Answer:
Radius of the loop = [tex]5.065\times 10^{-3} m[/tex]
Explanation:
The magnetic field at the center of a circle is given by the formula
[tex]B= \frac{\mu I}{2B}\\\\[/tex]
where I current = 4.2A
Magnetic Field , B = [tex]5.21\times 10^{-4}[/tex]T
[tex]\mu[/tex] = [tex]4\pi\times 10^{-7}\times 4.2 H/m[/tex] ( permeability)
plugging in the parameters and evaluating, we have
[tex]\frac{4\times\pi\times10^{-7}\times 4.2 }{2\times5.21\times10^{-4} }[/tex]
= [tex]=5.065\times 10^{-3}[/tex]
The radius of the loop = [tex]5.065\times 10^{-3} m[/tex]