71. A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner radius b. The solid cylinder and the shell carry charges +Q and -Q, respectively. Assuming that the length L of both conductors is much greater than a or b, determine the electric field as a function of r, the distance from the common central axis of the cylinders, for (a) r < a; (b) a < r < b; and (c)r > b.

Two solid spheres, both of radius 5 cm. carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume, (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB= 0 (b) EA EB 0 (c) EA = EB 0 (d) 0EAEB (e) 0 = Ea EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? choose from the same possibilities as in part (i).

A long, straight metal rod has a radius of 5.00 cm and a charge per unit length of 30.0 nC/m. Find the electric field (a) 3.00 cm, (b) 10.0 cm. and (c) 100 cm from the axis of the rod, where distances are measured perpendicular to the rods axis.

A circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answers

A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and c as shown in Figure P19.75. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?

ne electric field at 2 cm from the center of long copper rod of radius 1 cm has a magnitude 3 N/C and directed outward from the axis of the rod. (a) How much charge per unit length exists on the rod? (b) What would be the electric flux through a cube of side 5 cm situated such that the rod passes through opposite sides of the cube perpendicularly?

A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.

A ring-shaped conductor with radius a = 3.00 cm has a total positive charge Q = 0.127 nC uniformly distributed around it.(Figure 1) 1. What is the magnitude of the electric field at point P, which is on the positive x-axis at x = 41.0 cm ? 2. What is the direction of the electric field at point P? What is the direction of the electric field at point P? +x-direction -x-direction 3. A particle with a charge of -2.40 μC is placed at the point P described in part A. What is the magnitude of the force exerted by the particle on the ring? 4. What is the direction of the force exerted by the particle on the ring? What is the direction of the force exerted by the particle on the ring? +x-direction -x-direction

y y 1. A non-conducting rod of length I with a uniform charge density A and a total charge Q is lying along the x -axis, as illustrated in the Figure. The electric field at a point P, located at a distance y off the axis of the rod is: ke (cos 02 – cos 01) j+ (sin 02 – sin 01 ) î] kie [(cos 02 – cos 61) î + (sin 62 – sin 61 ) ke[(cos 02 + cos 01) 3 – (sin 02 + sin 61) î] O ke - (cos 02 + cos 01) i + (sin 62 + sin 61) j]

The charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs 1.0 m; p(r)= Po(1-4r/3) For r> 1.0 m; p(r)= 0, where r is in meters. What is the value of r in meters for which the electric field is maximum? 0.25 0.50 0.75 1.00 2.00 Other: