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Which of the following is true?

  1. Amper's law is only true for systems with a lot of symmetry.
  2. Ampere's law is only valid for current loops.
  3. Ampere's law can be used to find the magnetic field inside a solenoid.
  4. Ampere's law is valid only for a long straight wire.
  5. none of these.

 

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Uttam Saikia
Uttam SaikiaLv10
7 Oct 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A 310 turn solenoid with a length of19.0 cm and a radius of 1.70 cmcarries a current of 1.70 A. A second coil of four turns is wrappedtightlyaround this solenoid, so it can be considered to have thesameradius as the solenoid. The current in the 310 turn solenoidincreases steadily to 5.00 A in0.900 s.

(a) Use Ampere's law to calculate theinitialmagnetic field in the middle of the 310turn solenoid.
1T

(b) Calculate the magnetic field of the 310 turn solenoid after0.900 s.
2T

(c) Calculate the area of the 4-turn coil.
3m2

(d) Calculate the change in the magnetic flux through the4-turncoil during the same period.
4
Your response differs from the correct answerby orders ofmagnitude. Wb

(e) Calculate the average induced emf in the 4-turn coil.
5
Your response differs from the correct answerby 10% to 100%.V
for d I keep getting 6.8e-2Tm2, it's supposedtobe in Wb I know, but is 6.8 even right?

Magnetic Field inside a Very Long Solenoid Learning Goal: To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's law. To calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The segment of the solenoid shown in (Figure 1) has length L, diameter D, and n turns per unit length with each carrying current I. It is usual to assume that the component of the current along the z-axis is negligible. (This may be assured by winding two layers of closely spaced wires that spiral in opposite directions.) From symmetry considerations, it is possible to show that far from the ends of the solenoid, the magnetic field is axial.

Magnetic Field inside a Very

A) What is Iencl, the current passing through the chosen loop?

B) Find Bin, the z component of the magnetic field inside the solenoid where Ampère's law applies.

Problem Details

Magnetic Field inside a Very Long Solenoid Learning Goal: To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's law to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The segment of the solenoid shown in (Figure 1) has length L, diameter D, and n turns per unit length with each carrying current I. It is usual to assume that the component of the current along the z axis is negligible. (This may be assured by winding two layers of closely spaced wires that spiral in opposite directions.) From symmetry considerations, it is possible to show that far from the ends of the solenoid, the magnetic field is axial.

 

Part D

What is Iencl, the current passing through the chosen loop?

Express your answer in terms of L (the length of the Ampèrean loop along the axis of the solenoid) and other variables given in the introduction.

 

Part E

Find Bin, the z component of the magnetic field inside the solenoid where Ampère's law applies.

Express your answer in terms of L, D, n, I, and physical constants such as ?

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