An infinite slab of conductive material with thickness w sits perpendicular to the z-axis, centered...
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 of the permeability μ.
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An infinite slab of conductive material with thickness w sits perpendicular to the z-axis, centered...
An infinite horizontal slab of thickness 2w is perpendicular to the z-axis and centered on the...
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.
A nonconducting slab with volume charge density p has a finite thickness between z=-d and z=+d
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.
An infinite slab of charge of thickness 10m lies on the x-y plane between z = -5m and z=+5m
An infinite slab of charge of thickness 10m lies on the x-y
plane between z = -5m and z=+5m. The charge density, ρ, is 4 C/m3
and is a constant throughout the slab. (HINT: this is similar to
what we did in class to find the E-field for an “infinite sheet” of
charge… remember the cookie dough and the cookie cutter). a. Use Gauss's Law to find an expression for the Electric Field strength for any point inside the slab (-5m...
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-...
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 slab of insulating material has thickness 2d and is oriented so that its faces are...
A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x=d and x=?d. The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. Let the charge density of the slab be given by ?(x)=?0(x/d)2 where ?0 is a positive constant. Part B Using Gauss's law, find the magnitude of the electric field due to the...
Imagine a slab of current that is infinite in x and y but finite in z...
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.
An infinite slab of charge of thickness 2z0 lies in the xy-plane between z=?z0 and z=+z0....
An infinite slab of charge of thickness 2z0 lies in thexy-plane between z=?z0 andz=+z0. The volume charge density ?(C/m3) is a constant.1-Use Gauss's law to find an expression for the electric field strength inside the slab (?z0?z?z0).Express your answer in terms of the variables ?,z, z0, and constant ?0.2-Find an expression for the electric field strength above the slab (z?z0).Express your answer in terms of the variables ?,z, z0, and constant ?0.3-Draw a graph of E from z=0 toz=3z0.
An infinite solid cylinder conductor of radius a = 3cm centered on the z-axis carries a...
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...
4. Thick Current Sheet Current flows in a slab with thickness w that is parallel to...
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.
QUESTION 7 A slab of insulating material has thickness 2d, with d = 1.98 cm, and...
QUESTION 7 A slab of insulating material has thickness 2d, with d = 1.98 cm, and is oriented so that its faces are parallel to the yz-plane and given by the planes x = 1.98 cm and x = -1.98 cm. The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. The slab has a uniform positive charge density ρ = 1.65 μC/m3. Using Gauss’s law, find the magnitude of...
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,...
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...
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.
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