In the absence of other conductors, the surface charge density
Is proportional to the charge on the conductor and its surface area
Inversely proportional to the charge and directly proportional to the surface area
Directly proportional to the charge and inversely proportional to the surface area
Inversely proportional to the charge and the surface area
Give definitions of linear surface and volume charge densities and write their $SI$ units.
If volume charge density is $\rho $, then what will be the charge on $\Delta V$ volume ?
Three concentric metallic spherical shells of radii $R, 2 R, 3 R$, are given charges $Q_1, Q_2, Q_3$, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, $Q_1: Q_2: Q_3$, is
Two isolated metallic spheres of radii $2 \,cm$ and $4 \,cm$ are given equal charge, then the ratio of charge density on the surfaces of the spheres will be
A semicircular ring of radius $'a'$ has charge density $\lambda = {\lambda _0}\,\cos \,\theta $ where ${\lambda _0}$ is constant and $'\theta'$ is shown in figure. Then total charge on the ring is