A thick slab extending from z=-a to z=+a carries a uniform volume current J=Jx (fig 5.41 attached). Find the magnetic field, as a function of z, both inside and outside the slab.

A uniform current density J =Jo *zhat fills a slab straddling the yz plane, from x=-a to x=+a. A magnetic dipole m= mo *xhat is situated at the origin.
a) Findthe force on the dipole, using F = ▽(m.B)
b) Do the same for a dipole pointing in the y direction m= mo *yhat

The square wire in below figure has a side of 10 cm and is in a magnetic field of strength 0.18 T. If themagnetic field decreases at a rate of 0.1 T/s, findthe reading of the voltage meter.
Also the field is coming out of page.

A sphere is centered at the origin with radius 3m. It has a total charge of 100 micro-Coulombs spread uniformly over its surface and is spinning with 3600 revolutions per minute.
1. What is the magnitude and direction of themagnetic field insidethe sphere?
a. B=0
2. Given themagnetic vector potential (see in attachment),

A planar slab of thickness of 4.00 cm has a uniform volume charge density of 1.20×10-2 C/ m3. Findthe magnitude of the electric field at all points in space bothinsideandoutsidethe slab, in terms of x, the distance measured from the central plane of theslab. What is the field for x = 1.00 cm? What is the field for x = 8.0

This solution derives the expression for themagnetic field insidethe spherical shell with magnetic permeability mu and with an inner and outer radius of a and b, respectively. This object is placed in a uniform and constant magnetic field Ha. As this is a steady-state problem, no currents exist andthemagnetic field H can be

A long conducting circular cylindrical tube (circular cylinder inner radius a outer radius b) carries a total axial current Io distributed through the conductor. Findand sketch a plot as a function of radius (show work).
A) The current density J(r)
B) Themagnetic field B(r)

A 40.0-mA current is carried by a uniformly wound air-core solenoid with 450 turns, a 15.0-mm diameter, and 12.0-cm length.
Compute (a) themagnetic field insidethe solenoid, (b) themagnetic flux through each turn, and (c) the inductance of the solenoid.
(d) What if the current were different? Which of these quantities wou

A square conducting slab with 10m sides carries a net charge of 10 micro Coulombs.
Use Gauss' law to find E insidethe slab and close to its surfaces, far from the edges of theslab.The slab is placed to the right of an infinite charged nonconducting plane with charge density of 2 X 10^-6 C/m^2 so that the faces of the sl