![n 1) [10 marks] a) For the coupled magnetic circuit shown below, find an expression for the mutual inductance L12 or L1, whic](http://img.homeworklib.com/images/c2699b3e-cf4c-4ff9-8998-50bfb6e60cd3.png?x-oss-process=image/resize,w_560)
![Problem 1) [10 marks] a) For the coupled magnetic cireuit shown below, find an expression for the mutual inductance L2 or L,](http://img.homeworklib.com/images/a1e406ae-72a3-40c8-bf0a-5a8a8e518096.png?x-oss-process=image/resize,w_560)
Problem 1) [10 marks] a) For the coupled magnetic cireuit shown below, find an expression for the mutual inductance L2 or L, whichever simpler to determine. b) How does the mutual inductance change if the long wire is replaced by a infinitely long cylindrical conductor of radius Red along the z-axis carrying current 1, uniformly distributed over its cross section? Explain. Ck
Homework Answers
a) Basic definition of mutual inductance is used.
b) There will be no change in the value of L21 as the expressions of B are the same in the case of infinite wire and infinite cylindrical conductor of radius R.
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n 1) [10 marks] a) For the coupled magnetic circuit shown below, find an expression for the mutual inductance...
Q.3 Consider an infinitely long coaxial structure shown in the figure below. Inner conductor has a...
Q.3 Consider an infinitely long coaxial structure shown in the figure below. Inner conductor has a radius a and outer conducting shell has a radius b. Thickness of the outer conductor is ignored as it is very small. Between two conductors, there is a magnetic material with permeability () = Mo a Assume that the current I is distributed uniformly over the cross-section of the inner conductor whereas it flows on the surface of the outer conductor. a) Find the...
1. Starting with the expression for the magnetic field of a long solenoid with height h,...
1. Starting with the expression for the magnetic field of a long solenoid with height h, radius R, and N turns, and ignoring end effects, derive the inductance L of such a solenoid using the relation Vz-LI. 2. Two coaxial loops of wire, of radii a, and a, are parallel to each other and separated by distance r> a, ,a2 along their common axis. The loops carry steady currents of I, and l2, Derive the mutual inductance M of the...
A long, hollow, cylindrical conductor (inner radius 2.0 mm, outer radius 4.0 mm) carries a current of 49
A long, hollow, cylindrical conductor (inner radius 2.0 mm, outer radius 4.0 mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 55 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.2 mm. (b) 2.1 mm, and (c) 4.0 mm from the central axis of the wire and cylinder?
You may recognize the figure below from an earlier homework. It, however, represents a very different...
You may recognize the figure below from an earlier homework. It,
however, represents a very different physical situation: this is
now a very long (infinite for our purposes) conducting wire in the
form of a cylindrical shell. The inner radius of the shell
a=2.9 mm and outer radius b=4.1
mm. The electric current I=13.5 A runs along this
wire and is distributed uniformly throughout the shell
cross-section. This current is the source of the magnetic field,
which you will be...
A long, hollow, cylindrical conductor (inner radius 3.4 mm, outer radius 4.6 mm) carries a current...
A long, hollow, cylindrical conductor (inner radius 3.4 mm, outer radius 4.6 mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 52 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.0 mm, (b) 3.5 mm, and (c) 5.3 mm from the central axis of the wire and cylinder? Number Units Number Units Number Units
A very long, straight conductor located along the z axis has a circular cross section of radius 10 cm
5-15 Exercises: 5.16. A very long, straight conductor located along the z axis has a circular cross section of radius 10 cm. The conductor carries 100 A in the z direction which is uniformly distributed over its cross section. Find the magnetic field intensity (a) inside the conductor and (b) outside the conductor. Sketch the magnetic field intensity as a function of the distance from the center of the conductor. 5-15 Exercises: 5.18. A fine wire wound in the form of...
A long, hollow, cylindrical conductor (inner radius 8.0 mm, outer radius 16.0 mm) carries a current...
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"I" in the same direction. oven 1% a. The net magnetic field at a point midway...
"I" in the same direction. oven 1% a. The net magnetic field at a point midway between the two wires. b. The net magnetic field at a point a distance "a" above the upper wire Cl 4. A solid conductor of radius "a" is supported on the axis of a conducting tube with inner radius "b" and outer radius "c". The central conductor and tube carry equal currents "I" in opposite directions. The currents are distributed uniformly over the cross...
A long wire cylindrical conductor having a radius of 5.00*10^-2 m carries a current of 10.0...
A long wire cylindrical conductor having a radius of 5.00*10^-2
m carries a current of 10.0 A uniformly distributed over its
cross-section and directed out of the page in the figure below.
10.0 A (out of page) What is the magnitude of the magnetic field at a point inside the cylindrical conductor, a distance of 2.50x10"-m from its center? (A) 2.00x10 T (B) 4.00x10 T C) 6.00x10 T (D) 8.00x10 T E) 1.00x10 T
please help and show all work, preparation for final exam Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, an...
please help and show all work, preparation for final
exam
Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, and the inner cylinder is solid. The cable has a length L (a) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (b) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (c)...
Q.3 Consider an infinitely long coaxial structure shown in the figure below. Inner conductor has a radius a and outer conducting shell has a radius b. Thickness of the outer conductor is ignored as it is very small. Between two conductors, there is a magnetic material with permeability () = Mo a Assume that the current I is distributed uniformly over the cross-section of the inner conductor whereas it flows on the surface of the outer conductor. a) Find the...
1. Starting with the expression for the magnetic field of a long solenoid with height h, radius R, and N turns, and ignoring end effects, derive the inductance L of such a solenoid using the relation Vz-LI. 2. Two coaxial loops of wire, of radii a, and a, are parallel to each other and separated by distance r> a, ,a2 along their common axis. The loops carry steady currents of I, and l2, Derive the mutual inductance M of the...
You may recognize the figure below from an earlier homework. It,
however, represents a very different physical situation: this is
now a very long (infinite for our purposes) conducting wire in the
form of a cylindrical shell. The inner radius of the shell
a=2.9 mm and outer radius b=4.1
mm. The electric current I=13.5 A runs along this
wire and is distributed uniformly throughout the shell
cross-section. This current is the source of the magnetic field,
which you will be...
A long, hollow, cylindrical conductor (inner radius 3.4 mm, outer radius 4.6 mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 52 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.0 mm, (b) 3.5 mm, and (c) 5.3 mm from the central axis of the wire and cylinder? Number Units Number Units Number Units
A long, hollow, cylindrical conductor (inner radius 8.0 mm, outer radius 16.0 mm) carries a current of 14 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 14 A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the wire and cylinder? (a) 4.0 mm 0.00071 (b) 12.0 mm 0.0002333 X T (c) 20.0 mm 0.00014...
"I" in the same direction. oven 1% a. The net magnetic field at a point midway between the two wires. b. The net magnetic field at a point a distance "a" above the upper wire Cl 4. A solid conductor of radius "a" is supported on the axis of a conducting tube with inner radius "b" and outer radius "c". The central conductor and tube carry equal currents "I" in opposite directions. The currents are distributed uniformly over the cross...
A long wire cylindrical conductor having a radius of 5.00*10^-2
m carries a current of 10.0 A uniformly distributed over its
cross-section and directed out of the page in the figure below.
10.0 A (out of page) What is the magnitude of the magnetic field at a point inside the cylindrical conductor, a distance of 2.50x10"-m from its center? (A) 2.00x10 T (B) 4.00x10 T C) 6.00x10 T (D) 8.00x10 T E) 1.00x10 T
please help and show all work, preparation for final
exam
Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, and the inner cylinder is solid. The cable has a length L (a) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (b) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (c)...
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