HSC Science Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Physics

An electric field `vec"E" = 10 xx hat"i"` exists in a certain region of space. Then the potential difference V = V_o – V_A, where V_o is the potential at the origin and V_A is the potential at x = 2 m is:

A thin conducting spherical shell of radius R has a charge Q which is uniformly distributed on its surface. The correct plot for electrostatic potential due to this spherical shell is

Two points A and B are maintained at a potential of 7 V and -4 V respectively. The work done in moving 50 electrons from A to B is ______.

Define electrostatic potential.

What is an equipotential surface?

What are the properties of an equipotential surface?

Give the relation between electric field and electric potential.

Define ‘electrostatic potential energy’.

What is meant by electrostatic energy density?

Derive an expression for electrostatic potential due to a point charge.

Derive an expression for electrostatic potential due to an electric dipole.

Obtain an expression for potential energy due to a collection of three point charges which are separated by finite distances.

Derive an expression for electrostatic potential energy of the dipole in a uniform electric field.

The total number of electrons in the human body is typically in the order of 10²⁸. Suppose, due to some reason, you and your friend lost 1% of this number of electrons. Calculate the electrostatic force between you and your friend separated at a distance of lm. Compare this with your weight. Assume the mass of each person is 60kg and use point charge approximation.

Five identical charges Q are placed equidistant on a semicircle as shown in the figure. Another point charge q is kept at the center of the circle of radius R. Calculate the electrostatic force experienced by the charge q.

Suppose a charge +q on Earth’s surface and another +q charge is placed on the surface of the Moon,

1. Calculate the value of q required to balance the gravitational attraction between Earth and Moon
2. Suppose the distance between the Moon and Earth is halved, would the charge q change?
   (Take m_E = 5.9 x 10²⁴ kg, m_M = 7.348 x 10²² kg)

Draw the free body diagram for the following charges as shown in the following figure.

Draw the free body diagram for the following charges as shown in the following figure.

Draw the free body diagram for the following charges as shown in the following figure.

The electrostatic potential is given as a function of x in figure (a) and (b). Calculate the corresponding electric fields in regions A, B, C and D. Plot the electric field as a function of x for figure (b).