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 ?
A solid sphere of radius $R_1$ and volume charge density $\rho = \frac{{{\rho _0}}}{r}$ is enclosed by a hollow sphere of radius $R_2$ with negative surface charge density $\sigma $, such that the total charge in the system is zero. $\rho_0$ is a positive constant and $r$ is the distance from the centre of the sphere. The ratio $R_2/R_1$ is
Charge is distributed within a sphere of radius $R$ with a volume charge density $\rho (r) = \frac{A}{{{r^2}}}{e^{ - 2r/a}}$ where $A$ and $a$ are constants. If $Q$ is the total charge of this charge distribution, the radius $R$ is.
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