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3.The shorted coax Imagine a coaxial cable made out of two concentric conductors of radius rı...
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...
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...
A coaxial cable consists of a solid inner conductor with radius R1, surrounded by a concentric...
A
coaxial cable consists of a solid inner conductor with radius R1,
surrounded by a concentric cylindrical tube with inner radius R2
and outer radius R3. The conductors carry equal and opposite
currents I distributed evenly across their cross sections.
Determine the magnetic field at a distance R from the axis to:
a)R<R1
b)R1<R<R2
c)R2<R<R3
d)R>R3
e)I=1.20A, R1=1.00cm, R2=2.00cm y R3=2.50cm
Graphic B, R=0 to R=3.00cm
| = _
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 consists of a solid inner conductor of radius a, surrounded by a concentric...
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...
A coaxial cable consists of a fixed inner conductor with radius R1, which is surrounded by...
A coaxial cable consists of a fixed inner conductor with radius
R1, which is surrounded by a concentric cylindrical tube with inner
radius R2 and outer radius R3 (Figure 1). The conductors carry
oppositely directed currents I0 of equal size, which are
homogeneously distributed over their cross sections. Determine the
magnetic field at a distance r from the axis for a) <R1, b) R1
<r <R2, c) R2 <r <R3 and d) R3 <r.
(Show the appropriate ampere loop for...
2. (15 points) A coaxial cable consists of a solid inner conductor of radius R,, surrounded by a concentric cylindr...
2. (15 points) A coaxial cable consists of a solid inner conductor of radius R,, surrounded by a concentric cylindrical tube of inner radius R, and outer radius R (see the figure). The conductors carry equal and opposite currents lo distributed uniformly across their cross sections. Let l. = 3,00 A, R = 0.00 mm, R2 - 4.00 mm, and R, = 4.80 mm. Find B for (a) (10 points) r = 2.00 mm; (b) (5 points) 5.00 mm Jos.oon,...
3. (20 points) A coaxial cable consists of a solid inner conductor of radius R, surrounded...
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
4. (12 points) Ampere's law in cylindrical coordinates (p,p,z.) An infinitely long coaxial cable is given in the fi...
4. (12 points) Ampere's law in cylindrical coordinates (p,p,z.) An infinitely long coaxial cable is given in the figure below. The inner conductor has a radius of R1 = 1.00cm. The outer conductor has a radius R2 = 2.00cm and has negligible thickness. The inner conductor has a current density given by J 2.00A p (TR1) flowing out of the page (positive z direction), where ρ is the radial direction. The outer conductor has a current 1 of 1.00 Amperes...
Problem1 In the concentric spherical conductors system shown in Figure 1, the inner conductor has positive charge-q and radius a. The outer conductor has radius b a) Using Gauss' Law determin...
Problem1 In the concentric spherical conductors system shown in Figure 1, the inner conductor has positive charge-q and radius a. The outer conductor has radius b a) Using Gauss' Law determine the electric field vector E(r) in the region between the conductors (acrcb) and the potential difference Vab between them. b) Calculate E(r) and Vab if the two conductors have a 30 mm, b-40 mm, q 10uc, r-35 mm ε,-8.85x10-12C3(N.m2. For the circuit shown in Figure 2 find: a) the...
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...
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...
A
coaxial cable consists of a solid inner conductor with radius R1,
surrounded by a concentric cylindrical tube with inner radius R2
and outer radius R3. The conductors carry equal and opposite
currents I distributed evenly across their cross sections.
Determine the magnetic field at a distance R from the axis to:
a)R<R1
b)R1<R<R2
c)R2<R<R3
d)R>R3
e)I=1.20A, R1=1.00cm, R2=2.00cm y R3=2.50cm
Graphic B, R=0 to R=3.00cm
| = _
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 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...
A coaxial cable consists of a fixed inner conductor with radius
R1, which is surrounded by a concentric cylindrical tube with inner
radius R2 and outer radius R3 (Figure 1). The conductors carry
oppositely directed currents I0 of equal size, which are
homogeneously distributed over their cross sections. Determine the
magnetic field at a distance r from the axis for a) <R1, b) R1
<r <R2, c) R2 <r <R3 and d) R3 <r.
(Show the appropriate ampere loop for...
2. (15 points) A coaxial cable consists of a solid inner conductor of radius R,, surrounded by a concentric cylindrical tube of inner radius R, and outer radius R (see the figure). The conductors carry equal and opposite currents lo distributed uniformly across their cross sections. Let l. = 3,00 A, R = 0.00 mm, R2 - 4.00 mm, and R, = 4.80 mm. Find B for (a) (10 points) r = 2.00 mm; (b) (5 points) 5.00 mm Jos.oon,...
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
4. (12 points) Ampere's law in cylindrical coordinates (p,p,z.) An infinitely long coaxial cable is given in the figure below. The inner conductor has a radius of R1 = 1.00cm. The outer conductor has a radius R2 = 2.00cm and has negligible thickness. The inner conductor has a current density given by J 2.00A p (TR1) flowing out of the page (positive z direction), where ρ is the radial direction. The outer conductor has a current 1 of 1.00 Amperes...
Problem1 In the concentric spherical conductors system shown in Figure 1, the inner conductor has positive charge-q and radius a. The outer conductor has radius b a) Using Gauss' Law determine the electric field vector E(r) in the region between the conductors (acrcb) and the potential difference Vab between them. b) Calculate E(r) and Vab if the two conductors have a 30 mm, b-40 mm, q 10uc, r-35 mm ε,-8.85x10-12C3(N.m2. For the circuit shown in Figure 2 find: a) the...
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