Two identical point charges of magnitude –q are fixed as shown in the figure below. A third charge +q is placed midway between the two charges at the point P. Suppose this charge +q is displaced a small distance from the point P in the directions indicated by the arrows, in which direction(s) will +q be stable with respect to the displacement?

The total electric flux for the following closed surface which is kept inside water

An electric field \(\vec { E } =10x\hat { i } \) 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 _____.

The relative permittivity of water is _______.

Write the general definition of electric dipole moment for a collection of point charge.

When we rotate the blades, it starts to rotate as usual. Why it is so?

What is the electric flux through a cube of side 1 cm which encloses on electric dipole?

Two small-sized identical equally charged spheres, each having mass 1 g are hanging in equilibrium as shown in the figure. The length of each string is 10 cm and the angle θ is 30° with the vertical. Calculate the magnitude of the charge in each sphere. (Take g = 10 ms⁻²)

Explain in detail how charges are distributed in a conductor, and the principle behind the lightning conductor.

Write the special features of Gauss law.

Four charges are arranged at the corners of the square PQRS of side an as shown in the figure.
(a) Find the work required to assemble these charges in the given configuration.
(b) Suppose a charge q is brought to the center of the square, by keeping the four charges fixed at the corners, how much extra work is required for this?

A polythene piece rubbed with wool is found to have a negative charge of 3 x 10^-7 C. Estimate the number of electrons transferred from which to which?