Find B(r) for r < or = a r > or = a < or =...
Find B(r) for r < or = a
r > or = a < or = 2a
r > 2a
Where B is the magnetic field, r is the radial distance, and a is
the amperes. I is induction. Answer the questions qualitatively in
finding B(r), the magnitude of the magnetic field given r.
http://i.imgur.com/Go9xonf.jpg?1
Homework Answers
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...
Page 5 3) The cross section of a long metal rod of radius R - 50...
Page 5 3) The cross section of a long metal rod of radius R - 50 mm is shown below. The rod carries a current/= 3,000 A directed out of the page and spread uniformly across the cross section of the rod. Find the magnetic field B at a radial distance r= 10 mm from the center of the rod using the following steps: a) (2.5 pts) Write an expression, in symbols, for current density J in terms of land...
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 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...
Nonuniform displacement-current density. The figure shows a circular region of radius R = 4.5 cm in...
Nonuniform displacement-current density. The figure shows a circular region of radius R = 4.5 cm in which a displacement current is directed out of the page. The magnitude of the density of this displacement current is given by Id = (7 A/m2)(1 - r/R), where r is the radial distance (SR). What is the magnitude of the magnetic field due to the displacement current at (a) r = 3.0 cm and (b) r = 5.0 cm? R (a) B =...
A long, straight, solid cylinder, oriented with its axis in the z−direction, carries a current whose...
A long, straight, solid cylinder, oriented with its axis in the z−direction, carries a current whose current density is J⃗ . The current density, although symmetrical about the cylinder axis, is not constant but varies according to the relationship J⃗ =2I0πa2[1−(ra)2]k^forr≤a=0forr≥a where a is the radius of the cylinder, r is the radial distance from the cylinder axis, and I0 is a constant having units of amperes. A)Using Ampere's law, derive an expression for the magnitude of the magnetic field...
Nonuniform displacement-current density. The figure shows a circular region of radius R = 4.0 cm in...
Nonuniform displacement-current density. The figure
shows a circular region of radius R = 4.0 cm in which a
displacement current is directed out of the page. The magnitude of
the density of this displacement current is given by
Jd = (9 A/m2)(1 -
r/R), where r is the radial distance
(r ≤ R). What is the magnitude of the magnetic
field due to the displacement current at
(a) r = 3.0 cm and
(b) r = 5.5 cm?
R
A spatially uniform magnetic field B exists within a cylindrical volume of radius R, pointing into...
A spatially uniform magnetic field B exists within a cylindrical volume of radius R, pointing into the page. at the rate of 10.0m. (i) Find the initial acceleration of a proton released at a point a directly below the center of the cylinder, at a radial distance of 5.00cm. The magnitude of this field is decreasing (ii) Now find the acceleration of an electron released at the same point. both parts. (HINT: Use your knowledge of Faraday's Law to first...
3) Three long parallel conductors carry equal currents of I= 5 Amperes. The wires are separated...
3) Three long parallel conductors carry equal currents of I= 5 Amperes. The wires are separated by a neighboring wire from a distance of a = 20 cm. a a а i) Find the magnitude and direction of the magnetic field in the center of the equilateral triangle formed by the three wires. (10 pts) ii) Find the net force per unit length exerted on the bottom left wire due to the other two wires. (10 pts) iii) Find the...
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 ,...
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...
Page 5 3) The cross section of a long metal rod of radius R - 50 mm is shown below. The rod carries a current/= 3,000 A directed out of the page and spread uniformly across the cross section of the rod. Find the magnetic field B at a radial distance r= 10 mm from the center of the rod using the following steps: a) (2.5 pts) Write an expression, in symbols, for current density J in terms of land...
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,...
Nonuniform displacement-current density. The figure shows a circular region of radius R = 4.5 cm in which a displacement current is directed out of the page. The magnitude of the density of this displacement current is given by Id = (7 A/m2)(1 - r/R), where r is the radial distance (SR). What is the magnitude of the magnetic field due to the displacement current at (a) r = 3.0 cm and (b) r = 5.0 cm? R (a) B =...
Nonuniform displacement-current density. The figure
shows a circular region of radius R = 4.0 cm in which a
displacement current is directed out of the page. The magnitude of
the density of this displacement current is given by
Jd = (9 A/m2)(1 -
r/R), where r is the radial distance
(r ≤ R). What is the magnitude of the magnetic
field due to the displacement current at
(a) r = 3.0 cm and
(b) r = 5.5 cm?
R
A spatially uniform magnetic field B exists within a cylindrical volume of radius R, pointing into the page. at the rate of 10.0m. (i) Find the initial acceleration of a proton released at a point a directly below the center of the cylinder, at a radial distance of 5.00cm. The magnitude of this field is decreasing (ii) Now find the acceleration of an electron released at the same point. both parts. (HINT: Use your knowledge of Faraday's Law to first...
3) Three long parallel conductors carry equal currents of I= 5 Amperes. The wires are separated by a neighboring wire from a distance of a = 20 cm. a a а i) Find the magnitude and direction of the magnetic field in the center of the equilateral triangle formed by the three wires. (10 pts) ii) Find the net force per unit length exerted on the bottom left wire due to the other two wires. (10 pts) iii) Find the...
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 ,...
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