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 uniform surface charge density ps located in the x-y plane in the region of ρ < a (on the surface of a circular disk with radius a, see Figure P5) at all point on the z-axis, i.e.. (0,0,z)
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 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?
A uniformly distributed annular disk of charge lies in the z=0 plane, centered at the origin and with inner and outer radii of a and b. Find the electric field intensity along the z-axis.
A charged disk and a charged ring are centered at the origin in the free space as shown in figure 4. Bothe changed elements exists in the xy plane. The disk has a radius a and carries a uniform surface charge density of Ps. The ring has a radius 2a and carries a uniform line charge density Pe. Find the following: a) The electric field intensity on z-axis and determine where the electric field is zero b) The electric potential...
A circular disk of radius 'a' is uniformly charged with ps C/m2. If the disk lies on the = 0 plane with its axis along the z-axis. Determine: (a) The electric field at (0, 0, -h) (b) From this, derive the electric field due to an infinite şheet of charge on the z = 0 plane at (0, 0, -h) (c) What will be the electric field at(0,0,-h) if a → 0
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.
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...
A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y axis (see figure below). Also centered on the y axis is a charged ring with the same radius as the disk and total charge Qring. The ring is a distance d above the disk. Determine the electric field at the point P on the y axis, where P is above the ring a distance y from the origin. (Use any...
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?
a circular ring of charge of radius 1 m lies in the x-y plane and is centered at the origin. Assume also that the ring is in air and carries a density 2rho C/m. A) find the electric potential V AT (0,0,Z) b) Find the corresponding electric field E. (Assume electric field @point have x,y direction because Rho(l) is not constant)