Question

A conducting sphere of radius 5. 0 cm carries a net charge of 7. 5 µc. what is the surface charge density on the sphere?

Answer 1

The surface charge density on the sphere is 0.014C/$m^{2}$.

Given,

r=5.00cm=0.05m, q=7. 5 µc

We know surface charge density σ =q/V=$\frac{7.5*10^{-6} }{\frac{4}{3}\pi 0.05^{3} }$=0.014C/$m^{2}$.

Surface charge density

It is always important to know how charge is moving in an electric field. These fields will also build up electric charges. Therefore, estimation of the surface charge density is essential for a number of applications. It is also necessary to calculate the surface charge density of an electric object using its volume and surface area. The amount of electric charge that has collected in a given field is measured by the surface charge density. Using the dimensions provided, it determines the amount of electric charge. Dimensions of the electric body could be in the form of length, area, or volume. In one, two, or three dimensions, according to electromagnetism, surface charge density is a measurement of the amount of electric charge present in a given volume of space.

A conducting sphere of radius 5. 0 cm carries a net charge of 7. 5 µc. what is the surface surface charge density on the sphere?

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