Two spherical raindrops of radii 1 mm and 2 mm come in contact with a lighting conductor at a potential of 500 volts and coalesce. Find the potnetial of the resulting drop and the electrical energy they acquired form the dconductor and gained or lost subsquently due to coalescence after getting detached from the conductor.

A potential difference is applied between the ends of a conductor of uniform radius 1.5 mm. It results in an electric field of strength 250 V/m along the length of conductor. Find the resistivity of the material if current in the conductor is 2A.

Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is

Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is

Three concentric spherical conductors of radii a, 2a, and 3a have charges -Q, +2Q , and -4Q , respectively. If r is the distance of the point under consideration from the center of the spheres, then find the electric field and potential due to the given configuration, for the values (i) r lt a (ii) a lt r lt 2a (iii) 2 a lt r lt 3 a r gt 3 a . .