Question

A sphere of radius 100cm is charged to a potential of 6000volt . Find the surface charge density​

Answer 1

Answer:

According to electromagnetism, charge density is defined as a measure of electric charge per unit volume of the space in one, two or three dimensions. To be specific, the linear surface or volume charge density is the amount of electric charge per surface area or volume, respectively.

Surface charge describes the electric potential difference between the inner and outer surface of different states like solid and liquid, liquid and gas or gas and liquid. The surface charge density is present only in conducting surfaces and describes the whole amount of charge q per unit area A.

Hence, the Surface charge density formula is given by,

Explanation:

σ = q / A.

Where,

σ = surface charge density (C⋅m−2)

q = charge {Coulomb(C)}

A = surface area (m2)

Example 1

Calculate the surface charge density of a conductor whose charge is 5 C in an area of 10 m2

Solution:

Given:

Charge q = 5 C,

Area A = 10 m2

Surface charge density formula is given by,

σ = q / A

= 5 / 10

Therefore, σ = 0.5 C/m2