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18.1 A long straight wire of radius a is oriented with its center along the z...
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find...
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find the magnetic field, both inside and outside the wire, if the current is uniformly dis- tributed over the outside surface of the wire. (b) Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that the current density J is proportional to s2, where s is the distance from the axis. (c) Show that your answers to (a)...
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
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius...
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius R, carries a total current of magnitudel, and the magnitude of the current density varies as I = ks 2 where k is a constant and s is the radial distance from the axis of the wire. i) Express the constant k in terms of I and R. Show that the magnetic field inside the wire can be expressed as B = 80. Find...
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...
A steady current I flows down a long cylindrical wire of radius a. The current is...
A steady current I flows down a long cylindrical wire of radius a. The current is distributed in such a way that the current density is J = C0 s^2 zˆ, where s is the radial distance from the axis of the wire and C0 is a constant. (a) Find the magnetic field, B~ out, outside the wire at s > a. (b) Find the magnetic field, B~ in, inside the wire at s ≤ a. (c) Find the constant...
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...
Also, what is the difference between motional EMF and transformer EMF? Explain briefly. A long, straight,...
Also, what is the difference between motional EMF and
transformer EMF? Explain briefly.
A long, straight, solid cylindrical conductor with a radius of a is shown above. The surrounding medium is free space. There is a total current lo carried by this conductor directed into the page What is the current density vector J? What is the magnetic field intensity vector H1 inside the conductor (r<a)? What is the magnetic field intensity vector H2 outside the conductor (r>a)? Ir Ir
6. A long straight wire with circular cross section and radius 1.5 cm carries a 1.2...
6. A long straight wire with circular cross section and radius 1.5 cm carries a 1.2 A current uniformly distributed throughout the wire. a) What is the current density in the wire? b) What is the magnetic field as a function of r at a point inside the wire? c) What is the magnetic field as a function of r at a point outside the wire?
10 (b) A long straight metal wire of radius a is directed along the z axis and is surrounded by a coaxial metal cylinde...
10 (b) A long straight metal wire of radius a is directed along the z axis and is surrounded by a coaxial metal cylinder of radius b, thus forming a coaxial waveguide. Consider an electromagnetic wave in this waveguide, with the electric field given by where C is a constant, s is the radius-vector in cylindrical coordinates, and w is the angular frequency of the wave (i) Show that on the inner surface of the outer cylinder, the wave satisfies...
(2) 4.[4pts) An infinitely long cylinder of radius R carries NO free current but magnetization M=ks,...
(2) 4.[4pts) An infinitely long cylinder of radius R carries NO free current but magnetization M=ks, where k > 0 is a constant and s is the cylindrical radius from the axis. Find the magnetic field B due to M both inside and outside of the cylinder.
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find the magnetic field, both inside and outside the wire, if the current is uniformly dis- tributed over the outside surface of the wire. (b) Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that the current density J is proportional to s2, where s is the distance from the axis. (c) Show that your answers to (a)...
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
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius R, carries a total current of magnitudel, and the magnitude of the current density varies as I = ks 2 where k is a constant and s is the radial distance from the axis of the wire. i) Express the constant k in terms of I and R. Show that the magnetic field inside the wire can be expressed as B = 80. Find...
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...
Also, what is the difference between motional EMF and
transformer EMF? Explain briefly.
A long, straight, solid cylindrical conductor with a radius of a is shown above. The surrounding medium is free space. There is a total current lo carried by this conductor directed into the page What is the current density vector J? What is the magnetic field intensity vector H1 inside the conductor (r<a)? What is the magnetic field intensity vector H2 outside the conductor (r>a)? Ir Ir
10 (b) A long straight metal wire of radius a is directed along the z axis and is surrounded by a coaxial metal cylinder of radius b, thus forming a coaxial waveguide. Consider an electromagnetic wave in this waveguide, with the electric field given by where C is a constant, s is the radius-vector in cylindrical coordinates, and w is the angular frequency of the wave (i) Show that on the inner surface of the outer cylinder, the wave satisfies...
(2) 4.[4pts) An infinitely long cylinder of radius R carries NO free current but magnetization M=ks, where k > 0 is a constant and s is the cylindrical radius from the axis. Find the magnetic field B due to M both inside and outside of the cylinder.
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