Respuesta :
Note: The diagram referred to in the question is attached here as a file.
Answer:
The magnitude of the magnetic field is [tex]B = \frac{0.071 \mu I}{d}[/tex]
Explanation:
The magnetic field can be determined by the relationship:
[tex]B = \frac{\mu I}{2\pi R}[/tex]...............(1)
Were I is the current flowing through the wires
The distance R from point 1 to m is calculated using the pythagora's theorem
[tex]R = \sqrt{d^{2} + (2d)^{2} }[/tex]
[tex]R = \sqrt{5d^{2} } \\R = d\sqrt{5}[/tex]
Substituting R into equation (1)
[tex]B = \frac{\mu I}{2\pi d\sqrt{5} }[/tex]
[tex]B = \frac{0.071 \mu I}{d}[/tex]

The magnitude of the magnetic field b1m created at point m by wire 1 is μI / 2dπ√5
Magnetic field based problem:
What information do we have?
Distance from midpoint = 2d
r = √d² + (2d)²
r = √d² + 4d²
r = √5d²
r = d√5
Magnetic field = B1m = μI / 2πr
Magnetic field = B1m = μI / 2π(d√5)
Magnetic field = B1m = μI / 2dπ√5
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