Scientific work is currently underway to determine whether weak oscillating magnetic fields can affect human health. For example, one study

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 72.5 Hz. If the diameter of a red blood cell is 7.60 µm, determine the maximum emf that can be generated around the perimeter of a cell in this field.

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Vân Khánh 2 months 2021-07-20T10:20:45+00:00 1 Answers 2 views 0

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    2021-07-20T10:22:34+00:00

    Given Information:

    Magnetic field = B = 1×10⁻³ T

    Frequency = f = 72.5 Hz

    Diameter of cell = d = 7.60 µm = 7.60×10⁻⁶ m

    Required Information:

    Maximum Emf = ?

    Answer:

    Maximum Emf = 20.66×10⁻¹² volts

    Explanation:

    The maximum emf generated around the perimeter of a cell in a field is given by

    Emf = BAωcos(ωt)

    Where A is the area, B is the magnetic field and ω is frequency in rad/sec

    For maximum emf cos(ωt) = 1

    Emf = BAω

    Area is given by

    A = πr²

    A = π(d/2)²

    A = π(7.60×10⁻⁶/2)²

    A = 45.36×10⁻¹² m²

    We know that,

    ω = 2πf

    ω = 2π(72.5)

    ω = 455.53 rad/sec

    Finally, the emf is,

    Emf = BAω

    Emf = 1×10⁻³*45.36×10⁻¹²*455.53

    Emf = 20.66×10⁻¹² volts

    Therefore, the maximum emf generated around the perimeter of the cell is 20.66×10⁻¹² volts

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