Electrostatics of Conductors

Can electric field at some point be zero though electric potential is not zero? Give example.

You are travelling in a car, lighting is expected, what should you do about your safety?

The excess charge given to a conductor reside always on its outer surface? Why?

A charge $Q$ is a given to a conducting sphere of diameter $d$. What is the value of electric field inside the sphere?

A solid conducting sphere of radius $a$ is surrounded by a thin uncharged concentric conducting shell of radius $2a$. A point charge $q$ is placed at a distance $4a$ from common centre of conducting sphere and shell. The inner sphere is then grounded.

Pick up the correct statement.

If a conductor has a potential $V\ne 0$ and there are no charges anywhere else outside, then

A conduction sphere is negatively charged. Which of the following statements is true?

A spherical conducting ball is suspended by a grounded conducting thread. A positive point charge is moved near the ball. The ball will

The figure shows the charged hollow metal spheres (except $x$) each with an internal radius $a$ and external radius $b$. Match each charge distribution with the corresponding electric field versus radial distance $r$, or the $\left(E-r\right)$ graph.

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In any conductor-

(i) All the free electrons are on the surface

(ii) All the positive ions are at the surface

(iii) All the excess charge and the free electrons in the conductor is at the surface of conductor

(iv) All the excess charge and the positive ions are at the surface

The figure shows a charge $\mathrm{q}$ placed inside a cavity in an uncharged conductor. Now if an external electric field is switched on then :

The figure shows a charge $q$ placed inside a cavity in an uncharged conductor. Now, if an external electric field is switched on then

Two particles having positive charges $+Q$ and $+2Q$, are fixed at equal distance $x$ from the center of a conducting sphere having zero net charge and radius $r$ as shown. Initially, the switch $S$ is open. After the switch $S$ is closed, the net charge flowing out of the sphere is

The figure shows a charge $q$ placed inside a cavity in an uncharged conductor. Now, if an external electric field is switched on 

An uncharged sphere of metal is placed inside a charged parallel plate capacitor. The lines of force will look like, 

In a system used for spraying cars, a car body is positively charged. Neutral conducting droplets of paint are then attracted to the car because the positive car body induces charge on the droplets of paint. Which diagram best shows the charge pattern ?

Mark the correct statement :

An uncharged sphere of metal is placed inside a charged parallel plate capacitor. The lines of force will look like

A point charge $Q$ is placed at the centre of a spherical conducting shell, the shaded part of the figure. A total charge of $-q$ is placed on the shell. The magnitude of the electric field at point $P_1$ at a distance $R_1$ from the centre and the magnitude of the electric field at point $P_2$ a distance $R_2$ from the centre are respectively

A point charge $q$ is brought near to a neutral conducting hollow sphere of radius $R$. If $\text{'}d\text{'}$ is the distance between these two then