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6. 10 points A coaxial cable of length L consists of one cylinder of radius a...
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...
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...
A 30 whc 45° moldo Problem 4 Part A A coaxial cable consists of two infinitelv...
A 30 whc 45° moldo Problem 4 Part A A coaxial cable consists of two infinitelv long conducting coaxial cylinders as shown. The inner evlinder is solid with a radius of n and is positively charged with a charge per unit length of A. The outer evlinder is hollow with an inner radius of ra and an outer radius of ra. It is hegatively charged but. with the same magnitude charge per unit length. (a) Make a sketch of the...
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a...
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a positive charge per unit length of magnitude λ (C/m , and there is an equal negative charge per unit length on the outer cylinder of radius b. The region between the two cylinders is filled with an insulating material of dielectric constant K Please use...
4. (12 points) A coaxial cable consists of a central conducting wire of radius a and...
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...
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...
A variable capacitor consists of two thin coaxial metal cylinders of radii a and b, with...
A variable capacitor consists of two thin coaxial metal cylinders of radii a and b, with (b - a) << a, free to move with respect to each other in the axial direction. The length of the cylinders is L, and the potential difference between the two cylinders is V. Initially, the inner cylinder (radius = a) is completely enclosed by the outer cylinder (radius = b). Using energy methods, find the magnitude and direction of the force on the...
Derive the capacitance per unit length (C/length) for two coaxial cylinders. The inner cylinder has radius...
Derive the capacitance per unit length (C/length) for two coaxial cylinders. The inner cylinder has radius a and the outer cylinder has radius b.
A coaxial cable consists of an inner cylindrical conductor of radius R1 -0.040 m on the...
A coaxial cable consists of an inner cylindrical conductor of radius R1 -0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 -0.080 m and outer radius R3 = 0.090 m. The inner conductor carries current 11 = 4,40 A in one direction, and the outer conductor carries current 12-4.40A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (0 =...
Problem (3) A long solid metal conducting cylinder of radius cylinder of greater radius b. The...
Problem (3) A long solid metal conducting cylinder of radius cylinder of greater radius b. The inner +2C/m, and there is an equal negative linear ch The region between the two cylinders is filled w constant ing cylinder of radius a is coaxial with a long hollow metal conducting ner cylinder of radius a carries a linear positive charge density qual negative linear charge density on the outer cylinder of radius b. ve cylinders is filled with an insulating material...
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...
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...
A 30 whc 45° moldo Problem 4 Part A A coaxial cable consists of two infinitelv long conducting coaxial cylinders as shown. The inner evlinder is solid with a radius of n and is positively charged with a charge per unit length of A. The outer evlinder is hollow with an inner radius of ra and an outer radius of ra. It is hegatively charged but. with the same magnitude charge per unit length. (a) Make a sketch of the...
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a positive charge per unit length of magnitude λ (C/m , and there is an equal negative charge per unit length on the outer cylinder of radius b. The region between the two cylinders is filled with an insulating material of dielectric constant K Please use...
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...
A coaxial cable consists of an inner cylindrical conductor of radius R1 -0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 -0.080 m and outer radius R3 = 0.090 m. The inner conductor carries current 11 = 4,40 A in one direction, and the outer conductor carries current 12-4.40A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (0 =...
Problem (3) A long solid metal conducting cylinder of radius cylinder of greater radius b. The inner +2C/m, and there is an equal negative linear ch The region between the two cylinders is filled w constant ing cylinder of radius a is coaxial with a long hollow metal conducting ner cylinder of radius a carries a linear positive charge density qual negative linear charge density on the outer cylinder of radius b. ve cylinders is filled with an insulating material...
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