Gaussian surface with a slightly greater radius that is concentric with the conducting sphere.

∅=q/∈°

= 4.1×10⁶ N.m²/C

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