‘The interior of a conductor can have no excess charge in the static situation’. Explain.
‘The interior of a conductor can have no excess charge in the static situation’. Explain.
A neutral conductor has equal amounts of positive and negative charges in every small volume or surface element.
When the conductor is charged the excess charge can reside only on the surface in the static situation.
Let us consider a Gaussian surface inside the conductor and close to the surface.
At all points inside the conductor $\overrightarrow{\mathrm{E}}=0$ hence from $\phi_{\mathrm{E}}=\int \overrightarrow{\mathrm{E}} \cdot d \overrightarrow{\mathrm{S}}, \phi_{\mathrm{E}}=0$
According to Gauss's law,
$\phi_{\mathrm{E}}=\frac{q}{\epsilon_{0}}, \phi_{\mathrm{E}}=0$
$\therefore q=0$
Hence, there is no net charge at any point inside the conductor and any excess charge must reside at the surface.
Similar Questions
Conduction electrons are almost uniformly distributed within a conducting plate. When placed in an electrostatic field $\overrightarrow E $, the electric field within the plate
Conduction electrons are almost uniformly distributed within a conducting plate. When placed in an electrostatic field $\overrightarrow E $, the electric field within the plate
A charge $q$ is distributed uniformly on the surface of a sphere of radius $R$. It is covered by a concentric hollow conducting sphere of radius $2 R$. Charge on the outer suiface of the hollow sphere will be, if it is earthed
A charge $q$ is distributed uniformly on the surface of a sphere of radius $R$. It is covered by a concentric hollow conducting sphere of radius $2 R$. Charge on the outer suiface of the hollow sphere will be, if it is earthed
A conducting sphere of radius $r$ has a charge. Then
A conducting sphere of radius $r$ has a charge. Then
An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$
If a point charge $q_A$ is placed at the center of the shell, then choose the correct statement $(s)$
An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$
If a point charge $q_A$ is placed at the center of the shell, then choose the correct statement $(s)$
Two charged spherical conductors of radius $R_{1}$ and $\mathrm{R}_{2}$ are connected by a wire. Then the ratio of surface charge densities of the spheres $\left(\sigma_{1} / \sigma_{2}\right)$ is :
Two charged spherical conductors of radius $R_{1}$ and $\mathrm{R}_{2}$ are connected by a wire. Then the ratio of surface charge densities of the spheres $\left(\sigma_{1} / \sigma_{2}\right)$ is :
- [NEET 2021]