A cylinder of height L and radius L has a charge Q> 0 located in the center of the base. Find the electrical flow through:
a) the lateral surface of the cylinder
b) Cylinder top cover
c) the lower cylinder cover
A cylinder of height L and radius L has a charge Q> 0 located in the...
this is a laplace equation in cylinder coordinates: ) 1. (10 points) A solid cylinder of radius a and height h has its curved surface held at 0 °C and its top and base held at a temperature To. Find the steady-state temperature distribution in the cylinder. For your convenience, the PDE and the boundary conditions are given below: lu 1. (10 points) A solid cylinder of radius a and height h has its curved surface held at 0 °C...
A point charge q is located at the center of a spherical shell of radius a that has a charge -q uniformly distributed on its surface. Find the electric field for the following points: (a) for all points outside the spherical shell E = kq/r2 E = kq2/r2 E = q/4pr2 none of these E = 0 (b) for a point inside the shell a distance r from the center E = q/4pr2 E = kq2/r2 E = kq/r2 E...
A point charge q is located at the center of a spherical shell of radius a that has a charge −q uniformly distributed on its surface. Find the electric field for the following points: (a) for all points outside the spherical shell E = q/4πr2 E = 0 E = kq2/r2 E = kq/r2 none of these (b) for a point inside the shell a distance r from the center E = kq2/r2 E = kq/r2 E = q/4πr2 none...
Problem #2 If an infinite cylinder of charge with radius "a" located on the z axis has a c length of Q: (20) The Charge per unit conducting cylinder of radius "b" where b> a. length induced on the interior of a concentric perfectly (20) If the space between the two cylinders is filled with a dielectric with a dielectric constant ofєR what is the capacitance between the two? Problem #2 If an infinite cylinder of charge with radius "a"...
QUESTIONS 1. (30p)The cylindrical closed surface with radius R length L is placed into a nan uniform electrical filed (Ē = (3x2 + 2)2)) as shown in the figure.; a. (15p) Find the total electric flux passing through the closed surface.. b. (15p) Find the total electric charge inside the closed surface. L È R 2. (40p)A conductive spherical shell of inner radius 2R and outer radius 3R is caries a net charge -3Q. The total charge of an insulating...
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.
If an infinite cylinder of charge with radius "a" located on the z axis has a charge per unit length of Q Problem #3 80pts If the nearly infinitely long hollow concentric cylinders along the z axis of radius "a" and "b" described in problem 2 (a coaxial transmission line) have currents in the and z directions and have a cylindrically symmetric o directed H field of Ho at r=b find: (20) The current I required (20) The magnetic field...
2) A long plastic cylinder with a radius of R and length L has a uniform positive charge density. The total charge on the cylinder is Q. (a) Derive an approximate formula for the electric field as a function of r near the surface at location A. (b) Derive an approximate formula for the electric field as a function of r for locations inside the cylinder near the center such as location B.
A conducting sphere of radius a has a total charge Q on it. A charge q is brought at a distance d from the center of the sphere (d > a). Using the method of images: (a) Find the electric potential V (r, θ) in the region r > a. (b) Find the surface charge density on the surface of the sphere. (c) Find the force on the charge q.
A solid cylinder of height L and radius R has uniform mass density . Find the moment of inertia tensor about the center of the cylinder. For what value of L/R is the cylinder equally easy to spin about any axis?