suppose that earth has a surface charge density of 1 electron/metre2 Calculate earth potential and electric field just outside earth - Physics - Electrostatic Potential And Capacitance

Question

suppose that earth has a surface charge density of 1
electron/metre2 Calculate earth potential and electric field just
outside earth surface Radius of earth 6400 km

Ved Prakash Lakhera · Accepted Answer

According to Gauss's theorem of electric flux vector,     ∮E
ds=qε0We are given  σ=1e/m2, R=6
4×106mSo     4πR2=4×3
14×6 4×106×6 4×106=514
46×1012Therefore charge on the surface area of the earth is given by;          q=σ×4πR2=1 electronic charge×514
46×1012or          q=1
6×10-19×514 46×1012=823
136×10-7CTherefore        E=σε0=1
6×10-198 85×10-12=1
81×10-13N/CThe earth's potential V=14πε0×qR=9×109×823
136×10-76
4×106or              V=74
076 4×10-2=0 116Volt

suppose that earth has a surface charge density of 1 electron/metre2.Calculate earth potential and electric field just outside earth surface.Radius of earth 6400 km