Question 17: Units , Dimensions and Error Analysis

Question

Which of the following is not true for a perfect conductor?

Accepted Answer

The false statement is Option D.
HereÃ¢ÂÂs why the others are always true for a perfect (ideal) conductor in electrostatic equilibrium:
Electric field inside a conductor is zero.
$$\mathbf{E}_{	ext{inside}} = 0$$
The electric field just outside is perpendicular to the surface.
Any tangential component would drive surface charges to move until it vanishes.
The entire conductor (including its surface) is at a single constant potential, i.e. an equipotential.
However,
Charge distribution need not be uniform
unless the conductor is a sphere. In general, surface charge density ÃÂ varies with local curvature:
$$E_{\perp} = \frac{\sigma}{\varepsilon_0},$$
so sharp points (high curvature) carry higher charge density than flatter regions.

Answer

Electric field inside a conductor is zero

Answer

The electric field just outside a conductor is always perpendicular to the surface.

Answer

The surface of a conductor is an equipotential surface.

Answer

The charge carried by a conductor is always uniformly distributed over the surface of the conductor irrespective of the shape of the conductor.

Units , Dimensions and Error Analysis

Which of the following is not true for a perfect conductor?

Choose the correct answer: