Solenoids produce magnetic fields that are relatively intense for the amount of

Question

Solenoids produce magnetic fields that are relatively intense for the amount of current they carry. To make a direct comparison, consider a solenoid with 59 turns per centimeter, a radius of 1.14 cm, and a current of 0.107 A. Calculate the magnetic field at the center of the solenoid.


What current must a long, straight wire carry to have the same magnetic field as that found above? Let the distance from the wire be the same as the radius of the solenoid, 1.14 cm.

Explanation / Answer

magnetic field of the solenoid: B1=u0*n*i, n=59/0.01=5900 turns/meter --> B1=7.93e-4 T magnetic filed of the wire: B2=uo*i/2pi*r, when r=1.14cm B2=B1=7.93e-4 --> i=B2*2*pi*r/uo=55.5 A the current in the wire must be 55. A !!!

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