Answer:
The value is [tex]B = 0.008095 \ T [/tex]
Explanation:
From the question we are told that
The number of turn is N = 1000 turns
The radius is [tex]r = 4.2 \ cm = 0.042 \ m[/tex]
The current is [tex]I = 1.7 \ A[/tex]
Generally the magnetic field is mathematically represented as
[tex]B = \frac{\mu_o * N * I }{2 \pi r }[/tex]
Here [tex]\mu _o[/tex] is the permeability of free space with value
[tex]\mu _o = 4\pi * 10^{-7} N/A^2[/tex]
So
[tex]B = \frac{4\pi * 10^{-7} * 1000 * 1.7 }{2* 3.142 * 0.042 }[/tex]
=> [tex]B = 0.008095 \ T [/tex]