The magnitude J(r) of the current density in a certain cylindrical wire is given as a...
The magnitude J(r) of the current density in a certain cylindrical wire is given as a function of radial distance from the center of the wire's cross section as J(r) = Br, where r is in meters, J is in amperes per square meter, and B = 1.70 ✕ 105 A/m3. This function applies out to the wire's radius of 2.00 mm. How much current is contained within the width of a thin ring concentric with the wire if the ring has a radial width of 15.0 μm and is at a radial distance of 1.20 mm?
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The magnitude J(r) of the current density in a certain
cylindrical wire is given as a...
The magnitude j(t) of the current density in a certain cylindrical wire is given as a...
The magnitude j(t) of the current density in a certain cylindrical wire is given as a function of radial distance from the center of the wire?s cross section as 3 (r) = Br where r is in meters j is in amperes per square meter, and B = 2.34 x 10^5 A/m^3. This function applies out to the wire?s radius of 2.00 mm. much current is contained within the width of a thin ring concentric with the wire of the...
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...
The current density in a cylindrical wire of radius R = 2.0 mm is uniform across...
The current density in a cylindrical wire of radius R = 2.0 mm is uniform across a across section of the wire and is J = 2.0 times 10^5 A/m^2. What is the current through the outer portion of the wire between the radial distances R/2 and R and shown below Suppose, instead, that the current density through a cross section varies with the radial distances r as J = ar^2 in which a = 3.0 times 10^11 A/m^2 and...
What is the current in a wire of radius R - 3.53 mm if the magnitude...
What is the current in a wire of radius R - 3.53 mm if the magnitude of the current density is given by (a) Jand (b JJo(1 r/R) in which r is the radial distance and Jo - 7.80 x 104 A/m? (c) Which function maximizes the current density near the wire's surface?
What is the current in a wire of radius R-3.79 mm if the magnitude of the...
What is the current in a wire of radius R-3.79 mm if the magnitude of the current density is given by (a) Ja-Jor/R and (b) Jb-Jo(1-r/R) ?n which r is the radial distance and Jo- 7.54 x 104 A/m2? (c) Which function maximizes the current density near the wire's surface? (a) Number Units (b) Number Units
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 ,...
. If the current density J in a cylindrical wire with cross-sectional radius R is given...
. If the current density J in a cylindrical wire with cross-sectional radius R is given byJ-kr, 0 < r < R, what is the current in the wire? a. 2TtkR3/3 e. None of the above
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 = 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,...
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 magnitude j(t) of the current density in a certain cylindrical wire is given as a function of radial distance from the center of the wire?s cross section as 3 (r) = Br where r is in meters j is in amperes per square meter, and B = 2.34 x 10^5 A/m^3. This function applies out to the wire?s radius of 2.00 mm. much current is contained within the width of a thin ring concentric with the wire of the...
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...
The current density in a cylindrical wire of radius R = 2.0 mm is uniform across a across section of the wire and is J = 2.0 times 10^5 A/m^2. What is the current through the outer portion of the wire between the radial distances R/2 and R and shown below Suppose, instead, that the current density through a cross section varies with the radial distances r as J = ar^2 in which a = 3.0 times 10^11 A/m^2 and...
What is the current in a wire of radius R - 3.53 mm if the magnitude of the current density is given by (a) Jand (b JJo(1 r/R) in which r is the radial distance and Jo - 7.80 x 104 A/m? (c) Which function maximizes the current density near the wire's surface?
What is the current in a wire of radius R-3.79 mm if the magnitude of the current density is given by (a) Ja-Jor/R and (b) Jb-Jo(1-r/R) ?n which r is the radial distance and Jo- 7.54 x 104 A/m2? (c) Which function maximizes the current density near the wire's surface? (a) Number Units (b) Number Units
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 ,...
. If the current density J in a cylindrical wire with cross-sectional radius R is given byJ-kr, 0 < r < R, what is the current in the wire? a. 2TtkR3/3 e. None of the above
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,...
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