A hollow cylinder of radius R and length l has a total charge Q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin. Obtain an expression for the electric potential as a function of z. Sketch a graph of the electric potential as a function of distance z, for -2l < z < 2l.
A hollow cylinder of radius R and length l has a total charge Q uniformly distributed...
A hollow cylinder of radius rand height hhas a total charge quniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and thecylinder is centered atthe origin.What is the electric potential V at the any point inside the cylinder?
Potential of a Finite RodA finite rod of length L has total charge q, distributed uniformly along its length. The rod lies on the x-axis and is centered at the origin. Thus one endpoint is located at (-L/2,0), and the other is located at (L/2,0). Define the electric potential to be zero at an infinite distance away from the rod. Throughout this problem, you may use the constant k in place of the expression .a) What is VA, the electric potential...
) A hollow soda straw of length L, radius R and charge Q is uniformly charged. What is the electric field at a distance r <R at L/2? What is the electric field at a distance r >R at L/2? Justify your answers for full credit.
A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. (Figure 1) Part B What is the magnitude of the electric field E on the z axis as a function of z, for z >0?
Need help in PART B. kindly write the solution as well. Thanks Potential of a Charged Cylinder Part A A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin, as shown in the figure. (Figure 1) What is the electric potential V at the origin? View Available Hint(s) Figure 1 of 1 >...
1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane. 2. Find the electric field due to a...
1) (a) A conducting sphere of radius R has total charge Q, which is distributed uniformly on its surface. Using Gauss's law, find the electric field at a point outside the sphere at a distance r from its center, i.e. with r > R, and also at a point inside the sphere, i.e. with r < R. (b) A charged rod with length L lies along the z-axis from x= 0 to x = L and has linear charge density λ(x)...
An infinite insulating hollow cylinder of radius ri and uniform charge per unit length, λ is oriented so that its long central axis is along the z-axis. A fixed point charge,-Q, is located at the position (x, y, z) = (2n, 0,0). Answer the following in terms of the constants given: (a) what is the magnitude of the total electric field at the location (x, y, z) = (3r1, 0,0)? (b) Assuming that the reference potential is set to be...
4) A very LONG hollow cylindrical conducting shell (in electrostatic equilibrium) has an inner radius R1 and an outer radius R2 with a total charge -5Q distributed uniformly on its surfaces. Asume the length of the hollow conducting cylinder is "L" and L>R1 and L>> R2 The inside of the hollow cylindrical conducting shell (r < R1) is filled with nonconducting gel with a total charge QGEL distributed as ρ-Po*r' ( where po through out the N'L.Rİ volume a) Find...
A disk of radius a has a total charge Q uniformly distributed over its surface. The disk has negligible thickness and lies in the xy plane. If the electric potential isV(z) =2kQ/a^2(√(a^2+z^2))-z what is the ELECTRIC FIELD?