2d 3. A conducting spherical shell of radius d carries a positive charge +Q which is...
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...
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 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...
#1 and #3 I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
An isolated thin spherical conducting shell of radius R has charge Q uniformly distributed on its surface. Write the results in terms of k, Q and R. (a) Find the electric field at a distance, r = 2R from the center of the sphere. (b) What is the electric field at the center of the conducting sphere? What is the electric field inside the conducting sphere? Please explain the steps and formuals. Mandatory !!!
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...
A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings (Fig. P22.44) (a) Derive expressions for the electric-field magnitude E in terms of the distance from the center for the regions r < a, a < r < b, and r > b. What is the surface charge density (b) on the inner...
A non-conducting thick spherical shell with inner radius a = 5 cm and outer radius b = 10 cm has a uniformly distributed volume charge density of p = 1.3 nC/m2. a) What is the total charge on the shell? Hint: think of the shell as a solid sphere with a volume in the center that's missing. b) Calculate the maximum electric field strength. c) Calculate the electric field at r = 2 cm. d) Calculate a symbolic equation for...
A charge Q is distributed uniformly on the surface of a spherical conducting shell of radius 10 cm. The magnitude of electric field on the surface is 106V/m. What is the magnitude of electric field 20 cm from the center of the shell? What is the surface charge density in Cm2 of the spherical shell in problem 4?
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?