Answer:
The magnitude of the magnetic field is
![B = 1.392 *10^(-6) \ T](https://img.qammunity.org/2021/formulas/physics/college/x5xxcbbdb75fygspqvt6ijvtkdxziir6eo.png)
Step-by-step explanation:
From the question we are told that
The distance of the position that is being considered to the conductor is
![d = 16 \ cm = 0.16 \ m](https://img.qammunity.org/2021/formulas/physics/college/qiywtrcxrg4ieoq2os7kxelsfni1vweve9.png)
The current flowing through conductor is
![I = 3.50 \ A](https://img.qammunity.org/2021/formulas/physics/college/684opoed6wqby45ubktcbp7so10blfshd9.png)
Generally the magnitude of the magnetic field due to a current carrying conductor is mathematically represented as
![B = (\mu_o I)/(2 \pi d)](https://img.qammunity.org/2021/formulas/physics/college/k885sh6t1d0zj2g0bbgw4pw46dh47nsvu6.png)
Where is the permeability of free space with value
![\mu_o = 4\pi * 10^(-7) N/A^2](https://img.qammunity.org/2021/formulas/physics/college/ztnybmnr41u8z02vwjg000ptuq1apre1jz.png)
substituting values
![B = ( 4\p *10^(-7) *3.50)/(2 * 3.142* 0.16)](https://img.qammunity.org/2021/formulas/physics/college/wxnf5ferkztjvoqmehrghsxe9utcrvsuj8.png)
![B = 1.392 *10^(-6) \ T](https://img.qammunity.org/2021/formulas/physics/college/x5xxcbbdb75fygspqvt6ijvtkdxziir6eo.png)