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2. (3 pts) A solid cylindrical wire of radius R carries uniform current density. Use Ampere's...
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...
A cylindrical non-magnetic wire, radius R, carries a uniform steady current I. Find H inside and...
A cylindrical non-magnetic wire, radius R, carries a uniform steady current I. Find H inside and outside the wire. If the current is 30 kA, what is the field in T at a distance of 1 m?
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
A long, cylindrical wire of radius R has a current density J(r) = Jo(1 – r2/R2)...
A long, cylindrical wire of radius R has a current density J(r) = Jo(1 – r2/R2) for distances where r < R and J(r) = 0 for r < R where r is the distance from the center of the wire’s axis. Find the magnetic field strength inside (r < R) and outside (r > R) the wire. Sketch the magnetic field strength as a function of distance r from r = 0 to r = 2R. Find the location...
[3] A wire of radius a carries a uniform current density given by which is directed...
[3] A wire of radius a carries a uniform current density given by which is directed out of the page as shown. The wire carries a total current I. (a) Which direction does the magnetic field circulate around the wire? (circle the correct answer below). (b) Calculate the magnitude of the current density in terms of I and a (c) Showing complete details, including sketches as necessary, calculate the vector magnetic field inside the wire in terms of I, 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...
The current density inside a long, solid, cylindrical wire of radius a = 4.0 mm is...
The current density inside a long, solid, cylindrical wire of
radius a = 4.0 mm is in the direction of the central axis and its
magnitude varies linearly with radial distance r from the axis
according to J = J0r/a, where J0 = 390 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c)
r=4.0 mm from the center.
Chapter 29, Problem 047 The current density inside a lon ,...
The current density inside a long, solid, cylindrical wire of radius a = 2.6 mm is...
The current density inside a long, solid, cylindrical wire of radius a = 2.6 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 410 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 1.3 mm and (c) r=2.6 mm from the center. Please explain your steps/solution.
The current density inside a long, solid, cylindrical wire of radius a = 4.8 mm is...
The current density inside a long, solid, cylindrical wire of radius a = 4.8 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 330 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 3.2 mm and (c) r=4.8 mm from the center.
7. (4+6=10 pts) State Biot-Savart law and Ampere's law. Now use Ampere's law to answer following:...
7. (4+6=10 pts) State Biot-Savart law and Ampere's law. Now use Ampere's law to answer following: A long, cylindrical wire (radius = 2.0 cm) carries a current of 40 A that is uniformly distributed (uniform current density) over a cross section of the wire. What is the magnitude of the magnetic field at a point which is 1.5 cm from the axis of the wire?
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
[3] A wire of radius a carries a uniform current density given by which is directed out of the page as shown. The wire carries a total current I. (a) Which direction does the magnetic field circulate around the wire? (circle the correct answer below). (b) Calculate the magnitude of the current density in terms of I and a (c) Showing complete details, including sketches as necessary, calculate the vector magnetic field inside the wire in terms of I, 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...
The current density inside a long, solid, cylindrical wire of
radius a = 4.0 mm is in the direction of the central axis and its
magnitude varies linearly with radial distance r from the axis
according to J = J0r/a, where J0 = 390 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c)
r=4.0 mm from the center.
Chapter 29, Problem 047 The current density inside a lon ,...
7. (4+6=10 pts) State Biot-Savart law and Ampere's law. Now use Ampere's law to answer following: A long, cylindrical wire (radius = 2.0 cm) carries a current of 40 A that is uniformly distributed (uniform current density) over a cross section of the wire. What is the magnitude of the magnetic field at a point which is 1.5 cm from the axis of the wire?
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