A sphere of radius R contains charge density rho(r )=A (R-r ) , for 0 lt r lt R . The total electric charge inside the sphere is Q. The electric field inside the sphere is
A sphere of radius R contains charge density rho(r )=A (R-r ) , for 0 lt r lt R . The total electric charge inside the sphere is Q. The value of A in terms of Q and R is
A sphere of radius R contains charge density rho(r )=A (R-r ) , for 0 lt r lt R . The total electric charge inside the sphere is Q. The electric outside the sphere is (k=1/(4pi in_(0)))
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
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.
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 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 :
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:
A thick shell with inner radius R and outer radius 3R has a uniform charge density rho.It has a spherical cavity of radius R as shown in figure.The electric field at the centre of the cavity is (n rho R)/(12 varepsilon_(0)) . Find n.
