Problem 5. a. Consider a uniformly charged thin-walled right circular cylindrical shell having a total charge...
(a) Consider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q, radius R, and length l. Determine the electric field at a point a distance d from the right side of the cylinder as shown in Figure P23.46. Suggestion: Use the result of Example 23.8 and treat the cylinder as a collection of ring charges, (b) What If? Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume....
9. (a) Consider a uniformly charged, thin-walled, right circular s cylindrical shell having total charge Q. radius R, and length . Determine the electric field at a point a distance d from the right side of the cylinder as shown in Figure P23.9. Suggestion: Use the result of Example 23.2 and treat the cylinder as a col- lection of ring charges. (b) What If? Consider now a solid cyl- inder with the same dimensions and carrying the same charge, uniformly...
Consider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q, radius R, and length l. Determine the electric field at a point a distance d from the right side of the cylinder as shown in the figure. Show that you recover the same expression if the cylinder is treated as a collection of ring charges. Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume. Find the field...
Hello! I really need help on this. All work shown would be awesome so I can understand the concepts and please write legibly! Thank you:) (a) Consider a uniformly charged thin-walled right circular cylindrical shell having total charge Q, radius R, and length . Determine the electric field at a point a distance d from the right side of the cylinder as shown in the figure below. Suggestion: Use the following expression and treat the cylinder as a collection of...
I. (10) A solid cylinder with a charge per u thin cylindrical shell with a charge per unit length of 2 and a radius of R2. Use Gauss's law to derive the equation for the electric field in the region r < Ri. nit length of 1 and a radius of Ri is surrounded by a 1 |R2 I. (10) A solid cylinder with a charge per u thin cylindrical shell with a charge per unit length of 2 and...
Suppose that you have an infinitely long, uniformly charged cylindrical shell that has a charge per unit length (measured along the infinite direction) of λ. Use Gauss’s law to show a. that the electric field vanishes inside the shell b. that the electric field outside the cylindrical shell is exactly the same as it is for a line of charge with the same charge per unit length.
A long cylindrical shell (radius = 4cm ) has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C, how much charge is distributed on a 2.0-m length of the charged cylindrical surface?
Two long, charged, thin-walled, concentric cylindrical shells have radii of 4.3 and 7.0 cm. The charge per unit length is 4.8 × 10-6 C/m on the inner shell and -6.4 × 10-6 C/m on the outer shell. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 6.1 cm? What are (c) E and (d) the direction at r = 12 cm?
A thin-walled metal spherical shell of radius a = 4 m has a charge qa = 13 C. Concentric with it is a thin-walled metal spherical shell of radius b = 4a and charge qb = 30 C. Find the electric field at points a distance r from the common center, where (a) r = 1.2 m, (b) r = 8 m, and (c) r = 24.0 m
Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es = 4.5 x 103 N/C. What is the linear charge density of the shell?