Considerable scientific work is currently under way to determine whether weak os

Question

Considerable scientific work is currently under way to determine whether weak oscillating magnetic fields such as those found near outdoor electric power lines can affect human health. One study indicated that a magnetic field of magnitude 1.0 ? 10-3 T, oscillating at 60 Hz, might stimulate red blood cells to become cancerous. If the diameter of a red blood cell is 8.4

Considerable scientific work is currently under way to determine whether weak oscillating magnetic fields such as those found near outdoor electric power lines can affect human health. One study indicated that a magnetic field of magnitude 1.0 ? 10-3 T, oscillating at 60 Hz, might sti mu late red blood cells to become cancerous. If the diameter of a red blood cell is 8.4 mu m, determine the maxi mu m emf that can be generated around the perimeter of the cell if the magnetic field strength is 1.40 times 10-3 T.

Explanation / Answer

emf= e= -d(phi)/dt , phi = flux

flux= B.A , A= area = pi*r^2

=> e= - A.dB/dt

given that B is oclillating at 60 hz

let B = (1.4*10^-3)sin(2pi*60 t + k) , k= phase constant

=> dB/dt = (120*pi)*(1.4*10^-3)cos(120pi t +k)

=>dB/dt (max)= 120*pi*1.4*10^-3

=> e(max) = -A*(dB/dt(max))= 2.925*10^-11 V

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