(a) Consider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q, radius R,...
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...
Problem 5. a. Consider a uniformly charged thin-walled right circular cylindrical shell having a total charge Q radius R, and height h. Determine the electric field at a point a distance d from the right side of he cylinder as shown in the figure. a solid cylinder with the same dimensions and carrying the same charge, uniformly ed throughout its volume. Find the electric field it creates at the same point dx
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...
A thin metallic spherical shell of radius 43.1 cm has a total charge of 5.65 μC uniformly distributed on it. At the center of the shell is placed a point charge of 1.73 μC. What is the electric field at a distance of 23.9 cm from the center of the spherical shell?
1.) Consider a spherical shell of radius R uniformly charged with a total charge of -Q. Starting at the surface of the shell going outwards, there is a uniform distribution of positive charge in a space such that the electric field at R+h vanishes, where R>>h. What is the positive charge density? Hint: We can use a binomial expansion approximation to find volume: (R + r)" = R" (1 + rR-')" ~R" (1 + nrR-1) or (R + r)" =R"...
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.
Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge in it’s volume. What is the magnitude and direction of the electric field at any point outside the cylinder . Describe each step as you go along .Find the electric field within the cylinder and outside of it. Describe each step as you go along. Consider the total charge Q on a line of length h with the use of Gauss’s law compute the...
For the next six problems, consider a uniformly charged disk of radius R. The total charge on the disk is Q. To find the electric potential and field at a point P (x>0) on the x-axis which is perpendicular to the disk with the origin at the center of the disk, it is necessary to consider the contribution from an infinitesimally thin ring of radius a and width da on the disk, as shown. What is the surface charge density...
A thin metallic spherical shell of radius 40.1 cm has a total charge of 7.65 ?C uniformly distributed on it. At the center of the shell is placed a point charge of 3.53 ?C. What is the electric field at a distance of 22.9 cm from the center of the spherical shell? outward, inward, directionless?