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An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using...
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 = 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.
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 = 4.0 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according...
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 = 280 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 long, solid,...
An infinitely long, thin wire has a known current of 2i, which flows in the negative...
An infinitely long, thin wire has a known current of 2i, which flows in the negative x-direction. It is surrounded by an infinitely long, hollow cylindrical wire so the wires have a common axis. The hollow wire has inner radius A and outer radius B. A known current i, which is uniformly spread over the hollow wire, flows in the positive x-direction in the hollow cylindrical wire. Cross-Section View A 2i i 0 +x 2 Z B +x What is...
Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I...
Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I such that there is a constant current density j across the profile of the wire (for the first part of this task, consider just a current density in vacuum) a) in order to calculate the magnetic induction it is suitable to work in cylindrical coordinates. Considering Boundary conditions at ρ→∞, the magnetic induction ca be written as B=B_ρ (ρ,φ,z) e_ ρ + B_ φ(ρ,φ,z)e_...
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...
Answer: 3. (I) b (II) a An infinitely long, solid, cylindrical conductor has a radius of...
Answer: 3. (I) b (II) a
An infinitely long, solid, cylindrical conductor has a radius of 1 meter and is surrounded by air. It carries current out of the page. The current density J inside the conductor varies with radial distance from the central axis according to J(r) = 5r^2 where r is in meters and J is in Amps per square meter. (worth 10% of exam) Find the magnitude of the magnetic field at point A, situated inside the...
An infinitely long, thin wire has a known current of 2i, which flows in the negative...
An infinitely long, thin wire has a known current of 2i, which flows in the negative x-direction. It is surrounded by an infinitely long, hollow cylindrical wire so the wires have a common axis. The hollow wire has inner radius A and outer radius B. A known current i, which is uniformly spread over the hollow wire, flows in the positive x-direction in the hollow cylindrical wire. Cross-Section View A 21 0 +x 2 Z B 210. +x ♡ What...
A long, cylindrical conductor of radius R carries a current I as shown in the figure...
A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is function of the radius according to J = 5br^2, where b is a constant. Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: mu_0, r_1, r_2, b, R.) r_i < R r_2 >...
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 = 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 = 280 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 long, solid,...
An infinitely long, thin wire has a known current of 2i, which flows in the negative x-direction. It is surrounded by an infinitely long, hollow cylindrical wire so the wires have a common axis. The hollow wire has inner radius A and outer radius B. A known current i, which is uniformly spread over the hollow wire, flows in the positive x-direction in the hollow cylindrical wire. Cross-Section View A 2i i 0 +x 2 Z B +x What is...
Answer: 3. (I) b (II) a
An infinitely long, solid, cylindrical conductor has a radius of 1 meter and is surrounded by air. It carries current out of the page. The current density J inside the conductor varies with radial distance from the central axis according to J(r) = 5r^2 where r is in meters and J is in Amps per square meter. (worth 10% of exam) Find the magnitude of the magnetic field at point A, situated inside the...
An infinitely long, thin wire has a known current of 2i, which flows in the negative x-direction. It is surrounded by an infinitely long, hollow cylindrical wire so the wires have a common axis. The hollow wire has inner radius A and outer radius B. A known current i, which is uniformly spread over the hollow wire, flows in the positive x-direction in the hollow cylindrical wire. Cross-Section View A 21 0 +x 2 Z B 210. +x ♡ What...
A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is function of the radius according to J = 5br^2, where b is a constant. Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: mu_0, r_1, r_2, b, R.) r_i < R r_2 >...
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