Conductors in Electric Field

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 system consists of three concentric metal shells $A$, $B$ and $C$ with radii $a, 2a$ and $3a$ respectively. Shell $B$ is connected to earth and outermost shell is given a charge $Q$. Now if shell $C$ is connected to shell $A$, then the final charge on the shell $B$ is $\frac{-Qx}{11},$ then find the value of $x$.

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.

Three concentric metallic spherical shells of radii $R, 2 R, 3 R$ are given charges $Q_1,Q_2,Q_3,$ respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, $Q_1:Q_2:Q_3$, is:-

A charge $Q$ is distributed over two concentric hollow spheres of radii $\left(r\right)$ and $\left(R\right)>\left(r\right)$ such that the surface densities are equal. Find the potential at the common centre.

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

The internal and external pressures for a soap bubble are same. The surface tension of soap solution is $0.04 \mathrm{N}/\mathrm{m}$ and its diameter is $4 \mathrm{cm}$. Determine the charge on soap bubble.

Establish expression for maximum charged density for the equilibrium of a charged soap bubble in a vacuum.

Establish expressions for electric force and electrostatic pressure on the surface of a charged conductor?

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.

A solid conducting sphere of radius $a$ is placed inside a conducting shell of radius $b$ such that both are concentric. Now, the shell is given a charge $Q$. Find (i) the charge appearing on the inner sphere before earthing. (ii) the charge appearing on the inner sphere after it is earthed (iii) the electric field intensity inside the inner sphere before earthing (iv) the electric field intensity inside the inner sphere before earthing.

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 small sphere is charged to a potential of $50 V$ and a big hollow sphere is charged to potential of $100 V.$ Charge will flow from the smaller sphere to the bigger one when

Infinite conducting ring each having current $i$ in the direction shown are placed concentrically in the plane as shown in the figure. The radius of rings are $r, 2r, 2^{2}r, 2^{3}r\dots \dots \dots \infty$ . The magnetic field at the centre of ring will be

A ball of charge $+50e$ lies at the centre of a hollow spherical metal shell that has a net charge of $-150e$. The charge on the inner surface and outer surface of the spherical shell is: