A metal cube of side 5 cm is charged with $6 \mu \mathrm{C}$. The surface charge density on the cube

Question

A metal cube of side 5 cm is charged with $6 \mu \mathrm{C}$. The surface charge density on the cube is

Professor PC Thomas Classes · Answer

(d) : Given, charge $(q)=6 \mu C=6 	imes 10^{-6} C$ length of cube, $(l)=5 \mathrm{~cm}=0.05 \mathrm{~m}$ total surface area of cube, $ (s)=6 l^2=6 	imes 10.05^2=0.015 \mathrm{~m}^2 $ \ Surface charge density, $(\sigma)=\frac{	ext { Total charge }}{	ext { Total area }}$ $ =\frac{6 	imes 10^{-6}}{0.015}=0.4 	imes 10^{-3} \mathrm{~cm}^{-2} $