Electrostatics of Conductors

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

There are three concentric conducting spherical shells. All of them are charged $Q_1=20 \mathrm{C}$, $Q_2=40 \mathrm{C}, Q_3=60 \mathrm{C}$ and radius $R, 2R, 3R$. The innermost sphere is earthed then find the magnitude of charge transfer from the Earth.

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.

Which level of management typically involves managers who are responsible for specific departments or units within the organization?

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

Assertion: When a charged body is brought near a neutral conducting body, the induced charge that appears on the nearer surface of the conducting body is always equal and opposite to the charge that has been brought near to it.

Reason: Net electric field inside the conductor is zero. 

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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Two insulated charged spheres of radii $R_1$ and $R_2$ having charges $Q_1$ and $Q_2$ respectively are connected to each other; then there is -

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