Use Ampere’s Law to find the magnetic field of an infinitely large slab and current with current density J0 i hat. The slab is infinite in the x and y directions, but has a finite thickness t in the z direction. Do this for both (a) inside at the point p(0, 0,-t/4) and (b) outside at the point p(0,0,4t).
Use Ampere’s Law to find the magnetic field of an infinitely large slab and current with...
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.
12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere’s law to determine the magnetic field both inside and outside an infinite cylindrical wire of radius R and length l carrying a constant current I. Sketch the relevant Amperian loop each case. 12) Ampere's Law - Infinite Wire: (10 pts) (a) Use Ampere's law to determine the magnetic field both inside and outside an infinite cylindrical wire of radius R and length / carrying a constant current I. Sketch...
(2) Use Ampere’s Law to find the magnetic field (a) inside and (b) outside of a long straight cylinder of current with current density J and radius R. Remember that J = I/A. When indicating the direction, describe it as clockwise or counterclockwise when looking at the wire with the current going away from you.
12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere's law to determine the magnetic field both inside and outside an infinite cylindrical wire of radius R and length 1 carrying a constant current I. Sketch the relevant Amperian loop each case. 1 R R
4· [14 pts] Consider a thick slab of current. The slab is infinite in (both) x and y, but finite in z. The slab has a thickness of 2h, i.e. it runs from z =-h to z = +h). Let's assume that the current is flowing in the +a-direction, and is uniform in the x and y dimensions, but J depends on height linearly, ie. J = JolzX inside the slab (but is 0 above or below the slab). Find...
3. (a) Use Biot-Savart Law to find the magnetic field of wire, along the z-axis, carrying a current I (in direction), at a point P a distance r from the wire. Do this for both a finite wire (21 <2<z2), and an infinite wire (-0<z< too). (6) Use the result of part (a) to evaluate the net magnetic field of the wires shown at point P (0,0,2). [15] z P (0,0,2) 22 di 0 B (0,2,0) tec у P(x,y) A...
Find the magnetic field (in cylindrical coordinates) both inside and outside of a very long cylindrical wire of radius R on the z-axis. Inside the wire, current density is given by ? (?) = ?0 (1 − (3?)/(2?) ) ?̂ and Use Ampere’s Law in differential form by taking the curl of the answer above and solving for the current density. Do you get the same current density back again?
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.
write an explanation for each step as though you were teaching it to someone else. I got the answer but dont know how to explain. Explain step by step please O 3. Using Gauss's Law, calculate the electric field inside and outside an infinite slab )charge. The slab is infinite in the x and y directions and extends from -d/2 to +d/2 in the z-direction. The slab has a uniform charge density +p, however, write your answer r the electric...
Describe (including illustrations) how Ampere’s Law can be used to determine the magnetic field for: An infinite line of current. A solenoid A toroid