Calculate the magnetic field inside and outside an infinitely long solenoid of radius R that carr...
Calculate the magnetic field inside and outside an infinitely long solenoid of radius R that carries a current I and has N windings per meter (pretend that the windings are circular). Make sure that you use symmetry to show that some components of the magnetic field are zero, and indicate the symmetry operations you use to do so. Also makes sure that you make drawings of the 3 Amperian loops that you use and indicate which part of the integrals are zero and why.
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Calculate the magnetic field inside and outside an infinitely long solenoid of radius R that carr...
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Det...
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Determine the vector magnetic potential (A) both inside and outside the conductor from the relationship B V x A
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor....
Magnetic Field inside a Very Long Solenoid
A.Which figure shows the loop that the must beused as the Ampèrean loop for finding for inside the solenoid?B.Find , the z component ofthe magnetic field insidethe solenoid where Ampère's law applies.Express your answer in terms of,,,,and physical constants such as.C.The magnetic field inside a solenoidcan be found exactly using Ampère's law only if thesolenoid is infinitely long. Otherwise, the Biot-Savartlaw must beused to find an exact answer. In practice, the field can bedetermined with very little error by using...
13) Ampere’s Law – Solenoid: (12 pts) A coil of wire is wrapped into a solenoid...
13) Ampere’s Law – Solenoid: (12 pts) A coil of wire is
wrapped into a solenoid of length l = 1 m and has N = 15 loops with
a current of 1 A passing through it.
13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length 1 = 1 m and has N = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by...
electromagnetic 13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a...
electromagnetic
13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length / = 1 m and has n = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by an Amperian loop passing through the center of the solenoid as shown in the figure below. 2000000000000000 (b) is the magnetic field perfectly uniform inside this real solenoid? Explain. (e) Is the magnetic field zero or...
(d) Using the infinite solenoid approximation (B = 0 outside the solenoid) and Ampere's law, determine...
(d) Using the infinite solenoid approximation (B = 0 outside the solenoid) and Ampere's law, determine the (approximately) constant magnetic field inside the solenoid, where l is the length of the solenoid and lenc is the total current enclosed by the Amperian loop. The magnetic permeability of vacuum is Mo = 4t x 10-7 H/m. Make sure to include the appropriate units for your calculation. You can leave your answer in terms of at or use the approximation n =...
The magnetic field of a long thin solenoid is approximately zero outside the solenoid and a...
The magnetic field of a long thin solenoid is approximately zero
outside the solenoid and a uniform Bsol inside
the solenoid. A square conducting frame is located as shown. The
large frame is located entirely outside the solenoid while the
small frame is located entirely inside the solenoid. The frame and
solenoid are oriented so their axis coincide. What is the magnetic
flux through the square frame?
A. Bsol times the area of the frame for the top case
and...
2 pts Question 7 What is the magnetic field inside a 5.00-m-long solenoid that has 1000...
2 pts Question 7 What is the magnetic field inside a 5.00-m-long solenoid that has 1000 loops and carries a 1500-A current? Answer:
1. An infinite solenoid has n turns per unit length, a radius R, and carries a...
1. An infinite solenoid has n turns per unit length, a radius R, and carries a current I. The magnitude of the magnetic field inside the solenoid is given by B = Mon, pints along the solenoid, and vanishes outside. (a) Find the magnitude of the vector potential, A, at a radius r inside the solenoid. (b) Find the magnitude of the vector potential, A, at a radius r outside the solenoid. Check that your answers agree on the boundary,...
12-11 Consider a very long solenoid of N/I turns per unit length and radius R, Such...
12-11 Consider a very long solenoid of N/I turns per unit length and radius R, Such that the field inside is approximately uniform and the field outside is zero. Find the radial force on one turn of the winding, per unit length of circumference, from the magnetic energy. (a) Assume that the current I is maintained constant by a batterv (b) Repeat assuming that the flux remains constant and the system is isolated (with superconducting windings).
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Determine the vector magnetic potential (A) both inside and outside the conductor from the relationship B V x A
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor....
13) Ampere’s Law – Solenoid: (12 pts) A coil of wire is
wrapped into a solenoid of length l = 1 m and has N = 15 loops with
a current of 1 A passing through it.
13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length 1 = 1 m and has N = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by...
electromagnetic
13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length / = 1 m and has n = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by an Amperian loop passing through the center of the solenoid as shown in the figure below. 2000000000000000 (b) is the magnetic field perfectly uniform inside this real solenoid? Explain. (e) Is the magnetic field zero or...
(d) Using the infinite solenoid approximation (B = 0 outside the solenoid) and Ampere's law, determine the (approximately) constant magnetic field inside the solenoid, where l is the length of the solenoid and lenc is the total current enclosed by the Amperian loop. The magnetic permeability of vacuum is Mo = 4t x 10-7 H/m. Make sure to include the appropriate units for your calculation. You can leave your answer in terms of at or use the approximation n =...
The magnetic field of a long thin solenoid is approximately zero
outside the solenoid and a uniform Bsol inside
the solenoid. A square conducting frame is located as shown. The
large frame is located entirely outside the solenoid while the
small frame is located entirely inside the solenoid. The frame and
solenoid are oriented so their axis coincide. What is the magnetic
flux through the square frame?
A. Bsol times the area of the frame for the top case
and...
2 pts Question 7 What is the magnetic field inside a 5.00-m-long solenoid that has 1000 loops and carries a 1500-A current? Answer:
1. An infinite solenoid has n turns per unit length, a radius R, and carries a current I. The magnitude of the magnetic field inside the solenoid is given by B = Mon, pints along the solenoid, and vanishes outside. (a) Find the magnitude of the vector potential, A, at a radius r inside the solenoid. (b) Find the magnitude of the vector potential, A, at a radius r outside the solenoid. Check that your answers agree on the boundary,...
12-11 Consider a very long solenoid of N/I turns per unit length and radius R, Such that the field inside is approximately uniform and the field outside is zero. Find the radial force on one turn of the winding, per unit length of circumference, from the magnetic energy. (a) Assume that the current I is maintained constant by a batterv (b) Repeat assuming that the flux remains constant and the system is isolated (with superconducting windings).
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