Two sphere have their radius in the ratio 1:2 compare the surface density of charge if the ratio of charge on them 1:2
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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
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