A thick insulating spherical shell of inner radius a=2.2R and outer radius b=7.8R has a uniform...
A thick insulating cylindrical shell of inner radius a=2.5R and outer radius b=6.4R has a uniform free charge density p. What is the magnitude of the electric field at r=3.9R? Express your answer using one decimal place in units of ρR/ε0 ?
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...
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.
A smooth spherical shell of electricity insulating material with outer radius a and inner radius a/2. Inside of this sphere, also with a radius of a/2, is a conducting solid sphere. The conducting sphere has an excess amount of charge q. The density of the insulating sphere is p. A) What must be the value of p so that the total charge of this setup is 0? B) Using the value of p from part (A), what are the magnitude...
An insulating spherical shell of inner radius a 0.100 m and outer radius b 0.200 m has a non uniform charge density given by ρ(r)-α/r, where α +7.00 x 10-10 C/m4 (a) What is the electric field at a distance of 0.050 m from the center of the spherical shell? (b) What is the electric field at a distance of 0.150 m from the center of the spherical shell? (c) If an electron is orbiting the spherical shell at a...
2c. A insulating cylindrical shell with length L and inner radius a, outer radius b, has uniform charge density p. Find the E, not near the ends, for three regions, ra, arb, r>b. * Note, a linear density A could also be given cross section 3c. An insulating shell has inner radius a and outer radius b and a uniform charge density p. Find E at all r (ra; arb; r> b)
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -2q and the outer shell has a total charge of +4 q. Specify magnitude and direction. (a) What is the electric field for b < r < d? (b) what is the electric field for r>d?
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...
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 small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...