To construct a solenoid, you wrap insulated wire uniformly around a plastic tube

Question

To construct a solenoid, you wrap insulated wire uniformly around a plastic tube 10cm in diameter and 50cm in length. You would like a 2.2?Acurrent to produce a 2.6?kG magnetic field inside your solenoid.

To construct a solenoid, you wrap insulated wire uniformly around a plastic tube 10cm in diameter and 50cm in length. You would like a 2.2-A current to produce a 2.6- kG magnetic field inside your solenoid. What is the total length of wire you will need to meet these specifications? Express your answer using two significant figures.

Explanation / Answer

1 G = 10^-4 T

B = mue*N*I/L

==> N = B*L/mue

= 2.6*10^3*10^-4*0.5/4*pi*10^-7

= 10350 turns

length of the wire = N*pi*d

= 10350*3.14*0.1

= 2214.9 m

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