Consider a spherical symmetric charge distribution with charge density varying as `rho={[rho_(0)(1-(r)/(R)),r<=R] [0,,r>R]}`The electric field at `r` ,`r le R` will be

[" Consider a spherical symmetric "],[" charge distribution with charge "],[" density varying as "],[[rho={[rho_(0)(1-(r)/(R)),r R]]

Let there be a spherically symmetric charge distribution with charge density varying as rho(r)=rho(5/4-r/R) upto r=R , and rho(r)=0 for rgtR , where r is the distance from the origin. The electric field at a distance r(rltR) from the origin is given by

A solid ball of radius R has a charge density rho given by rho = rho_(0)(1-(r )/(R )) for 0le r le R The electric field outside the ball is :

Consider a sphere of radius R with charge density distributed as rho (R) = kr for r le R and = 0 for r gt R . (a) Find the electric field at all points r. (b) suppose the total charge on the sphere is 2e, where e is the electron charge. Where can two protons be embedded such that the force on each of them is zero. Assume that the introduction of the proton does not alter the negative charge distribution.

Let there be a spherical symmetric charge density varying as p(r )=p_(0)(r )/(R ) upto r = R and rho(r )=0 for r gt R , where r is the distance from the origin. The electric field at on a distance r(r lt R) from the origin is given by -

For spherical charge distribution gives as . {{:(,rho = rho_(0)(1-(r)/(3)),"when" r le 3m),(,rho = 0 ,"when" r gt 3m):} ( where x is the distance form the centre of spherical charge distribution) The electric field intensity is maximum for the value of r=_______m.

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 spherical shell of radius R has a uniformly distributed charge ,then electric field varies as