A long solenoid that has 1,180 turns uniformly distributed over a length of 0.43

Question

A long solenoid that has 1,180 turns uniformly distributed over a length of 0.430mpriduces a magnetic field of magnitude 1.00x10^-4T at its center. What current is required in the wi A long solenoid that has 1,180 turns uniformly distributed over a length of 0.430mpriduces a magnetic field of magnitude 1.00x10^-4T at its center. What current is required in the wi A long solenoid that has 1,180 turns uniformly distributed over a length of 0.430mpriduces a magnetic field of magnitude 1.00x10^-4T at its center. What current is required in the wi

Explanation / Answer

Using this equation:
B = 0 x N/L x I

I = current

U0 = magnetic permeability = 4pi*10^-7

N = turns

L = lenght
B = 1.00 x 10-4 T
0 = 1.26 x 10-6
N/L =1,180 turns/0.430 m = 2745turns/meter

B = 0 x N/L x I
I = B / ( 0 x N/L)
I = 1.00 x 10-4 T / (1.26 x 10-6)(2745 turns/meter)
=0.0289 A

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