Mix Test - 7...

Two charges, one of \(+5 \mu {C}\) and another of \(-5 \mu {C}\) are kept \(1 {~mm}\) apart. Calculate the dipole moment.

Which of the following material has the highest relative permittivity?

How many coulombs of charge do \(25 \times 10^{31}\) electrons possess?

A point charge \(+10 \mu {C}\) is at a distance of \(5 {~cm}\) directly above the centre of a square of side \(10 {~cm}\), as shown in Fig. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge \(10 {~cm}\) ).

In Fig. (i) two positive charges q₂ and q₃ fixed along the y-axis, exert a net electric force in the +x direction on a charge q₁ fixed along the x-axis. If a positive charge Q is added at (x, 0) in figure (ii), the force on q₁:

The capacitance of a spherical capacitor which consists of two concentric spherical shells of radii a and b (a < b) as shown in Fig. is given by:

A particle of mass m carrying charge \(+q_{1}\) is revolving around a fixed charge \(-q_{2}\) in a circular path of radius r. Calculate the period of revolution.

An electric dipole, when held at \(30^{\circ}\) with respect to a uniform electric field of \(10^{4} {~N} / {C}\) experiences a torque of \(9 \times 10^{-26} {Nm}\). Calculate the dipole moment of the dipole.

A dielectric slab of thickness \(1.0 {~cm}\) and dielectric constant 5 is placed between the plates of a parallel plate capacitor of plate area \(0.01 {~m}^{2}\) and separation \(2.0 {~cm}\). Calculate the change in capacity on introduction of dielectric.  

Calculate the Coulomb force between 2 alpha particles separated by \(3.2 \times 10^{-15} {~m}\).

Find the magnitude of the resultant force on a charge of \(1 \mu {C}\) held at \({P}\) due to two charges of \(+2 \times 10^{-8} {C}\) and \(-10^{-8} {C}\) at \({A}\) and \({B}\) respectively.

Given, \( {AP}=10 {~cm}\) 

And, \({BP}=5 {~cm}\) 

\(\angle {APB}=90^{\circ}\)

A copper sphere of mass \(2 {~g}\) contains nearly \(2 \times 10^{22}\) atoms. The charge on the nucleus of each atom is 29 e. What fraction of the electrons must be removed from the sphere to give it a charge of \(+2 \mu C\) ?

What happens to the capacitance of a parallel plate capacitor when the area of the plates, as well as the distance between them, is halved?

Find the capacitance of the infinite ladder between points X and Y in the following figure:

Determine the voltage (in V) of a battery connected to a parallel plate capacitor (filled with air) when the area of the plate is 10 square centimeters, the separation between the plates is 5 mm and the charge stored on the plates is 2 nC.

An infinite line charge produces a field of \(9 \times 10^{4} {~N} / {C}\) at distance of \(2 {~cm}\). Calculate the linear charge density.

The electrostatic force of repulsion between two positively charged ions carrying equal charge is \(3.7 \times 10^{-9} \mathrm{~N}\), when they are separated by a distance of \(5\)Å. How many electrons are missing from each ion?

What is the dimensional formula for \(\epsilon_{0}\)?

Find the amount of work done in rotating a dipole of dipole moment \(3 \times 10^{-3} {~cm}\) from its position of stable equilibrium to the position of unstable equilibrium, in a uniform electric field of intensity \(10^{4} {NC}^{-1}\).

Calculate the force between an alpha particle and a proton separated by \(5.12 \times 10^{-15} {~m}\).

The electric field at a point is:

Which among the following statement is correct regarding an ideal conductor in a static electric field?

A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 μC/m². What is the total electric flux leaving the surface of the sphere?

By what factor, the electric force between two electrons greater than the gravitational force between them?

An infinite line charge produces a field of \(9 \times 10^{4} {NC}^{-1}\) at a distance of \(2 {~cm}\). Calculate the linear charge density.

Find the electric charge \({Q}_{1}\) on plates of capacitor \({C}_{1}\), shown in Figure 3 below:

Which of the following is the correct expression for Gauss Law?

A circuit has a section \({AB}\) as shown in figure. The emf of the source equals \({E}=10 {~V}\), the capacitor capacitances are equal to \({C}_{1}=1.0 \mu {F}\) and \({C}_{2}=2.0 \mu {F}\) and the potential difference \({V}_{{A}}-{V}_{{B}}=5.0 {~V}\). Find the voltage across each capacitor.

The electrostatic force between charges of \(200 \mu {C}\) and \(500 \mu {C}\) placed in free space is \(5 {gf}\). Find the distance between the two charges. Take \(g=10 {~ms}^{-2}\).

How much work is done in moving a charge of 2 coulomb across two points having a potential difference of 5V?