The strength of the magnetic field, if the current is changed to 40 A, is 0.008 T.
Magnetic Field:
The region in a space where the magnetic force is experienced by the particles is known as a magnetic field.
Given data:
The magnitude of current flow is, I = 20 A.
The strength of the magnetic field is, B = 0.004 T.
The expression for the magnetic field around a circular wire of radius r is,
[tex]B = \dfrac{\mu_{0} \times I}{2 \pi r}[/tex] ................................................(1)
here, [tex]\mu_{0}[/tex] is the magnetic permeability of free space.
If the current becomes 40 A, then the new magnetic field is given as,
[tex]B' = \dfrac{\mu_{0} \times I'}{ 2 \pi r}[/tex] .................................................(2)
Taking the ratio of equation (2) and equation (1) as,
[tex]\dfrac{B'}{B} = \dfrac{I'}{I}\\\\ \dfrac{B'}{0.004} = \dfrac{40}{20}\\\\ B' = 0.008 \;\rm T[/tex]
Thus, we can conclude that the strength of the magnetic field, if the current is changed to 40 A, is 0.008 T.
Learn more about the magnetic field here:
https://brainly.com/question/7802337
