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Problem 4 (20 points): A long, solid conducting cylinder of radius R has a current density within...
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...
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...
Problem (3) A long solid metal conducting cylinder of radius cylinder of greater radius b. The...
Problem (3) A long solid metal conducting cylinder of radius cylinder of greater radius b. The inner +2C/m, and there is an equal negative linear ch The region between the two cylinders is filled w constant ing cylinder of radius a is coaxial with a long hollow metal conducting ner cylinder of radius a carries a linear positive charge density qual negative linear charge density on the outer cylinder of radius b. ve cylinders is filled with an insulating material...
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 (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a...
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a positive charge per unit length of magnitude λ (C/m , and there is an equal negative charge per unit length on the outer cylinder of radius b. The region between the two cylinders is filled with an insulating material of dielectric constant K Please use...
7.(10) A long solid cylinder with radius Riis surrounded by a long thin cylindrical shell with...
7.(10) A long solid cylinder with radius Riis surrounded by a long thin cylindrical shell with radius R. The solid cylinder has a uniform current, I1, and the thin shell has a uniform current, 12. Use Ampere's law to derive the equation for the magnetic field for points inside the cylinder, r<R1.
Cross-sectional View (current into page) A section of a long conducting cylinder with inner radiu...
Cross-sectional View (current into page) A section of a long conducting cylinder with inner radius a and outer radius b carries a current lo that has a uniform current density, as shown in the figure above. (a) Using Ampère's law, derive an expression for the magnitude of the magnetic field in the following regions as a function of the distance r from the central axis. t. r<a ii. a<r<b (b) On the cross-sectional view in the diagram above, indicate the...
It has a very long non-conductive solid cylinder and R radius, with a volumetric load density...
It has a very long non-conductive solid cylinder and R radius, with a volumetric load density given by . Do you build in detail an equation that allows you to calculate the magnitude of the electric field at a point within the cylinder volume at an r distance from its center? What will be the electric field on the surface of the cylinder?
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?
2. A modified coaxial cable consists of a solid cylinder (radius 'a') with a uniform current...
2. A modified coaxial cable consists of a solid cylinder (radius 'a') with a uniform current density and a concentric cylindrical conducting thin shell (radius 'b'). The outer and inner current have an equal magnitude, but are opposite in direction. Io (along outside) (along the axis) (off-axis view) In terms of radial distance 'r', and the relevant parameters in the diagram above, A) Derive an expression for the magnetic field inside the solid cylinder (r <a) B) Derive an expression...
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...
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...
Problem (3) A long solid metal conducting cylinder of radius cylinder of greater radius b. The inner +2C/m, and there is an equal negative linear ch The region between the two cylinders is filled w constant ing cylinder of radius a is coaxial with a long hollow metal conducting ner cylinder of radius a carries a linear positive charge density qual negative linear charge density on the outer cylinder of radius b. ve cylinders is filled with an insulating material...
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a positive charge per unit length of magnitude λ (C/m , and there is an equal negative charge per unit length on the outer cylinder of radius b. The region between the two cylinders is filled with an insulating material of dielectric constant K Please use...
7.(10) A long solid cylinder with radius Riis surrounded by a long thin cylindrical shell with radius R. The solid cylinder has a uniform current, I1, and the thin shell has a uniform current, 12. Use Ampere's law to derive the equation for the magnetic field for points inside the cylinder, r<R1.
Cross-sectional View (current into page) A section of a long conducting cylinder with inner radius a and outer radius b carries a current lo that has a uniform current density, as shown in the figure above. (a) Using Ampère's law, derive an expression for the magnitude of the magnetic field in the following regions as a function of the distance r from the central axis. t. r<a ii. a<r<b (b) On the cross-sectional view in the diagram above, indicate the...
2. A modified coaxial cable consists of a solid cylinder (radius 'a') with a uniform current density and a concentric cylindrical conducting thin shell (radius 'b'). The outer and inner current have an equal magnitude, but are opposite in direction. Io (along outside) (along the axis) (off-axis view) In terms of radial distance 'r', and the relevant parameters in the diagram above, A) Derive an expression for the magnetic field inside the solid cylinder (r <a) B) Derive an expression...
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