3 (2 poimts). A hollow spherical shell carriers charge density p kor in the region a...
A hollow spherical shell carries charge density 8 in a region a <r<b. where k is a constant. Find the electric field in the three regions (i) r< a (ii a < r< b,iir >b. Use Gauss's Law For the problem above with the charge distribution Find the potential at the center using infinity as your reference point. V(b)-V(a) =-1,E.dl
Consider a spherical shell with radius R and surface charge density: The electric field is given by: if r<R E, 0 if r > R 0 (a) Find the energy stored in the field by: (b) Find the energy stored in the field by: Jall space And compare the result with part (a)
Problem 4 A thick spherical shell carries a charge density p = k/r^2 in the region a leq r leq b. Find the electric field in the three regions (i) r < a, (ii) a < r < b, and (iii) r > b. Note: the inner and outer regions are vacuum.
5. A thick, nonconducting spherical shell with a total charge of Q distributed uniformly has an inner radius R1 and an outer radius R2. Calculate the resulting electric field in the three regions r<RI, RL<r<R2, and r > R2
3. A solid spherical insulator with radius Ry is surrounded by a conducting spherical shell with inner radius R2 and outer radius R3 and with the same center point as the central sphere. The central sphere has charge density p yr3, where r is the distance from the common center of the sphere and shell. The conducting shell has charge Q. Find the magnitude of the electric field as a function of r in the following regions: R2 (a)r s...
P1. Consider a symmetric hollow sphere (also called a spherical shel1), that has an outer radius of b and an inner radius of a. Suppose also that there is a total charge of q uniformly distributed through this shell. (a) Compute the charge density p in terms of q, a, and b. (b) find a formula for the electric field created by this shell for all three ranges of distance from the center: r< a, a< r <b, andb<r.
G1. What is E for a spherical shell of charge p=0 for r < R1, p = po for R; <r < R2 and • P=0 for r > R2? R2 R1 Po What is the electric field for an infinitely long cylindrical pipe, inner radius Ry, outer radius R, and with p=Ar2 in the pipe wall between R, and R,? R2 R1 For problem G1 what is V in each region of space?
Consider a spherical shell with inner radius a and outer radius b. A charge density σ A cos(9) is glued over the outer surface of the shell, while the potential at the inner surface of the shell is V (8) Vo cos(0). Find electric potential inside the spherical shell, a<r<b.
A hollow insulating spherical shell of inner radius R0 and outer radius R1 is positively charged with a charge density of p(r) = p0(1 – (r/R1)3). A positive charge +Q is placed in the center of the hollow sphere and a concentric grounded conducting shell with inner radius R2 and outer radius R3 surrounds the hollow sphere. (The conducting shell was neutral before it is grounded.) (a) What is the total charge on the insulating sphere? (b) What charges are on the...
A perfectly conducting spherical shell has an inner radius a and an outer radius b as shown below. The region r< a is hollow. The entire shell has a net charge of Q IC] on it because it has been stuck by lightning. Determine the electric field vector in all three regions: r<a, a< r b, and r > b. Determine the surface charge densities po and po on the two metal surfaces. Explain how this problem illustrates the Faraday...