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

A solid sphere of radius R has a volume charge density rho=rho_(0) r^(2) (where rho_(0) is a constant ans r is the distance from centre). At a distance x from its centre (for x lt R ), the electric field is directly proportional to :

A sphere of radius R has a variable charge density rho(r)=rho_(0)r^(n-1)(rleR) . If ratio of "potential at centre" and "potential at surface" be 3//2 then find the value of n

A ball of radius R carries a positive charges whose volume density at a point is given as rho=rho_(0)(1-r//R) , Where rho_(0) is a constant and r is the distance of the point from the center. Assume the permittivies of the ball and the enviroment to be equal to unity. (a) Find the magnitude of the electric field strength as a function of hte distance r both inside and outside the ball. (b) Find the maximum intensity E_("max") and the corresponding distance r_(m) .

A ball of radius R carries a positive charges whose volume density at a point is given as rho=rho_(0)(1-r//R) , Where rho_(0) is a constant and r is the distance of the point from the center. Assume the permittivities of the ball and the enviroment to be equal to unity. (a) Find the magnitude of the electric field strength as a function of the distance r both inside and outside the ball. (b) Find the maximum intensity E_("max") and the corresponding distance r_(m) .

A solid sphere of radius R has a mass distributed in its volume of mass density rho=rho_(0) r, where rho_(0) is constant and r is distance from centre. Then moment of inertia about its diameter is

Consider a solid sphere oF radius R and mass density rho(r)=rho_(0)(1-(r^(2))/(R^(2))) 0 lt r le R . The minimum density oF a liquid in which it will Float is:

Consider a solid sphere oFIGURE radius R and mass density rho(r)=rho_(0)(1-(r^(2))/(R^(2))) 0 lt r le R . The minimum density oFIGURE a liquid in which it will FIGUREloat is:

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