The current that will produce the given magnetic field strength is 4,250r ( r is the distance from the wire).
Magnetic field strength
The magnetic field strength at the center of the loop is calculated as follows;
B = (μ₀I)/(2πr)
where;
- B is magnetic field strength
- μ₀ is permeability of free space
- I is the current
- r is the distance from the wire
Solving for the current;
I = (2πrB)/(μ₀)
[tex]I = \frac{2\pi \times r \times 850 \times 10^{-6}}{4\pi \times 10^{-7}} \\\\I = 4,250 r[/tex]
Thus, the current that will produce the given magnetic field strength is 4,250r ( r is the distance from the wire).
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