A wire of radius a carrying a phasor current I is located at distance d above a perfect conductor.
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A wire of radius a carrying a phasor current I
is located at distance d above...
Problem 1 (20 points) There is a round conductor with a radius of 0.1 m. Suppose the permeability of the conductor and...
Problem 1 (20 points) There is a round conductor with a radius of 0.1 m. Suppose the permeability of the conductor and the air surrounding the conductor equals to 4π x 10-7 H/m. It is known that the conductor carries a current of 200 A. Calculate the (1) Total flux linkage within the conductor. (10 points) (2) Flux linkage between point 1 and point 2, which are external to the conductor. The distance between point 1 and the center of...
A transformer is constructed from a long wire carrying current I-ilocos() passes through a toroid...
A transformer is constructed from a long wire carrying current I-ilocos() passes through a toroidal ferrite which has μ,-100, inner radius-a, outer radius-b, and depth (z dimension) - c. N turns of wire are wrapped tightly around the ferrite. The current creates a magnetic flux through the N-turn coil, which, in turn, induces a voltage, Vind, across the coil, as shown. a) Find an expression for the flux density, B, in the ferrite. b) Find an expression for the flux,...
If an infinite cylinder of charge with radius "a" located on the z axis has a charge per unit length of Q Probl...
If an infinite cylinder of charge with radius "a" located on the z axis has a charge per unit length of Q Problem #3 80pts If the nearly infinitely long hollow concentric cylinders along the z axis of radius "a" and "b" described in problem 2 (a coaxial transmission line) have currents in the and z directions and have a cylindrically symmetric o directed H field of Ho at r=b find: (20) The current I required (20) The magnetic field...
b inside a current carrying wire A steady current I flows through a wire of radius...
b inside a current carrying wire
A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
5/6 pts Question 8 An infinite wire and an infinite length conductor sheet are carrying currents...
5/6 pts Question 8 An infinite wire and an infinite length conductor sheet are carrying currents 11 and 12, respectively. Both are placed parallel to the the z axis with the wire coinciding with the z axis. The conductor sheet has a semi-circle cross-section with radius b and negligible thickness. Derive an expression for the unit-length force acting on the conductor sheet due to the current passing in the wire. Current / out of the paper Currentl2 into the paper...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is constructed from a solid inner conductor of radius a, a hollow outer conductor of internal radiusb and is filled with a dielectric having relative permittivity & 2b 2a Figure A1-1: Cross section of a coaxial transmission line (a) Draw lines of electric and magnetic flux for a coaxial transmission line. (4 marks) (b) Use Gauss' Law and a relationship between electric field and voltage...
A. Two long wires are carrying equal, but opposite-direction current I are located a distance d...
A. Two long wires are carrying equal, but opposite-direction current I are located a distance d apart along the y-axis. Write an expression for the magnetic field B, produced by each wire, at point P, which is equidistant from the wires and a distance R from the plane which contains them. i. ii. 2u, Id Show that the net magnetic field at point P is given by B=- -î . T(4R+d?)
If two infinite, parallel, z-directed wires of radius “a” lie at x = b/2, y =...
If two infinite, parallel, z-directed wires of radius “a” lie at x = b/2, y = 0 for one wire and x = -b/2, y = 0 for the other wire. The wires are separated by a center-to center distance “b” where b >> a and the entire system is in a vacuum. Find: (10) The magnetic field at a distance “d” where d >> b for a current of I in one wire and -I in the other wire....
Infinite current sheet Each wire carrying .-000660000 .. the current i and the of wire per...
Infinite current sheet Each wire carrying .-000660000 .. the current i and the of wire per n. Find the direction and magnitude of a above sheet. unit length is
Assuming a current I in a semi-circular wire with radius a. What is the magnetic flux...
Assuming
a current I in a semi-circular wire with radius a. What is the
magnetic flux density on a point at the center of the semi-circle
and above the semi-circle plane by a distance d. Also find the
magnetic flux density if the circle is full.
4. Assuming a current I in a semi-circular wire with radius a. What is the magnetic flux density on a point at the center of the semi-circle and above the semi-circle plane by a...
Problem 1 (20 points) There is a round conductor with a radius of 0.1 m. Suppose the permeability of the conductor and the air surrounding the conductor equals to 4π x 10-7 H/m. It is known that the conductor carries a current of 200 A. Calculate the (1) Total flux linkage within the conductor. (10 points) (2) Flux linkage between point 1 and point 2, which are external to the conductor. The distance between point 1 and the center of...
A transformer is constructed from a long wire carrying current I-ilocos() passes through a toroidal ferrite which has μ,-100, inner radius-a, outer radius-b, and depth (z dimension) - c. N turns of wire are wrapped tightly around the ferrite. The current creates a magnetic flux through the N-turn coil, which, in turn, induces a voltage, Vind, across the coil, as shown. a) Find an expression for the flux density, B, in the ferrite. b) Find an expression for the flux,...
If an infinite cylinder of charge with radius "a" located on the z axis has a charge per unit length of Q Problem #3 80pts If the nearly infinitely long hollow concentric cylinders along the z axis of radius "a" and "b" described in problem 2 (a coaxial transmission line) have currents in the and z directions and have a cylindrically symmetric o directed H field of Ho at r=b find: (20) The current I required (20) The magnetic field...
b inside a current carrying wire
A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
5/6 pts Question 8 An infinite wire and an infinite length conductor sheet are carrying currents 11 and 12, respectively. Both are placed parallel to the the z axis with the wire coinciding with the z axis. The conductor sheet has a semi-circle cross-section with radius b and negligible thickness. Derive an expression for the unit-length force acting on the conductor sheet due to the current passing in the wire. Current / out of the paper Currentl2 into the paper...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is constructed from a solid inner conductor of radius a, a hollow outer conductor of internal radiusb and is filled with a dielectric having relative permittivity & 2b 2a Figure A1-1: Cross section of a coaxial transmission line (a) Draw lines of electric and magnetic flux for a coaxial transmission line. (4 marks) (b) Use Gauss' Law and a relationship between electric field and voltage...
A. Two long wires are carrying equal, but opposite-direction current I are located a distance d apart along the y-axis. Write an expression for the magnetic field B, produced by each wire, at point P, which is equidistant from the wires and a distance R from the plane which contains them. i. ii. 2u, Id Show that the net magnetic field at point P is given by B=- -î . T(4R+d?)
Infinite current sheet Each wire carrying .-000660000 .. the current i and the of wire per n. Find the direction and magnitude of a above sheet. unit length is
Assuming
a current I in a semi-circular wire with radius a. What is the
magnetic flux density on a point at the center of the semi-circle
and above the semi-circle plane by a distance d. Also find the
magnetic flux density if the circle is full.
4. Assuming a current I in a semi-circular wire with radius a. What is the magnetic flux density on a point at the center of the semi-circle and above the semi-circle plane by a...
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