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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...
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor...
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor radius of b. The region between the conductors is filled with a linear dielectric material that has a relative permittivity er (recall, ε = Er €0). A voltage V is applied to a length h of the cable, resulting in a free-charge of qf residing on the inner conductor and -9f residing on the outer conductor. Part a Determine the D, E, and P...
The coaxial cable shown in the figure consists of a solid inner conductor of radius r...
The coaxial cable shown in the figure consists of a solid inner conductor of radius r 1 and a thin hollow outer conductor of radius r 2. The two conductors carry equal but opposite currents I, uniformly distributed. Find expressions for the strength of the B-field as a function of radial position r for a. Osrsri b.risrsrz c. r>r2 Inner conductor radius rı - - --- - - - ----- - Outer conductor
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...
6. (3 points) A coaxial cable consists of a solid inner conductor of radius Ri, surrounded...
6. (3 points) A coaxial cable consists of a solid inner conductor of radius Ri, surrounded by a concentric cylindrical tube of inner radius R2 and outer radius Rs (called the shield) as shown in Figure 8. The conductors carry equal and opposite currents, I, distributed uniformly across their cross sections. Determine the magnetic field at a distance r from the axis for: (a) r< Ri (b) Ri < R2 Page 2 (c) R2<r<Rs (d) R3 (e) Plot the magnitude...
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...
Problem 26.66 The coaxial cable shown in the figure (Eugure 1)consists of a solid inner conductor...
Problem 26.66 The coaxial cable shown in the figure (Eugure 1)consists of a solid inner conductor of radius a and a hollow outer conductor of inner radius band thickness c The two carry equal but opposite currents I, uniformly distributed. of 1 previous l 4 of 4 l return to assignr Part A Find an expression for the magnetc field strength as a function of radial positionrwithin the inner conductor Express your answer in terms of the variables I, a,...
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....
please show work A coaxial cable is constructed from a central cylindrical conductor of radius A...
please show work
A coaxial cable is constructed from a central cylindrical conductor of radius A = 1.60 cm carrying current lA = 8.40 A in the positive x direction and a concentric conducting cylindrical shell with inner radius rs = 14.0 cm and outer radius rc = 15.0 cm with a current of 19.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? fc "B...
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...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor radius of b. The region between the conductors is filled with a linear dielectric material that has a relative permittivity er (recall, ε = Er €0). A voltage V is applied to a length h of the cable, resulting in a free-charge of qf residing on the inner conductor and -9f residing on the outer conductor. Part a Determine the D, E, and P...
The coaxial cable shown in the figure consists of a solid inner conductor of radius r 1 and a thin hollow outer conductor of radius r 2. The two conductors carry equal but opposite currents I, uniformly distributed. Find expressions for the strength of the B-field as a function of radial position r for a. Osrsri b.risrsrz c. r>r2 Inner conductor radius rı - - --- - - - ----- - Outer conductor
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...
6. (3 points) A coaxial cable consists of a solid inner conductor of radius Ri, surrounded by a concentric cylindrical tube of inner radius R2 and outer radius Rs (called the shield) as shown in Figure 8. The conductors carry equal and opposite currents, I, distributed uniformly across their cross sections. Determine the magnetic field at a distance r from the axis for: (a) r< Ri (b) Ri < R2 Page 2 (c) R2<r<Rs (d) R3 (e) Plot the magnitude...
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...
Problem 26.66 The coaxial cable shown in the figure (Eugure 1)consists of a solid inner conductor of radius a and a hollow outer conductor of inner radius band thickness c The two carry equal but opposite currents I, uniformly distributed. of 1 previous l 4 of 4 l return to assignr Part A Find an expression for the magnetc field strength as a function of radial positionrwithin the inner conductor Express your answer in terms of the variables I, a,...
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....
please show work
A coaxial cable is constructed from a central cylindrical conductor of radius A = 1.60 cm carrying current lA = 8.40 A in the positive x direction and a concentric conducting cylindrical shell with inner radius rs = 14.0 cm and outer radius rc = 15.0 cm with a current of 19.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? fc "B...
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...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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