A sphere of radius R is having ct arge Q uniformly distributed over it. The energy density of the electric field in the air, at a distance r (r > R) is given by (in J/m³):

A charge ‘Q’ is given to a conducting sphere of radius R. The total energy stored is Choose answer:

A solid sphere of radius R𝑅 has a charge Q𝑄 distributed in its volume with a charge density ρ𝜌 =kra=𝑘𝑟𝑎, where k𝑘 and a𝑎 are constants and r𝑟 is the distance from its centre. If the electric field at r=𝑟= R2𝑅2 is 1818 times that at r=R,𝑟=𝑅, the value of a𝑎 is

Charge Q is distributed uniformly throughout the vol- ume of an insulating sphere of radius R = 4.00 cm. At a distance of 1 r= 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude E 940 N/C. What are (a) the vol- ume charge density for the sphere and (b) the electric field at a distance of 2.00 cm from the sphere's center?

A solid sphere of radius R has electric charge density given by  𝜌 = a/r , where a is constant. Find the electric field within the charge distribution as a function of r. Note: The volume element dV for a spherical shell of radius r and thickness dr is equal to 4𝜋r2dr. (Use the following as necessary: a, r, and 𝜀0. Consider that a is positive.)

Charge – Q and 2Q are distributed uniformly on surface of two concentric spherical shells of radii ‘R’ and ‘2R’ respectively as shown in the figure. Select correct alternative(s) (A) the total electrostatic energy stored in the system is Q2 / 8πε0 R (B) electrostatic energy in the space between two shells is Q2 / 16πε0 R (C) electrostatic energy stored outside the system is Q2 / πε0 R (D) electrostatic energy in space between two shells is zer