There are three concentric thin spheres of radius `a,b,c (agtbgtc)`. The total surface charge densities on their surfaces are `sigma,-sigma,sigma` respectively. The magnitude of the electric field at `r` (distance from centre) such that `agtrgtb` is:

Three concentric spherical metallic spheres A,B and C of radii a , b and c(a lt b lt c) have surface charge densities sigma , -sigma and sigma respectively.

Three concentric metallic spherical shells A,B and C of radii a,b and c(a lt blt c) have surface charge densities -sigma ,+sigma and -sigma respectively ,the potential of shell A is

Three concentric metallic spherical shell A,B and C or radiin a, b and C (a lt bgt C) have surface charge densities - singama, + sigma , and - aigba respectively . The potential of shell A is :

a)State Gauss’s law in electrostatics. Show that with help of suitable figure that outward flux due to a point charge Q, in vacuum within gaussian surface, is independent of its size and shape. b) In the figure there are three infinite long thin sheets having surface charge density +2sigma, -2sigma and +sigma respectively. Give the magnitude and direction of electric field at a point to the left of sheet of charge density +2sigma and to the right of sheet of charge density +sigma

Three non-conducting large parallel plates have surface charge densities sigma, -2 sigma and 4 sigma respectively as shown in the figure. The electric field at the point P is

Three concentric spherical metallic shells A, B and C of radii a, b and c (a lt b ltc) have surface charge densities sigma , -sigma and sigma respectively. (i) Find the potential of the three shells A, B and C. (ii) If the shells A and C are at the same potential, obtain the relation between the radii a, b and c.

Two concentric spherical shells of radii r and R(rltR) have surface charge densities -sigma and +sigma respectively. The variation ofelectric potential V with distance x from the centre O of the shells plotted. Which of the following graphs best depict the variation qualitatively?

Three concentric metallic shells A, B and C of radii a, b and c(a lt b lt c) have surface charge densities +sigma, -sigma and +sigma respectively as shown. Obtain the expressions for the potential of three shells A, B and C. If shells A and C are at the same potential, obtain the relation between a, b and c.