An infinite horizontal slab of thickness 2w is perpendicular to the z-axis and centered on the xy-plane. It carries a uniform current density J in the x-direction. There is a cylindrical hole in the slab with radius w centered on the x-axis. Find the B-field a distance z from the origin along the z-axis such that z<w. Answer in terms of µ.
An infinite horizontal slab of thickness 2w is perpendicular to the z-axis and centered on the...
An infinite slab of conductive material with thickness w sits perpendicular to the z-axis, centered on the xy-plane, carrying a uniform current density J in the Y direction. The current density is increasing in strength at a linear rate y Find the magnitude and direction (CW or CCW around the x-axis) of the current induced in a rectangular conductive ring of total resistance R that rests in the yz-plane outside the slab, if its area is A. Answer in terms...
Imagine a slab of current that is infinite in x and y but finite in z with a current density ?J. The slab has a thickness 2h (it runs from z = ?h to z = +h). Assuming the current is still in the x direction and is uniform in the x and y dimensions, but depends linearly on the height (J = J0|z|xˆ) inside the slab. Find the magnetic field everywhere in space, including inside the slab.
Consider a cross-section of an infinite insulating slab of charge, centered on the x-axis. The slab has width d and uniform volume charge density r. Find the E field inside the slab when x < d/2, and outside the slab when x > d/2.
An infinite solid cylinder conductor of radius a = 3cm centered
on the z-axis carries a current I1 = 1A. The current is evenly
distributed along the cross section and is directed out of the
screen (positive z-axis direction). An infinite coaxial conductive
surface of radius b = 8 cm carries a current I2 = 4A, towards the
inside of the screen (negative direction z).
What is the magnitude of the magnetic field B inside the inner
cylinder at a...
Example 5 reads: We consider an infinite slab of a conducting material with magnetic susceptibility xM carring a certain current distribution. The slab is parallel to the xy plane, between z--a andz-a. It carries a free volume current density J, (z) -(Joz/a)i which is plotted in Fig 9.12. Above the xy plane the current is out of the page, below it is into the page, and the integrated current density is 0. Outside the slab is vacuum. What are H,...
A nonconducting slab with volume charge density p has a finite thickness between z=-d and z=+d and is infinite in the plane perpendicular to the z-axis. Enter the correct expression of the electric field inside and outside the slab. Express your answers in terms of p, d, z, and ε0.
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...
Consider an infinite slab of thickness 2a and uniform volume charge density ρ. This is essentially an infinite plane with a non-negligible thickness. Since the planar symmetry involves:艹-2 reflection symmetry, as well as the translation symmetry along the and y direc- tions, we place the origin at a point on the midplane of the slab. In other words, the midplane corresponds to oo = 0 (i.e., the ry plane) and the surfaces of the slab are at a (a) Use...
4. Thick Current Sheet Current flows in a slab with thickness w that is parallel to the x – y plane and infinite in the x and y directions. The current density in the slab is J = J. Ê in the region –w/2<z 5 w/2. Use Amperes' law to find B above, below, and within the slab. Justify all steps in your derivation and provide a diagram.
A slab of insulating material (infinite in the y and z-directions) has a thickness d and a uniform positive charge density p. An edge view of the slab is shown in the figure below. (Submit a file with a maximum size of 1 MB.) (a) show that the magnitude of the electric field a distance x from its center and inside the slab is (b) Suppose an electron of charge -e and mass me can move freely within the slab. It...