A non-conducting solid sphere has volume charge density that varies as `rho=rho_(0)` r, where `rho_(0)` is a constant and r is distance from centre. Find out electric field intensities at following positions.
(i) `r lt R" "`(ii) `r ge R`

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

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 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 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 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 Uniformly charged solid non-conducting sphere of uniform volume charge density rho and radius R is having a concentric spherical cavity of radius r. Find out electric field intensity at following points, as shown in the figure : (i) Point A (ii) Point B (iii) Point C (iv) Centre of the sphere

A Uniformly charged solid non-conducting sphere of uniform volume charge density rho and radius R is having a concentric spherical cavity of radius r. Find out electric field intensity at following points, as shown in the figure : (i) Point A (ii) Point B (iii) Point C (iv) Centre of the sphere

A solid non conducting sphere of radius R and uniform volume charge density rho has its centre at origin. Find out electric field intensity in vector form at following positions : (i) (R//2, 0, 0)" " (ii) (R/sqrt(2), R/sqrt(2), 0)" " (iii) (R, R, 0)

A solid non conducting sphere of radius R and uniform volume charge density rho has its centre at origin. Find out electric field intensity in vector form at following positions : (i) (R//2, 0, 0)" " (ii) (R/sqrt(2), R/sqrt(2), 0)" " (iii) (R, R, 0)