If the Earth,radius 6371 km,was treated as a metallic sphere,and was charged to a potential of 110 V,what excess electric charge would reside on its surface?

Question

Quizplus · Accepted Answer

The excess electric charge on the Earth's surface can be calculated using the formula Q = CV, where C is the capacitance of the sphere (Earth in this case) and V is the potential. The capacitance of a sphere is given by C = 4πε₀r, where ε₀ is the permittivity of free space (8.85 x 10^-12 F/m) and r is the radius of the sphere. Substituting the values (r = 6371 x 10^3 m, V = 110 V), we find the charge Q. The correct calculation leads to a charge of approximately 0.078 C.

If the Earth,radius 6371 Km,was Treated as a Metallic Sphere,and