Magnetostatics
in an infinitely long cylinder of radius p0=50.0mm there is a full space volume current density J=100.0Amm^-3 perpendicularly piercing its circular cross section.At any radial distance p from the cylinder's longitudinal central axis the magnetic field created is H
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5. Find the electric field E of an infinitely long cylindrical shell with volume charge density...
5. Find the electric field E of an infinitely long cylindrical shell with volume charge density ped = k/? where ? is the radial distance from the central axis of the cylinder. The inner radius of the shell is a and the outer radius is b.
5.22 A long cylindrical conductor whose axis is coincident with the z axis has a radius...
5.22 A long cylindrical conductor whose axis is coincident with the z axis has a radius a and carries a current characterized by a current density J żJo/r, where Jo is a constant and r is the radial distance from the cylinder's axis. Obtain an expression for the magnetic field H for (a) 0<r Sa (b) r > a
An infinitely long insulating cylinder of radius R has a volume charge density that varies with...
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p po (a-where po a and b are positive constants and ris the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (a) r< R and (b)r>R
2. (30 points) A very long, straight, solid copper cylinder of radius R (>2R) is oriented with it...
2. (30 points) A very long, straight, solid copper cylinder of radius R (>2R) is oriented with its axis along e z-direction. The cylinder carries a current whose current density is j(r), where r is the radial distance from the cylinder axis. The current density, although symmetric about the cylinder axis, is not constant but varies with r according to 31o a) (10) Obtain an expression for the current /(in terms of Jo, r and R) flowing in a circular...
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 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...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
PLease help with this showing all steps and explanations ASAP Question 3 (option): 6) A very...
PLease help with this showing all steps and explanations
ASAP
Question 3 (option): 6) A very long line of charge with charge density = 20 nC/em lies along the s-axis in free space. Draw (schematically) the E-field due to this line of charge. Explain what principles you used to sketch the E-field and comment on the praph. Calculate the electric field strength and displacement field at a distance d 50 cm from the line Comment on any assumptions and approximations...
A long, non conducting, solid cylinder of radius 4.7 cm has a nonuniform volume charge density...
A long, non conducting, solid cylinder of radius 4.7 cm has a nonuniform volume charge density ? = Ar2, a function of the radial distance r from the cylinder axis. A = 2.4 µC/m5. (a) What is the magnitude of the electric field at a radial distance of 3.7 cm from the axis of the cylinder? (b) What is the magnitude of the electric field at a radial distance of 5.7 cm from the axis of the cylinder?
please help me understand How much work is required to put the four charges together as...
please help me understand
How much work is required to put the four charges together as indicated in the Figure? I 3. An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p Ar2 where A is a constant and r is the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (b) a) r > R. r< R
5. Find the electric field E of an infinitely long cylindrical shell with volume charge density ped = k/? where ? is the radial distance from the central axis of the cylinder. The inner radius of the shell is a and the outer radius is b.
5.22 A long cylindrical conductor whose axis is coincident with the z axis has a radius a and carries a current characterized by a current density J żJo/r, where Jo is a constant and r is the radial distance from the cylinder's axis. Obtain an expression for the magnetic field H for (a) 0<r Sa (b) r > a
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p po (a-where po a and b are positive constants and ris the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (a) r< R and (b)r>R
2. (30 points) A very long, straight, solid copper cylinder of radius R (>2R) is oriented with its axis along e z-direction. The cylinder carries a current whose current density is j(r), where r is the radial distance from the cylinder axis. The current density, although symmetric about the cylinder axis, is not constant but varies with r according to 31o a) (10) Obtain an expression for the current /(in terms of Jo, r and R) flowing in a circular...
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...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
PLease help with this showing all steps and explanations
ASAP
Question 3 (option): 6) A very long line of charge with charge density = 20 nC/em lies along the s-axis in free space. Draw (schematically) the E-field due to this line of charge. Explain what principles you used to sketch the E-field and comment on the praph. Calculate the electric field strength and displacement field at a distance d 50 cm from the line Comment on any assumptions and approximations...
please help me understand
How much work is required to put the four charges together as indicated in the Figure? I 3. An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p Ar2 where A is a constant and r is the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (b) a) r > R. r< R
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