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В — VхА. (5.61) 10 points. A thick wire with a uniform current. Consider an infinite...
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find...
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find the magnetic field, both inside and outside the wire, if the current is uniformly dis- tributed over the outside surface of the wire. (b) Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that the current density J is proportional to s2, where s is the distance from the axis. (c) Show that your answers to (a)...
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 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...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
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
i) A conducting wire of infinite length in free space carries a current I. Apply Ampère's...
i) A conducting wire of infinite length in free space carries a current I. Apply Ampère's Law to determine a formula for the magnetic field as a function of radial distance r from the wire.
Consider an infinitely long straight wire with current I. Let's take the direction of the wire...
Consider an infinitely long straight wire with current I. Let's take the direction of the wire as the z-axis. Current is flowing in the positive z-direction. We already know the magnetic field. Find a vector potential for the case. Use the Coulomb gauge. 6. 7. For the example 1 of Chapter 6 in the textbook, obtain the magnetic field outside of the sphere. of a polarized object was the same as that of a bound volume charge pV. plus a...
2. (3 pts) A solid cylindrical wire of radius R carries uniform current density. Use Ampere's...
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.
b inside a current carrying wire A steady current I flows through a wire of radius...
b inside a current carrying wire
A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
Derive the magnetic field B inside and outside of an infinite thick wire with radius a=1....
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...
Find the magnetic field (in cylindrical coordinates) both inside and outside of a very long cylindrical...
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?
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find the magnetic field, both inside and outside the wire, if the current is uniformly dis- tributed over the outside surface of the wire. (b) Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that the current density J is proportional to s2, where s is the distance from the axis. (c) Show that your answers to (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...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
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
Consider an infinitely long straight wire with current I. Let's take the direction of the wire as the z-axis. Current is flowing in the positive z-direction. We already know the magnetic field. Find a vector potential for the case. Use the Coulomb gauge. 6. 7. For the example 1 of Chapter 6 in the textbook, obtain the magnetic field outside of the sphere. of a polarized object was the same as that of a bound volume charge pV. plus a...
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.
b inside a current carrying wire
A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
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