The work done in taking a unit positive charge from P to A is W_A and from P to B is W_B Than

The electric field in a region surrounding the origin and along the x-axis is uniform. A small circle is drawn with the center at the origin cutting the axes at points A, B, C, and D having coordinates (a, 0), (0, a), (-a, 0), and (0, -a), respectively, as shown in Fig. Then the potential is minimum at

In moving from A to B along an electric field line, the work done by the electric field on an electron is 6.4 × 10^-19J. If f₁ and f₂ are equipotential surfaces, then the potential difference V_C - V_A is

            At a point in space, the electric field points toward north. In the region surrounding this point, the rate of change of potential will be zero along

A spherical charged conductor has surface density of charge as $$\sigma$$  . The electric field intensity on its surface is E. If the radius of the surface is doubled, keeping s unchanged, what will be the electric field intensity on the new sphere?

As shown in Fig. , a dust particle with mass m = 5.0 × 10^-9 kg and charge q₀ = 2.0 nC starts from rest at point a and moves in a straight line to point b. What is its speed v at point b ?

A small sphere with mass 1.2 g hangs by a thread between two parallel vertical plates 5.00 cm apart. The plates are insulating and have uniform surface charge densities $$+\sigma$$   and $$-\sigma$$  . The charge on the sphere is q = 9 × 10^-6 C. What potential difference between the plates will cause the thread to assume an angle of 37° with the vertical as shown in Fig. ?

A particle of mass m carrying charge q is projected with velocity v from point P toward an infinite line of charge from a distance a. Its speed reduces to zero momentarily at point Q, which is at a distance a/2 from the line of charge. If another particle with mass m and charge -q is projected with the same velocity v from P toward the line of charge, what will be its speed at Q ?

A conducting sphere A of radius a, with charge Q, is placed concentrically inside a conducting shell B of radius b. B is earthed. C is the common center of A and B. Study the following statements

An electron having charge e and mass m starts from the lower plate of two metallic plates separated by a distance d. If the potential difference between the plates is V, the time taken by the electron to reach the upper plate is given by

The potential field depends on the x- and y-coordinates as V = x² - y². The corresponding electric field lines in xy plane are as

Figure shows three circular arcs, each of radius R and total charge as indicate(d) The net electric potential at the center of curvature is

Figure shows two equipotential lines in the xy plane for an electric field. The scales are marked. The x-component and y-component of the field in the space between these equipotential lines are, respectively

Charges -q, Q, and -q are placed at an equal distance on a straight line. If the total potential energy of the system of three charges is zero, then find the ratio Q/q