Calculate the self-inductance per unit length for a coaxial cable. As a model for the cable,...
Calculate the self-inductance per unit length for a coaxial cable. As a model for the cable, assume that current flows uniformly through a circular cross-section off radius R, and then returns along the surface of the cable (so that there is no magnetic field outside the cable). You can neglect the thin insulator that separates the current from the return current in your calculations.
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Calculate the self-inductance per unit length for a coaxial
cable. As a model for the cable,...
Please write legibly 3. Self Inductance of coax: Consider a coaxial cable which is an (infinitely)...
Please write legibly
3. Self Inductance of coax: Consider a coaxial cable which is an (infinitely) long wire of radius a, with given current flowing uniformly up it (so J(t)-I(t)/Ta2 goes uniformly through the wire) At the outside edge (r-a), there is an infinitesimally thin insulator, and just outside that, arn infinitesimally thin sheath that returns ALL the current, basically a surface current going down the opposite direction carrying a total -I(t) back down. Figure out the B field everywhere...
Self-Inductance of a Coaxial Cable
Intro: A coaxial cable consists of alternating coaxial cylinders ofconducting and insulating material. Coaxial cabling is the primarytype of cabling used by the cabletelevision industry and is alsowidely used for computer networks such as Ethernet, on account ofits superior ability to transmit large volumes of electrical signalwithminimum distortion. Like all other kinds of cables, however,coaxial cables also have some self-inductance that has undesirableeffects, such as producing somedistortion and heating.Consider a long coaxial cable made of two coaxial cylindricalconductors that carry...
Find the per unit length inductance of a coaxial cable having interior conductor of radius 'a'...
Find the per unit length inductance of a coaxial cable having interior conductor of radius 'a' and an outer radius 'b', it the currents that flows through the cable is ''I"
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....
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...
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...
Question 1: Calculate the self-inductance of: (a) 5 cm of coaxial cable with a- 0.4 mm...
Question 1: Calculate the self-inductance of: (a) 5 cm of coaxial cable with a- 0.4 mm and b-2 mm, filled with material for which Hr-30; (b) a solenoid having 100 turns about a cylindrical core of4 cm radius in which μ.-50 for 0 < ρ < 1 cm and μ,-1 for l < ρ < 2 cm; the length of the solenoid is 25 cm. (5+5-10 marks)
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)...
A coaxial cable, as shown in Figure 2, consists of an inner conductor of radius a,...
A coaxial cable, as shown in Figure 2, consists of an inner conductor of radius a, surrounded by an outer conductor of radius b, along the same axis. The space is filled with dielectric. The cable is connected to a power supply and it is deposited a charge of +Q uniformly along the length of the surface of the inner conductor and a charge - Q uniformly along the length of the inner surface of the outer conductor. No fields...
5. Consider a very long coaxial cable, comprised of concentric cylindrical conductors with some insulating gap...
5. Consider a very long coaxial cable, comprised of concentric cylindrical conductors with some insulating gap between them. In particular, the inner solid cylindrical conductor has a radius, a, and carries a total, axial current, I. However, this current is not distributed uniformly along its circular cross section. In particular, the current density of this inner conductor is J(r) = Jovi where Jo is a positive constant that is to be determined and r labels the radial distance away from...
Please write legibly
3. Self Inductance of coax: Consider a coaxial cable which is an (infinitely) long wire of radius a, with given current flowing uniformly up it (so J(t)-I(t)/Ta2 goes uniformly through the wire) At the outside edge (r-a), there is an infinitesimally thin insulator, and just outside that, arn infinitesimally thin sheath that returns ALL the current, basically a surface current going down the opposite direction carrying a total -I(t) back down. Figure out the B field everywhere...
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....
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...
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...
Question 1: Calculate the self-inductance of: (a) 5 cm of coaxial cable with a- 0.4 mm and b-2 mm, filled with material for which Hr-30; (b) a solenoid having 100 turns about a cylindrical core of4 cm radius in which μ.-50 for 0 < ρ < 1 cm and μ,-1 for l < ρ < 2 cm; the length of the solenoid is 25 cm. (5+5-10 marks)
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)...
A coaxial cable, as shown in Figure 2, consists of an inner conductor of radius a, surrounded by an outer conductor of radius b, along the same axis. The space is filled with dielectric. The cable is connected to a power supply and it is deposited a charge of +Q uniformly along the length of the surface of the inner conductor and a charge - Q uniformly along the length of the inner surface of the outer conductor. No fields...
5. Consider a very long coaxial cable, comprised of concentric cylindrical conductors with some insulating gap between them. In particular, the inner solid cylindrical conductor has a radius, a, and carries a total, axial current, I. However, this current is not distributed uniformly along its circular cross section. In particular, the current density of this inner conductor is J(r) = Jovi where Jo is a positive constant that is to be determined and r labels the radial distance away from...
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