Question

two spheres have their radius in the ratio 1:2; compare the surface density of charge if the ratio of charge on them is 1:2

Answer 1

Answer:

Their ratio of their surface charge density is given by = 2

Step-by-step explanation:

Surface charge density = ( Total charge on the sphere)÷ ( surface area of the sphere)

The surface area of the sphere  = 4×π×r² , where r is the radius of the sphere.

Let the charges on two spheres be q and 2q respectively since their ratio are 1:2

The radius of the two spheres be r and 2r respectively since their radius are in the ratio of 1: 2

The surface charge density of first sphere = q÷(4×π×r²)

The surface charge density of second sphere = 2q÷ (4×π×4×r²)

Their ratio of their surface charge density is given by = 2