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kobusy [5.1K]
3 years ago
10

IN a physics lab, a student discovers that the magnitude of the magnetic field at a certain distance from a long wire is 4.0μT.

If the wire carries a current of 5.0 A, what is the distance of the magnetic field from the wire?
Physics
1 answer:
Alinara [238K]3 years ago
7 0

Answer:

0.25 m

Explanation:

The intensity of the magnetic field around a current-carrying wire is given by:

B=\frac{\mu_0 I}{2 \pi r}

where

where

\mu_0 = 4\pi \cdot 10^{-7}Tm/A is the permeabilty of free space

I is the current

r is the distance from the wire

In this problem, we know:

B=4 \mu T=4 \cdot 10^{-6} T is the magnetic field

I=5.0 A is the current in the wire

Re-arranging the equation, we can find the distance of the field from the wire:

r=\frac{\mu_0 I}{2 \pi B}=\frac{(4\pi \cdot 10^{-7})(5.0 A)}{2\pi(4\cdot 10^{-6} T)}=0.25 m

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