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Scientific work is currently underway to determine whether weak oscillating magn

ID: 1614236 • Letter: S

Question

Scientific work is currently underway to determine whether weak oscillating magnetic fields can affect human health. For example, one study found that drivers of trains had a higher incidence of blood cancer than other railway workers, possibly due to long exposure to mechanical devices in the train engine cab. Consider a magnetic field of magnitude 1.00 times 10^-3 T oscillating sinusoidal at 50.5 Hz. If the diameter of a red blood cell is 7.00 mu m, determine the maximum emf that can be generated around the perimeter of a cell in this field. _____________ V

Explanation / Answer

given

f = 50.5 Hz

diameter is d = 7 X 10-6 m

B = 1 X 10-3 T

using equation

Emax = N A B sint

here sint = 1 because emf is maximum

and N = 1

Emax = N A B

Emax = A B

but A = 3.14 X ( d / 2 )2

A = 3.14 X ( 7 X 10-6 / 2 )2

A = 3.84 X 10-11 m2  

and

= 2 X 3.14 X 50.5 = 317.14 rad/sec

Emax = 3.84 X 10-11 X 1 X 10-3 X 317.14

Emax = 1.217 X 10-11 volts

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