Answer to Question #128997 in Electricity and Magnetism for Leslie

Question

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.

Answer 1

As per the given question,

Magnetic field $(B)=4.252 T$

Maximum current $(i)=1000A$

$\mu_o =1.25664 × 10^{−6} T · m/A.$

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

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

Now, substituting the values in the above,

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

$\Rightarrow N=3400 turn/meter$