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 1.10 ? 10?3 T, oscillating at 60 Hz, might stimulate red blood cells to become cancerous. If the diameter of a red blood cell is 8.1 ?m, determine the maximum emf that can be generated around the perimeter of the cell.

Please explain your answer legibly and step by step.

Explanation / Answer

EMF is given by:

EMF = -N*d(phi)/dt

phi = B.A = B*A*cos wt

d(phi)/dt = -B*A*w*sin wt

EMF = -N*(-B*A*w*sin wt)

EMF = N*A*B*w*sin wt

EMF will be max when

sin wt = 1

EMF_max = N*A*B*w

N = 1 turn

A = pi*r^2

d = diameter = 8.1*10^-6 m

B = 1.1*10^-3 T

w = 2*pi*f = 2*pi*60

So

EMF_max = 1*pi*(4.05*10^-6)^2*1.1*10^-3*2*pi*60

EMF_max = 2.14*10^-11 V

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