The figure below shows a solenoid that has n turns per unit length and carries a

Question

The figure below shows a solenoid that hasnturns per unit length and carries a currentI. Apply Ampere's law to the rectangular curve shown in the figure to derive an expression for the magnitude of the magnetic field. Assume that inside the solenoid the magnetic field is uniform and parallel with the central axis,and that outside the solenoid there is no magnetic field. (Use the following as necessary:?0,nandI.)
B=????

The figure below shows a solenoid that hasnturns per unit length and carries a currentI. Apply Ampere's law to the rectangular curve shown in the figure to derive an expression for the magnitude of the magnetic field. Assume that inside the solenoid the magnetic field is uniform and parallel with the central axis,and that outside the solenoid there is no magnetic field. (Use the following as necessary:?0,nandI.) B=????

Explanation / Answer

so amperes law is integral of B dot dl = u0 I enclosed there is no B on the top part of the loop the B is perpindicular to dl on the sides so zero there as well at the bottom its parallel so B a = u0 N I B = u0 N/a I N/a is n so B = u0 n I

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