Answered: A long solenoid that has 1,140 turns…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 57P: A long solenoid that has 1 000 turns uniformly distributed over a length of 0.400 m produces a...

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A long solenoid that has 1,140 turns uniformly distributed over a length of 0.420 m produces a magnetic field of magnitude 1.00 10-4 T at its center. What current is required in the windings for that to occur? mA

Expert Solution

Step 1

Number of turns of the solenoid,(N)=1140 ----(1) [Given]

Length of solenoid,(L)=0.420 m ------(2) [Given]

The magnetic field at the center of the solenoid,(B)=1 x 10^-4 T ------(3) [Given]

Absolute permeability of free space,( $μ_{o}$ )=4 $π$ x 10^-7 H/m ------(4) [Universal Constant]

Suppose current required be (I) in milli-ampere respectively.

Now the magnetic field at the center of the solenoid can be given as:-

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