[" A solid insulating sphere of "],[" radius R has a non-uniform "],[" charge density that varies "],[" with "r" according to the "],[" expression "rho=Ar^(2)" .Where "A],[" is a constant and "rR)" the sphere is "],[E=AR^(5)/K varepsilon_(0)r^(2)" .The value "],[" of "K" is: "]

A solid insulating sphere of radius R has a nonuniform charge density that varies with r according to the expression rho = Ar^2 , where A is a constant and rltR is measured from the centre of the sphere. Show that (a) the magnitude of the electric field outside (rgtR) the sphere is E = AR^5//5epsilon_0r^2 and (b) the magnitude of the electric field inside (rltR) the sphere is E = AR^3//5epsilon_0 .

A sphere of radius 2R has a uniform charge density p. The difference in the electric potential at r = R and r = 0 from the centre is:

[" A charge "Q" is distributed "],[" uniformly on a ring of radius "],[" r.A sphere of equal radius "r],[" is constructed with its centre "],[" at the periphery of the ring."],[" The flux of the electric field "],[" through the surface of the "],[" sphere is "(Q)/(n varepsilon_(0))" .The value of "n],[" is : "]

A sphere of radius R_(0 carries a volume charge density proportional to the distance (x) from the origin, rho=alpha x where alpha is a positive constant.The total charge in the sphere of radius R_(0) is

There is a solid non-conducting sphere of radius R. Sphere is uniformly charged over the volume. Electric field due to this where in observed.

A solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure.Find the value of |E_A /E_B|

An insulated sphere of radius r haas a uniform volume charge density lambda . The electric field at a point A , which is at distance r from its centre is given by (R gt r)

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 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.]