Point m is located a distance 2d from the midpoint between the two wires. find the magnitude of the magnetic field b1m created at point m by wire 1.

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]

Ver imagen kollybaba55

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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