Respuesta :
So we need to find the formula for magnetic field B using the current (I) and the distance from the probe (d). So, We know that the stronger the current I, the stronger the magnetic field B. That tells us that the I and B are proportional. Also we know that the strength of the magnetic field B is weaker as the distance d of the probe increases. That tells us that B and d are inversely proportional. So our formula should have B=(I/d)*c where c is a constant of proportionality. c=μ₀/2π where μ₀ is the permeability of free space. So finally our formula is B=(μ₀I)/(2πd).
The strength of the induced field is the number of magnetic flux lines on a unit area passing perpendicular to the given line direction.it is given by the formula [tex]B= \frac{u_0}{2\pi d}[/tex].
What is magnetic field strength?
The number of magnetic flux lines on a unit area passing perpendicular to the given line direction is known as induced magnetic field strength .it is denoted by B.
given,
(I) is the current
d is the distance from the probe
B is the induced magnetic field
As we know that current is directly propotional to the induced magnetic field greater the current I, the greater the magnetic field B.
B ∞ I
When the probe's distance increases the magnetic field B becomes weaker. Hence B and d are inversely proportional propotional to each other.
B ∞ 1/d
As a result,
[tex]\rm{B=\frac{I}{d} \times c[/tex]
Where c is a proportionality constant. which is given by [tex]C = \frac{u_0}{2\pi}[/tex]
Where [tex]\rm{u_0}[/tex] is free space permeability
So we get the formula:
[tex]B = \frac{u_0}{2\pi d}[/tex]
hence the obtained formula will be [tex]B = \frac{u_0}{2\pi d}[/tex]
To learn more about the induced magnetic field refer to the link;
https://brainly.com/question/2248956
