Answer to Question #128997 in Electricity and Magnetism for Leslie

Question #128997
A superconducting solenoid is to be designed to have an interior field of 4.252 T with a maximum current of 1000 A. The permeability of free space is 1.25664 × 10−6 T · m/A. How many windings are required on a 1- meter solenoid length?
Answer in units of turns/m.
1
Expert's answer
2020-08-10T19:59:04-0400

As per the given question,

Magnetic field (B)=4.252T(B)=4.252 T

Maximum current (i)=1000A(i)=1000A

μo=1.25664×106Tm/A.\mu_o =1.25664 × 10^{−6} T · m/A.

Interior magnetic field of the solenoid (B)=μonI(B)=\mu_o nI

Number of binding per meter (N)=BμoI(N)=\frac{B}{\mu_o I}

Now, substituting the values in the above,

N=4.25T1.25664×106×1000A.Tm/A.N=\frac{4.25 T}{1.25664 × 10^{−6}\times 1000A.T · m/A.}

N=3400turn/meter\Rightarrow N=3400 turn/meter


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