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 1.00×10^−3 T oscillating sinusoidally at 75.0 Hz.If the diameter of a red blood cell is 7.40 μm, determine the maximum emf that can be generated around the perimeter of a cell in this field

Answer 1

`2.02672* 10^(-11)\ V`

Step-by-step explanation:

f = Frequency = 75 Hz

B = Magnetic field =
`1* 10^(-3)\ T`

d = Diameter of cell =
`7.4\ \mu m`

t = Time taken

`\omega` = Angular frequency

The expression of emf is

`E=NAB\omega sin\omega t`

Emf is maximum when
`sin\omega t=1` and N = number of turns = 1

`E_m=AB\omega\\\Rightarrow E_m=\pi \left((d)/(2)\right)^2 * B * 2\pi* f\\\Rightarrow E_m=\pi \left((7.4* 10^(-6))/(2)\right)^2* 1* 10^(-3)* 2\pi* 75\\\Rightarrow E_m=2.02672* 10^(-11)\ V`

The maximum emf that can be generated around the perimeter of a cell in this field is
`2.02672* 10^(-11)\ V`