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Certain bacteria (such as Aquaspirillum magnetotacticum) tend to swim towards th

ID: 1281480 • Letter: C

Question

Certain bacteria (such as Aquaspirillum magnetotacticum) tend to swim towards the earth's geographic north pole because they contain tiny particles, called magnetosomes, that are sensitive to a magnetic field. If a transmission line carrying 100 A is laid underwater, at what range of distances would the magnetic field from this line be great enough to interfere with the migration of these bacteria? (Assume that a field less than 5.0% of the earth's field would have little effect on the bacteria. Take the earth's field to be 5.0*10^-5 T and ignore the effects of the seawater).

Explanation / Answer

Minimum Magnetic field Strength

Bmin=5%*Bearth

Bmin=(5/100)*(5*10-5)=2.5*10-6 T

Magentic field due to current carrying wire

B=uo*I/2pir

=>r=uo*I /2piB=/(4pi*10-7)*100/2pi*(2.5*10-6)

r=8 m