for part (b)
The electric field in calculated tacing in acount the charge it encloses. Therefore:
P1. Consider a symmetric hollow sphere (also called a spherical shel1), that has an outer radius...
A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb. There is charge +q on the inner sphere and charge −q on the outer spherical shell. Take V to be zero when r is infinite. Part H Suppose the charge on the outer sphere is not -q but a negative charge of different magnitude, say -Q. Find the electric field at any point between the spheres ( ra...
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 uniformly charged non-conducting sphere of radius a is placed at the center of a spherical conducting shell of inner radius b and outer radius c. A charge +Q is distributed uniformly throughout the inner sphere. The outer shell has charge -Q. Using Gauss' Law: a) Determine the electric field in the region r< a b) Determine the electric field in the region a < r < b c) Determine the electric field in the region r > c d)...
A hollow metal sphere has inner radius a and outer radius b. The hollow sphere has charge +2Q. A point charge +Q sits at the center of the hollow sphere. a. Determine the electric fields in the three regions r ≤ a, a < r < b, and r ≥ b. b. How much charge is on the inside surface of the hollow sphere? On the exterior surface?
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...
A hollow, uniformly charged sphere has an inner radius of r1=0.085 m and an outer radius of r2 = 0.34 m. The sphere has a net charge of Q = 2.7μC. What is the magnitude of the electric field, in newtons per coulomb, at a distance of r = 0.17 m from the center of the sphere?
Figure 27.33 shows a charge (+ q) on a uniform conducting hollow sphere of radius a and placed at the center of a conducting spherical shell of inner radius b and outer radius c. The outer spherical shell carries a charge (- q). What is the charge on the outer surface (c) of the shell. Use Gauss' law to find E(r) at positions: within the conducting spherical (r < a); between the sphere and the shell (a<r< b); inside the...
A hollow insulating sphere of inner radius "a" and outer radius "b" has a non-uniform charge per unit volume p that varies with distance r from the center of the sphere according to the expression p=Cr^2, where C is a given constant. a) what is the total charge Q contained in the hollow sphere b) what is the electric field at a point inside the sphere, a< r < b
A hollow, uniformly charged sphere has an inner radius of r1 = 0.12 m and an outer radius of r2 = 0.27 m. The sphere has a net charge of Q = 2.8 μC. What is the magnitude of the electric field, in newtons per coulomb, at a distance of r = 0.23 m from the center of the sphere?
Consider two concentric conducting spheres. The outer sphere is a hollow shell, with an outer radius of a1 = 11.0 cm and a thickness of 0.50 cm. It initially has a charge Q1= -11.0 nC deposited on it. The inner sphere is solid of radius a2 = 5.00 cm, and it has a charge Q2 = +3.00 nC on it. (a) How much charge is on the outer surface of the shell? (b) How much charge is on the inner...