Question

A sphere of radius 0.05m carries a charge of 1C while another
sphere of radius 0.1m carries charge of 10uc. The ratio of the
surface charge density of the two spheres is

Answer 1

Answer:

Explanation:

DIY

Answer 2

Answer:

A sphere of radius 0.05m carries a charge of 1C while another  sphere of radius 0.1m carries a charge of 10C. The ratio of the  surface charge density of the two spheres is 33.3/83.3

Explanation:

• The surface charge density (σ) is the charge (q) in the unit area (A), that is,

        σ= $q/A$

• For a sphere of radius (r) the surface area is given by $A=4 \pi r^{2}$

From the question, we have

the total charge present in the first sphere $q_{1} =1C$

the radius of that sphere $r_{1} =0.05m$

the surface area of the first sphere $A=4* \pi* 0.05^{2}=0.03m^{2}$

the corresponding surface charge density is

σ= $\frac{1}{0.03} =33.3C/m^{2}$

the total charge present in the second sphere $q_{2} =10C$

the radius of that sphere $r_{1} =0.1m$

the surface area of the first sphere $A=4* \pi* 0.1^{2}=0.12m^{2}$

the corresponding surface charge density is

σ= $\frac{10}{0.12} =83.3C/m^{2}$

therefore the ratio of surface charge densities $33.3/83.3$