‘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
‘Inside a conductor electrostatic field is zero’. Explain.
‘Inside a conductor electrostatic field is zero’. Explain.
$(a)$ A conductor $A$ with a cavity as shown in Figure $(a)$ is given a charge $Q$. Show that the entire charge must appear on the outer surface of the conductor.
$(b)$ Another conductor $B$ with charge $q$ is inserted into the cavity keeping $B$ insulated from $A$. Show that the total charge on the outside surface of $A \text { is } Q+q$ [Figure $(b)$]
$(c)\;A$ sensitive instrument is to be shielded from the strong electrostatic fields in its environment. Suggest a possible way.
$(a)$ A conductor $A$ with a cavity as shown in Figure $(a)$ is given a charge $Q$. Show that the entire charge must appear on the outer surface of the conductor.
$(b)$ Another conductor $B$ with charge $q$ is inserted into the cavity keeping $B$ insulated from $A$. Show that the total charge on the outside surface of $A \text { is } Q+q$ [Figure $(b)$]
$(c)\;A$ sensitive instrument is to be shielded from the strong electrostatic fields in its environment. Suggest a possible way.
If a solid and a hollow conducting sphere have same radius then
If a solid and a hollow conducting sphere have same radius then
Assertion : A metallic shield in form of a hollow shell may be built to block an electric field.
Reason : In a hollow spherical shield, the electric field inside it is zero at every point.
Assertion : A metallic shield in form of a hollow shell may be built to block an electric field.
Reason : In a hollow spherical shield, the electric field inside it is zero at every point.
- [AIIMS 2001]
‘At the surface of a charged conductor electrostatic field must be normal to the surface at every point’. Explain.
‘At the surface of a charged conductor electrostatic field must be normal to the surface at every point’. Explain.