Answer:
The value is [tex]I= 0.0597\ A[/tex]
Explanation:
From the question we are told that
The length of the solenoid is [tex]l = 15 \ cm = 0.15 \ m[/tex]
The number of turns is [tex]N = 100[/tex]
The magnetic field of the earth is [tex]B = 5* 10^{-5} \ T[/tex]
Gnerally magnetic field is mathematically represented as
[tex]B = \frac{\mu_o * N * I }{ l }[/tex]
=> [tex]I= \frac{Bl}{ \mu_o *N }[/tex]
=> [tex]I= \frac{ 5 *10^{-5} * 0.15}{4\pi *10^{-7} *100 }[/tex]
=> [tex]I= 0.0597\ A[/tex]
