Answer:
The value is [tex]B = 0.0643 \ T[/tex]
Explanation:
From the question we are told that
The length of the solenoid is [tex]L = 133 \ cm = 1.33 \ m[/tex]
The radius is [tex]r = 2.99 \ cm = 0.0299 \ m[/tex]
The number of turns is [tex]N = 1740 \ turns[/tex]
The current it carries is [tex]I = 3.91 \ A[/tex]
Generally the magnitude of the magnetic field is mathematically represented as
[tex]B = \frac{\mu_o * N * I}{L}[/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]
=> [tex]B = \frac{ 4\pi * 10^{-7} * 1740 * 3.91}{0.133}[/tex]
=> [tex]B = 0.0643 \ T[/tex]
