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- Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2 , respectively. They are separated at center-to-center distance a (see below). Find the electric field at point P located at a distance r from the center of sphere 1 and is in the direction from the line joining the two spheres assuming their charge densities are not affected by the presence of the other sphere. (Hint: Work one sphere at a time and use the superposition principle.)A very long, thin wile has a uniform linear charge density of 50C/m . What is the electric field at a distance 2.0 cm from the wire?Repeat your calculations for the preceding problem, given that the charge is distributed uniformly over the surface of a spherical conductor of radius 10.0 cm.
- What is the force on the charge q at the lower-right-hand comer of the square shown here?Charge is distributed throughout a spherical shell of inner radius r1 and outer radius r2 with a volume density given by p=p0r1/r , where p0 is a constant. Determine the electric field due to this charge as a function of r, the distance from the center of the shell.The volume charge density of a spherical charge distribution is given by p(r)=p0ear , where p0 , and a are constants. What is the electric field produced by this charge distribution?
- The electric field strength outside a finite distribution of chargewhose volume charge density depends only on the radial distance fromthe center (i.e., ρ = ρ(r))An infinitely long cylindrical conductor has radius R and uniform surface charge density. In terms of R and, what is the charge per unit length for the cylinder?At a distance d from a charge, the magnitude of the electric field is E. What would be the magnitude of the electric field a distance 3d from the same charge?