A solid sphere of radius `R` has total charge `2Q` and volume charge density `p=kr` where `r` is distance from centre. Now charges `Q` and `-Q` are placed diametrically opposite at distance `2a` where a is distance form centre of sphere such that net force on charge `Q` is zero then relation between a and `R` is
A sphere of radius R has a charge density sigma . The electric intensity at a point at a distance r from its centre 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 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 sphere of radius R, is charged uniformly with total charge Q. Then correct statement for electric field is (r = distance from centre): -
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 solid conducting sphere of radius r is having a charge Q and point charges +q and -q are kept at distance d from the centre of sphere as shown in the figure. The electric potential at the centre of solid sphere (assume potential to be 0 at infinity)
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
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
A solid conducting sphere of radius r is having a charge of Q and point charge q is a distance d from the centre of sphere as shown. The electric potential at the centre of the solid sphere is :
