Problem 4 A thick spherical shell carries a charge density p = k/r^2 in the region...
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
PROBLEM 2: A thick, spherical, insulating shell has an inner radius a and an outer radius b. The region a< r < b has a volume charge density given by p = A/r where A is a positive constant. At the center of the shell is a point charge of electric charge +q Determine the value of A such that the electric field magnitude, in the region a < r < b, is constant.
3 (2 poimts). A hollow spherical shell carriers charge density p kor in the region a s r s b. Find elestric field in the three regions ()r < a (i a << b (ii)r > b.
A spherical conductor is surrounded by a thick spherical conducting shell as shown in Figure 1; the bounding surfaces are concentric spheres of radii a, b, and c. Suppose that the inner conductor has charge Q, and the outer conductor has charge Q2. a) What are the electric fields in the (i) r>c, (ii) b<r<c, (iii) a<r<b, and (iv) r<a regions? [10 marks] b) Find the electric potentials (i) on the outer shell and (ii) on the inner conductor. [10...
10.4) Thick insulating shell A thick insulating spherical shell has inner radius a and outer radius b. The shell carries a uniform volume charge density po. [A cross-sectional view of the shell is shown to the right.] (a) Consider a spherical Gaussian surface of radius r concentric with the shell. How much charge is enclosed in the Gaussian surface for p <a, a <r <b, and r > b? (b) What does symmetry dictate about the magnitude and direction of...
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
PROBLEM-4 Consider a thick insulating spherical shell of uniform volume charge density with total charge Q=8uC, inner radius a=40mm, and outer radius b=80mm. a) Find the magnitude of electric field for r=8mm. (1pt) E=40 N/C Upload your answer. Choose File No file chosen b) Find the magnitude of electric field for r=55mm. (4pts) E= N/C Upload your answer. Choose File No file chosen c) Find the magnitude of electric field for r=120mm. (2pts) E= N/C Upload your answer. Choose File...
A spherical shell has an inner radius of a and an outer radius of b. The shell is made of a dielectric material and has a polarization P f. The shell is neutral and there is no free charge. Determine the electric field in the three regions: (i) r < a; (i) a <r< b; and (ii) r > b using two different methods. (a) Determine the bound charges in each region and use Gauss' law to determine the electric...
A spherical shell of inner radius a and outer radius b carries a polarization P = kr (rhat) (a < r < b). Calculate the bound charges sigma_b (inner and outer surfaces) and rho_b, and find the electric field E in all three regions.
A solid, insulating sphere of radius a has a uniform charge density of P and a total charge of Q. Concentric with this sphere is a conducting spherical shell with inner and outer radii are b and c, and having a net charge -3Q. (a) (5 pts.)Use Gauss's law to derive an expression for the electric field as a function of r in the regions r < a (b) (4 pts.) Use Gauss's law to derive an expression for the electric field...