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A three-conductor co-axial cable is constructed as follows. A central wire carries 1A out of the page. An infinite conducting cylindrical shell co-axial with the wire and with radius 0.15cm carries 4A of current into the page. An outer conducting cylindrical shell co-axial with the first two and having radius 0.25cm carries 3A out of the page. What is the direction of the magnetic field in the region labeled II? O O O O O ♡ O II O III...
(a) Draw the direction of the expected magnetic field lines in
r1 < r < r2. Explain how you figured out the direction
please
(b) What are the benefits of coaxial cables instead of pairs of
wires?
A coaxial cable consists of a long cylindrical copper wire of radius ri surrounded by a cylindrical shell of inner radius r2 and outer radius r's (see figure below). The wire and the shell carry equal and opposite currents Iuniformly distributed over their...
4. (12 points) A coaxial cable consists of a central conducting wire of radius a and a surrounding conducting cylindrical shell of inner radius b and outer radius c. Suppose the central wire carries a current I and the outer shell carries a uniform current 21 in the same direction. Use Ampere's Law to find the magnitude of the magnetic field (a) (3 points) in the region between the wire and outer shell a <r <b, (b) (6 points) inside...
18. A infinitely long cable consists of a solid cylindrical inner conductor of radius a, surrounded by a concentric cylindrical conducting shell of inner radius b and outer radius c. The inner conductor has a non-uniform current density (r) = ar in the z direction shown. a is a positive constant with units A-m'. The outer conductor has a uniform current density: Jr) = -B (in negative z). B has the same unit as a. The conductors carry equal and...
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...
Constants 1 Periodic Table The figure (Figure 1) shows a solid wire of radius a surrounded by a cylindrical shell with inner radius b and thickness c. This setup is a good model for a "coax' cable that you might use with your television. The inner wire and the shell carry equal but opposite currents I, assumed to be uniformly distributed. Part A For the region inside the shell but outside the wire (a<r<b), find an expression for the magnitude...
MAKE SURE TO DO PART B
1 Review Part A High-frequency signals are often transmitted along a coaxial cable, such as the one shown in the figure. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius ri while the outer conductor of radius r 2 is grounded. A soft, flexible insulating material fills the space between them, and an insulating plastic coating goes around the Find...
Clearly organize your solutions and make sure your solution includes all 1) parts of the questions. Leave all answers in terms of only L, A, B, C, a. Consider a segment of length L of an infinitely long nonconducting cylinder with radius A and nonuniform charge density that increases with length of wire given by What is the total charge Q enclosed for this segment length L? a) b) he cylinder is now surrounded by a conducting metal cylindrical shell...
Vladimirkezerashvili, Ph.D. Student's name ase show all your work. Answers without adequate work will receive no credits Carry out all the units throughout the lations. Show the numeric answers with the appropriate number of significant figures and units. Box the final answers. 15 points). A wire, in a plane, has the shape shown in figure. The radii of the semicircular segments are 20.0 cm and 30.0 cm. Current I 60.0 A. Find (a) (10 points) magnitude and (a) (5 points)...
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...