The small currents in axons corresponding to nerve impulses produce measurable magnetic fields. a typical axon carries a peak current of 0.040 μa. part a what is the strength of the field at a distance of 1.2 mm

Respuesta :

We can see the axon as a current-carrying wire. The magnetic field produced by a current-carrying wire is given by
[tex]B(r) = \frac{\mu_0 I}{2 \pi r} [/tex]
where
[tex]\mu_0 = 4 \pi \cdot 10^{-7} Tm/A[/tex] is the vacuum permeability
I is the current in the wire
r is the radial distance from the wire at which the field is calculated

The current in the axon is 
[tex]I=0.040 \mu A=0.040 \cdot 10^{-6} A[/tex], 
therefore the magnetic field strength at distance
[tex]r=1.2 mm=1.2 \cdot 10^{-3}m[/tex] 
from the axon is
[tex]B= \frac{\mu_0 I}{2 \pi r}= \frac{(4 \pi \cdot 10^{-7} Tm/A)(0.040 \cdot 10^{-6} A)}{2 \pi (1.2 \cdot 10^{-3} m)}=6.67 \cdot 10^{-6} T = 6.67 \mu T [/tex]
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