(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.
(2) Use Ampere’s Law to find the magnetic field (a) inside and (b) outside of a...
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...
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?
Use Ampere’s Law to find an expression for the magnetic field B produced by a a long straight wire carrying current i at all points that are a perpendicular distance r from the wire
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
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).
3. Starting with Ampere's law, find the magnetic field at r from the axis, inside and outside of a circular toroid, figure below, of major radius R and minor radius a, wrapped with N turns of wire carrying current I. Evaluate for r=R=5cm, a=2cm,N=1000,1=3A
Using Ampere’s Law, find the magnitude of the magnetic field at a point exterior to a coaxial cable, a distance of 24 mm from the central axis. The coaxial cable consists of a wire with radius r1=1.3 mm and surrounding that, a cylindrical shell with inner radius r2=2.5 mm and outer radius r3=3.3 mm. The wire and cylindrical shell carry equal currents (4.0 A) in opposite directions. Side questions: 1. does the outer radius matter? 2. what would you do...
Derive the magnetic field B inside and outside of an infinite thick wire with radius a=1. The wire carries a uniformly distributed current I=1A in the direction outwards the page. Plot the magnetic flux density in the region -2<x<+2 and -2<y<+2 that is internal to the wire and external to the wire. The expected result should look like Fig.1 Fig.1 C:\Users\marcop\Documents\_Education_Teaching\PHYS325\FundamentalsElectromagneticsWithMatlab_course\Student Resources\Examples\JPEGs\example 03-04.jpg using matlab writeThe code typed The plots produced by the code The derivation or calculations...
5. Use Ampére's law to determine the magnetic field strength... a. a distance r away from an infinitely long current carrying wire b. anywhere on either side of an infinite, flat sheet with a surface current density σ c. inside a solenoid with n turns per unit length
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