Answer:
the required current is 0.12 A
Option b) 0.12 A is the correct answer
Explanation:
Given the data in the question,
to determine the current needed in the wire, we use the following relation;
B = μ₀n[tex]I[/tex]
[tex]I[/tex] = B / μ₀n
where μ₀ is the magnetic constant ( 4π × 10⁻⁷ T.m/A )
n is the number of turns ( 1 / 1mm[tex]\frac{10^{-3}m}{1 mm}[/tex]) = 1000 m⁻¹
B is magnitude ( 150μT ( [tex]\frac{10^{-6}m}{1uT}[/tex]) )
so we substitute
[tex]I[/tex] = [ 150μT ( [tex]\frac{10^{-6}m}{1uT}[/tex]) ] / [ ( 4π × 10⁻⁷ T.m/A ) × 1000 m⁻¹ ]
[tex]I[/tex] = [ 0.00015 ] / [ 0.00125 ]
[tex]I[/tex] = 0.12 A
Therefore, the required current is 0.12 A
Option b) 0.12 A is the correct answer
