(a) Solenoids produce magnetic fields that arerelatively intense for the amount

Question

(a) Solenoids produce magnetic fields that arerelatively intense for the amount of current they carry. To make adirect comparison, consider a solenoid with 58 turns percentimeter, a radius of 1.39 cm, and a current of 0.196 A.Calculate the magnetic field at the center of thesolenoid. (b) What current must a long,straight wire carry to have the same magnetic field as that foundabove? Let the distance from the wire be the same as the radius ofthe solenoid, 1.39 cm.
I'm not sure how to get n for the first part using the eq:nI=B Then I must convert to meters right? I'm not sure how to get n for the first part using the eq:nI=B Then I must convert to meters right?

Explanation / Answer

(a)             Given :                      Current (I) = 0.196 A                      No.of turns(N) = 58                      Raius (r) = 1.39 cm = 1.39 x 10-2 m                      Area (A)   = 2 r    Magnetic field is :                     B   = o N I / 2 r                          = ( 4 x 10-7 * 56 *0.196 A) / 2 * 1.39 x 10-2 m                           =  15.79   x 10-5    T Hope this helps u!

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