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 has a charge density sigma . The electric intensity at a point at a distance r from its centre is
A sphere of radius R carries charge density p proportional to the square of the distance from the centre such that p = Cr^(2) , where C is a positive constant. At a distance R // 2 from the centre, the magnitude of the electric field is :
Charge density of a sphere of radius R is rho = rho_0/r where r is distance from centre of sphere.Total charge of sphere will be
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 :
Charge Q is distributed on two concentric spheres of radius r and R resp. if charge density of both spheres is same then electric potential at centre will be
A sphere of radius R carries charge such that its volume charge density is proportional to the square of the distance from the centre. What is the ratio of the magnitude of the electric field at a distance 2 R from the centre to the magnitude of the electric field at a distance of R//2 from the centre?
A solid sphere of radius R has total charge Q. The charge is distributed in spherically symmetric manner in the sphere. The charge density is zero at the centre and increases linearly with distance from the centre. (a) Find the charge density at distance r from the centre of the sphere. (b) Find the magnitude of electric field at a point ‘P’ inside the sphere at distance r_1 from the centre.
Let P(r)=(Q)/(piR^4)r be the charge density distribution for a solid sphere of radius R and total charge Q. For a point 'p' inside the sphere at distance r_1 from the centre of the sphere, the magnitude of electric field is:
