Using Ampere’s Law, find the magnitude of the magnetic field at a point exterior to a...
Using Ampere’s Law, find the magnitude of the magnetic field at a point exterior to a coaxial cable, a distance of 24 mm from the central axis. The coaxial cable consists of a wire with radius r1=1.3 mm and surrounding that, a cylindrical shell with inner radius r2=2.5 mm and outer radius r3=3.3 mm. The wire and cylindrical shell carry equal currents (4.0 A) in opposite directions.
Side questions: 1. does the outer radius matter? 2. what would you do if a current was given for r3?
please show numbers used in equaton
Homework Answers
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Using Ampere’s Law, find the magnitude of the magnetic field at
a point exterior to a...
(a) Draw the direction of the expected magnetic field lines in r1 < r < r2....
(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...
Your friendly cable company brings the wired internet and cable TV signals into your dorm room...
Your friendly cable company brings the wired internet and cable TV signals into your dorm room / apartment via so-called "co-axial cables". As shown on the right, a co-axial cable consists of a solid central wire of radius a, which is surrounded by a cylindrical shell of inner radius b and outer radius c As shown, the central wire and the cylindrical shell carry equa l currents / in opposite directions [3 points] Find the magnitude of the magnetic field...
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
| = _
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...
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
JI. Delermine the components of the force on the wire per 0 points) A coaxial cable...
JI. Delermine the components of the force on the wire per 0 points) A coaxial cable consists of a solid inner conductor of radi us cylindrical tube of in opposite currents lo distributed uniformly across their cross se R, surrounded by a concentric outer radius R3 (see the figure). The conductors carry equal and sections. Let lo 3.00 A, R1-0.60 mm, lo mm. Find B for (a) (10 points)r 0.40 mm; (b) (10 points)r 5.00 mm 4. (20 points) A...
1) In a simple device for measuring the magnitude B of a magnetic field, a conducting...
1) In a simple device for measuring the magnitude B of a
magnetic field, a conducting rod (length d = 1.5 m , mass m = 110 g
) hangs from a friction-free pivot and is oriented so that its axis
of rotation is aligned with the direction of the magnetic field to
be measured. Thin flexible wires (which exert negligible force on
the rod) carry a current I = 10 A , which causes the rod to deflect
an...
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...
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 =...
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...
(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...
Your friendly cable company brings the wired internet and cable TV signals into your dorm room / apartment via so-called "co-axial cables". As shown on the right, a co-axial cable consists of a solid central wire of radius a, which is surrounded by a cylindrical shell of inner radius b and outer radius c As shown, the central wire and the cylindrical shell carry equa l currents / in opposite directions [3 points] Find the magnitude of the magnetic field...
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
| = _
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...
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
JI. Delermine the components of the force on the wire per 0 points) A coaxial cable consists of a solid inner conductor of radi us cylindrical tube of in opposite currents lo distributed uniformly across their cross se R, surrounded by a concentric outer radius R3 (see the figure). The conductors carry equal and sections. Let lo 3.00 A, R1-0.60 mm, lo mm. Find B for (a) (10 points)r 0.40 mm; (b) (10 points)r 5.00 mm 4. (20 points) A...
1) In a simple device for measuring the magnitude B of a
magnetic field, a conducting rod (length d = 1.5 m , mass m = 110 g
) hangs from a friction-free pivot and is oriented so that its axis
of rotation is aligned with the direction of the magnetic field to
be measured. Thin flexible wires (which exert negligible force on
the rod) carry a current I = 10 A , which causes the rod to deflect
an...
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...
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 =...
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...
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