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
If a metal cube of side $5\, cm$ has a charge of $6$ microcoulombs, then the surface charge density is
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
Explain linear charge density, surface charge density and volume charge density for uniform charge distribution.
What are linear, surface and volume distribution of charge ?
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