Electric Field Inside The Sphere

Electric Field Indise The Sphere

Electric Field Outside The Sphere

Electric Field Outside The Sphere

STATEMENT -1 : Induced charge does not contribute to electric field or potential at a give point . STATEMENT -2 : A point cahrge q_0 is kept outside a solid metallic sphere , the electric field inside the sphere is zero.

[" A solid sphere of radius "R" is charged with "],[" volume charge density "rho=Kr^(n)," where "K" and "n],[" are constants and "r" is the distance from its "],[" centre.If electric field inside the sphere at "],[" distance "r" is proportional to "r^(4)," then find the "],[" value of "n.]

A solid sphere of radius R is charged with volume charge density p=Kr^(n) , where K and n are constants and r is the distance from its centre. If electric field inside the sphere at distance r is proportional to r^(4) ,then find the value of n.

A solid non conducting sphere of radius R has a non-uniform charge distribution of volume charge density, rho=rho_(0)r/R , where rho_(0) is a constant and r is the distance from the centre of the sphere. Show that : (i) the total charge on the sphere is Q=pirho_(0)R^(3) (ii) the electric field inside the sphere has a magnitude given by, E=(KQr^(2))/R^(4)

A charge Q is placed at the centre of an uncharged, hollow metallic sphere of radius of rasius alpha. (a) Find the surface charge density on the inner surface and on the outer surface. (b) If a charge q is pur on the sphege, what would be the surface charge dendities on the inner and the outer surface? (c) Find the electric field inside the sphere at a distance x from the centre in the situations (a) and (b).