Charge is distributed within a sphere of radius R with a volume charge density `p(r)=(A)/(r^(2))e^(-2r//a),` where A and a are constants. If Q is the total charge of this charge distribution, the radius R is :
A solid sphere of radius R is charged with volume charge density p=Kr^(n) , where K and n are constants and r is the distance from its centre. If electric field inside the sphere at distance r is proportional to r^(4) ,then find the value of n.
A solid sphere of radius R has a charge Q distributed in its volume with a charge density rho=kr^a , where k and a are constants and r is the distance from its centre. If the electric field at r=(R)/(2) is 1/8 times that r=R , find the value of a.
A sphere of radius R_(0 carries a volume charge density proportional to the distance (x) from the origin, rho=alpha x where alpha is a positive constant.The total charge in the sphere of radius R_(0) is
Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by , rho(r)=kr , where r is the distance from the centre. Two charge A and B, of –Q each, are placed on diametrically opposite points, at equal distance, a from the centre. If A and B do not experience any force, then:
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 electric outside the sphere is (k=1/(4pi in_(0)))
A charge +Q , is uniformaly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r form the centre of the spehre where : (i) 0 lt r lt R and (ii) r gt R
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)
