Starting from Coulomb’s Law, calculate the electric field at a height of z = h below the center of a charged disk which lies in the x-y plane with radius a and surface charge density of σ.
Starting from Coulomb’s Law, calculate the electric field at a height of z = h below...
a). Find the electric field along the axis of a thin disk placed in the xy plane, at a distance z from the disk center (the field at distance z from center). It has a uniform charge of density σ and an outer radius R. b). Now consider a similar disk with annular shape, it is the disk in part (a) but with a concentric hole of radius R/2. Calculate the electric field along the z axis. c). Find electric...
Calculate the electric field E at P: (0, 0, 2) created by a disk carrying a uniform surface density of charge σ. The disk is in the x-y plane, centered at the origin. It has a circular hole in the middle, in which there is no charge. The disk's inner radius is a, and its outer radius is b. Express your result in terms of the disk's total charge q, and check that in the limit z b, E approximates...
1. Find the electric field (in vacuum) as a function of position z along the axis of a uniformly charged disk of outer radius R with a hole of radius Ri in its centre. The charge per unit area on the disk is σ. 2. A straight rod, with uniform charge λ per unit length, lies along the z axis from z=11 to z=12. (Thus, the length of the rod is 12-11.) Find the x and y components of the...
Problem 3 (25 points): Magnetic Field from Superposition. A circular disk of radius ro is uniformly coated with charge with a surface charge density of ps the disk lies in the x-y plane and the disk axis is the z-axis. This disk is spinning about the z-axis at a rate of one revolution every T seconds. The resulting surface current density on the disk is given by 2Tps a) What is the magnetic field intensity on the z-axis at a...
1. Find the electric field (in vacuum) as a function of position z along the axis of a uniformly charged disk of outer radius R with a hole of radius R in its centre. The charge per unit area on the disk is σ. 2, A straight rod, with uniform charge λ per unit length, lies along the z axis from z=11 to z=12-(Thus, the length of the rod is l2-11.) Find the x and y components of the electric...
A disk of radius R = 7.52 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge density σ = 3.11 × 10-6 C/m2. Evaluate the electric field produced by this disk along the x axis at point P = (1.55 m, 0.00 m). The Coulomb force constant k = 1/(4π ε0) = 8.99 × 109 N·m2/C2.
A disk of radius R = 9.54 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge density σ = 4.07 × 10-6 C/m2. Evaluate the electric field produced by this disk along the x axis at point P = (1.01 m, 0.00 m). The Coulomb force constant k = 1/(4π ε0) = 8.99 × 109 N·m2/C2.
The total electric field at a point on the axis of a uniformly charged disk, which has a radius R and a uniform charge density of σ, is given by the following expression, where x is the distance of the point from the disk. (R2 + x2)1/2 Consider a disk of radius R-3.18 cm having a uniformly distributed charge of +4.83 C. (a) Using the expression above, compute the electric field at a point on the axis and 3.12 mm...
An infinite horizontal plane of uniform negative charge sits at a height of z=0. For a point at a height of z= −3m (i.e., 3 meters below the infinite plane), the electric field has a magnitude of, 35.9 N/C. Calculate the surface charge density, σ, of the infinite plane of charge in units of C/m^2.
A uniformly charged disk with radius R = 25.0 cm and uniform charge density σ 7.60 x 10-3 C/m2 lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations? (a) z 5.00 cm MN/C (b) z 10.0 cm MN/C (c) z-50.0 cm MN/C (d) z 200 cm MN/C