12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere’s law to determine the magnetic...
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
13) Ampere’s Law – Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length l = 1 m and has N = 15 loops with a current of 1 A passing through it. 13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length 1 = 1 m and has N = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by...
electromagnetic 13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length / = 1 m and has n = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by an Amperian loop passing through the center of the solenoid as shown in the figure below. 2000000000000000 (b) is the magnetic field perfectly uniform inside this real solenoid? Explain. (e) Is the magnetic field zero or...
2. (3 pts) A solid cylindrical wire of radius R carries uniform current density. Use Ampere's Law to calculate the magnetic field inside and outside the wire. Sketch your result as a function of distance r from the center.
(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.
В — VхА. (5.61) 10 points. A thick wire with a uniform current. Consider an infinite straight wire of radius R carrying current I uniformly distributed over its cross-section. (a) Find the magnetic field B(s) as a function of the distance s from the wire axis z, both inside s < R and outside s > R the wire. Indicate the direction of B and sketch its field lines (try to space the field lines appropriately) Hint: Use Ampère's law...
(d) Using the infinite solenoid approximation (B = 0 outside the solenoid) and Ampere's law, determine the (approximately) constant magnetic field inside the solenoid, where l is the length of the solenoid and lenc is the total current enclosed by the Amperian loop. The magnetic permeability of vacuum is Mo = 4t x 10-7 H/m. Make sure to include the appropriate units for your calculation. You can leave your answer in terms of at or use the approximation n =...
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
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).
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?