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1. Find the magnetic field intensity H everywhere in air due to the volume current density...
1. The Biot-Savart Law states that a current induces a magnetic field of intensity H dL Free spac...
I am very lost!
1. The Biot-Savart Law states that a current induces a magnetic field of intensity H dL Free space pa dH a. If the wire is long and is carrying 10 A of current, find the magnetic field intensity H(p). then plot the field intensity vs. p on a graph for 1 sps 5 cm. A ferrite toroid 4-1 000) with an inner radius A = 1.21 cm and an outer radius P2- 4 cm is positioned...
4. (12 points) Ampere's law in cylindrical coordinates (p,p,z.) An infinitely long coaxial cable is given in the fi...
4. (12 points) Ampere's law in cylindrical coordinates (p,p,z.) An infinitely long coaxial cable is given in the figure below. The inner conductor has a radius of R1 = 1.00cm. The outer conductor has a radius R2 = 2.00cm and has negligible thickness. The inner conductor has a current density given by J 2.00A p (TR1) flowing out of the page (positive z direction), where ρ is the radial direction. The outer conductor has a current 1 of 1.00 Amperes...
#1 and #3 I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer...
#1 and #3
I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
2) A coaxial cable (along 2) consists of a thick uniform cylindrical metallic wire of radius...
2) A coaxial cable (along 2) consists of a thick uniform cylindrical metallic wire of radius Rį and a thin metallic shell of radius Rg > Ri. The current density ji =jo (+2) is uniformly distributed within the volume of the inner wire and the current density j2 = jo (-2) flows through the outer shell. The region Ri <r< R2 contains a dielectric with A = 20- a) Calculate the B-field everywhere in terms of the net current I....
3-28. A very long, nonmagnetic conductor (,-) of radius a carries the static current I as shown. ...
3-28. A very long, nonmagnetic conductor (,-) of radius a carries the static current I as shown. The conductor is surrounded by a cylindrical sleeve of nonconducting magnetic material with a thickness extending from ρ-; a top-b and the permeability μ. The surrounding region is air. (a) Make use of symmetry and Ampère's law (3-66) to find H and B in the three regions (Label the closed lines employed in the proof, depicting H in the proper sense on each...
5. (20 points) For many dielectric materials, the relationship between the displacement field D a...
5. (20 points) For many dielectric materials, the relationship between the displacement field D and the electric field E in the material is linear and can be represented simply by th equation D-eE, where ε is the permittivity of the medium. Consider now two long, co- axial cylindrical conducting shells separated by such a dielectric (see the cross-sectional figure below). Let the surface charge density on the inner cylinder with radius a be +o, and assume that the charge is...
10. A hollow cylindrical conductor (inner radius - current i uniformly spread over its b) carries...
10. A hollow cylindrical conductor (inner radius - current i uniformly spread over its b) carries a cross section. Which graph below correctly a, outer radius gives B as a function of the distance r from the center of the cylinder?
The magnetic field intensity in all of space is given in terms of spherical coordinates: (1...
The magnetic field intensity in all of space is given in terms
of spherical coordinates:
(1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
1) A magnetic field intensity vector H has only Z component given by HZ= 3xcosβ+6ysinα. If...
1) A magnetic field intensity vector H has only Z component given by HZ= 3xcosβ+6ysinα. If the field is invariant with time. What is the expression for the current density vector J? (α and β are constants). 2) An electron whose Q= -1.602*10-19 C, is moving with a velocity of 106m/s in the ax direction in a magnetic field B=0.2ax-0.3ay+0.5az wb/m2. What is the electric field present if no net force is applied tot he electron. ( Note = Total...
1. Find the electric field at point a for: a. A solid sphere of radius R...
1. Find the electric field at point a for: a. A solid sphere of radius R carrying a volume charge density ρ b. An infinitely long, thin wire carrying a line charge density Side Cross Section C. A plane of infinite area carrying a surface charge density ơ PoT 2. Avery long cylinder with radius a and charge density pa-is placed inside of a conducting cylindrical shell. The cylindrical shell has an inner radius of b and a thickness of...
I am very lost!
1. The Biot-Savart Law states that a current induces a magnetic field of intensity H dL Free space pa dH a. If the wire is long and is carrying 10 A of current, find the magnetic field intensity H(p). then plot the field intensity vs. p on a graph for 1 sps 5 cm. A ferrite toroid 4-1 000) with an inner radius A = 1.21 cm and an outer radius P2- 4 cm is positioned...
4. (12 points) Ampere's law in cylindrical coordinates (p,p,z.) An infinitely long coaxial cable is given in the figure below. The inner conductor has a radius of R1 = 1.00cm. The outer conductor has a radius R2 = 2.00cm and has negligible thickness. The inner conductor has a current density given by J 2.00A p (TR1) flowing out of the page (positive z direction), where ρ is the radial direction. The outer conductor has a current 1 of 1.00 Amperes...
#1 and #3
I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
2) A coaxial cable (along 2) consists of a thick uniform cylindrical metallic wire of radius Rį and a thin metallic shell of radius Rg > Ri. The current density ji =jo (+2) is uniformly distributed within the volume of the inner wire and the current density j2 = jo (-2) flows through the outer shell. The region Ri <r< R2 contains a dielectric with A = 20- a) Calculate the B-field everywhere in terms of the net current I....
3-28. A very long, nonmagnetic conductor (,-) of radius a carries the static current I as shown. The conductor is surrounded by a cylindrical sleeve of nonconducting magnetic material with a thickness extending from ρ-; a top-b and the permeability μ. The surrounding region is air. (a) Make use of symmetry and Ampère's law (3-66) to find H and B in the three regions (Label the closed lines employed in the proof, depicting H in the proper sense on each...
5. (20 points) For many dielectric materials, the relationship between the displacement field D and the electric field E in the material is linear and can be represented simply by th equation D-eE, where ε is the permittivity of the medium. Consider now two long, co- axial cylindrical conducting shells separated by such a dielectric (see the cross-sectional figure below). Let the surface charge density on the inner cylinder with radius a be +o, and assume that the charge is...
10. A hollow cylindrical conductor (inner radius - current i uniformly spread over its b) carries a cross section. Which graph below correctly a, outer radius gives B as a function of the distance r from the center of the cylinder?
The magnetic field intensity in all of space is given in terms
of spherical coordinates:
(1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
1. Find the electric field at point a for: a. A solid sphere of radius R carrying a volume charge density ρ b. An infinitely long, thin wire carrying a line charge density Side Cross Section C. A plane of infinite area carrying a surface charge density ơ PoT 2. Avery long cylinder with radius a and charge density pa-is placed inside of a conducting cylindrical shell. The cylindrical shell has an inner radius of b and a thickness of...
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