(20 points) line having an inner conductor of radius a and a shell of radii b...
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...
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...
A coaxial cable consists of a solid inner conductor of radius
a, surrounded by a concentric cylindrical tube of inner
radius b and outer radius c. The conductors carry
equal and opposite currents I0distributed
uniformly across their cross-sections. Determine the magnetic
field at a distance r from the axis for the following
ranges of radii. On the figures below, draw the Amperian loop you
use in each case.
Plot your answers for the magnitude of B above on a graph...
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...
get
the solution
1. A coaxial transmission line has inner and outer conductor radii a and b. Between conductors (a < ρ < b) lies a conductive medium whose conductivity is σ(p)- /p, where σ0is a constant. The inner conductor is charged to potential V0, and the outer conductor is grounded. (a) Assuming de radial current I per unit length inz, determine the radial current density field J in A/m2. (b) Determine the electric field intensity E in terms of...
3. (20 points) A coaxial cable consists of a solid inner conductor of radius R, surrounded by a concentric cylindrical tube of inner radius R2 and outer radius R3 (see the figure). The conductors carry equal and opposite currents lo distributed uniformly across their cross sections. Let I 3.00 A, R 0.60 mm. R 4.00 mm, and R -4.80 mm. Find B for (a) (10 points)r 0.40 mm; (b) (10 points)r - 5.00 mm
need help for #1 and #3
thank you
EE 360 Test 2 Write every step for each question 1. (a) Derive the expression for capacitance between two concentric spherical surfaces of radii Ri and Ro(RI R:) if the space between the surfaces is filled with a homogenous and isotropie material having permittivity o, (b) Derive expression for the resistance of medium between two concentric spherical surfaces in part (a) has conductivity σ as its' conductivity. ols 2. A current I...
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 small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
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