wire in a coaxial cable carries current 2.00 A in one direc- tion, and the sheath...
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 long straight coaxial cable that carries a total current +I on its central conductor and - I on its concentric outer shell. Assuming that the current density on both conductors is uniform (though not necessarily the same value for both), find the magnitude of the magnetic field as a function of the radial distance s from the centre of the cable. Sketch a plot your result. For this particular problem, let the central conductor have a radius a...
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 =...
A coaxial cable is constructed from a central cylindrical conductor of radius ra = 2.00 cm carrying current IA = 9.20 A in the positive x direction and a concentric conducting cylindrical shell with inner radius 18 = 14.0 cm and outer radius rc = 15.0 cm with a current of 21.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? Z Ів a fc 1B...
A coaxial cable is constructed from a central cylindrical conductor of radius rA = 1.40 cm carrying current IA = 7.90 A in the positive x direction and a concentric conducting cylindrical shell with inner radius rB = 14.0 cm and outer radius rC = 15.0 cm with a current of 32.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? = 7.90 A A coaxial...
A cylindrical conductor of radius R = 2.60 cm carries a current of I = 2.00 A along its length. This current is uniformly distributed throughout the cross section of the conductor. (a) Calculate the magnitude of the magnetic field midway along the radius of the wire (that is, at r = R/2). ________µT (b) Find the distance beyond the surface of the conductor at which the magnitude of the magnetic field has the same value as the magnitude of...
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...
4.A coaxial cable has an inner core of copper wire with a 3 mm diameter with a current density of 1.768E4 A/m2. The image shows a cross-sectional area of the wire. The current in the core is flowing out of the page. The core is surrounded by a thin sheath of insulating material, 1mm thick. Surrounding this is a thin cylindrical shell of copper wire 1mm thick, that carries the returning current back into the page. The copper shell is...
A coaxial cable has current on the inner conductor 8A in +x direction and returns in –x direction at the outer conductor. The inner conductor radius is 2 m and outer conductor radii are 4 and 6. Apply ampere’s law and calculate the magnitude of magnetic field inside the inner conductor. Answer Options are: r/pi ; 8/pi*r ; (8*r)/2*pi
Figure CQ19.7 shows a coaxial cable carrying current I in its inner conductor and a return current of the same magnitude in the opposite direction in the outer conductor. The magnetic field strength at r 5 r0 is B0. Find the ratio B /B0 at (a) r 5 2r0 and (b) r 5 4r0. A little explanation would be greatly appreciated! A47