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

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

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

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 -

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 non-conducting spherical ball of radius R contains a spherically symmetric charge with volume charge density rho=kr^(2) where r is the distance form the centre of the ball and n is a constant what should be n such that the electric field inside the ball is directly proportional to square of distance from the centre?

A ball of radius R carries a positive charge whose volume charge depends only on the distance r from the ball's centre as: rho=rho_(0)(1-(r)/(R)) Where r_(0) is a constant. Take epsilon to be permittivit of the ball. Calculate the maximum electric field intensity at a point (inside or outside the ball) due to such a charge distribution.

Within a spherical charge distribution of charge density rho(r) , N equipotential surface of potential V_(0), V_(0)+DeltaV, V_(0)+2DeltaV, … V_(0)+NDeltaV (DeltaV gt 0) , are drawn and have increasing radii r_(0), r_(1), r_(2), …. R_(N) , respectively. If the difference in the radii of the surface is constant for all values of V_(0) and DeltaV then :-

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.