A positively charged sphere of radius `r_(0)` carries a volume charge density `rho_(E)` (Figure). A spherical cavity of radius `r_(0)//2` is then scooped out and left empty, as shown. What is the direction and magnitude of the electric field at point B?

A positively charge sphere of radius r_0 carries a volume charge density rho . A spherical cavity of radius r_0//2 is then scooped out and left empty. C_1 is the center of the sphere and C_2 that of the cavity. What is the direction and magnitude of the electric field at point B?

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electic field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

An infinitely long solid cylinder of radius R with uniform volume charge density rho has a spherical cavity of radius (R)/(2) with its centre on the axis of the cylinder as shown in the figure. The magnitude of the electric field at a point P which is at a distance 2R from the axis of the cylinder is given by (23rhoR)/(6Kepsilon_(0)) . What is the value of K ?

A solid of radius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius R/2 is made in the sphere as shown in the figure. Find the electric potential at the centre of the sphere.

A solid sphere ofradius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius (R)/(2) is made in the sphere as shown in the figure. It is given that (rhoR^(2))/(in_(0)) = 48 V . Find the electric potential at the centre C of the sphere:

Inside a uniformly charged infinitely long cylinder of radius 'R' and volume charge density 'rho' there is a spherical cavity of radius 'R//2'. A point 'P' is located at a dsintance 2 R from the axis of the cylinder as shown. Then the electric field strength at the point 'P' is

A solid sphere having uniform charge density rho and radius R is shown in figure. A spherical cavity ofradius (R)/(2) is made in it. What is the potential at point O?

Consider a sphere of radius R which carries a uniform charge density rho . If a sphere of radius R/2 is carved out of it,as shown, the ratio (vecE_(A))/(vecE_(B)) of magnetic of electric field vecE_(a) and vecE_(B) , respectively, at points A and B due to the remaining portion is: