Medical devices implanted inside the body are often powered using transcutaneous energy transfer (TET), a type of wireless charging using a

Question

Medical devices implanted inside the body are often powered using transcutaneous energy transfer (TET), a type of wireless charging using a pair of closely spaced coils. And emf is generated around a coil inside the body by varying the current through a nearby coil outside the body, producing a changing magnetic flux. Calculate the average induced emf, of each 10-turn coil has a radius of 1.50 cm and the current in the external coil varies from its maximum value of 10.0 A to zero in 6.25 x10-6s.

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Vân Khánh 4 years 2021-09-01T01:59:02+00:00 1 Answers 11 views 0

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  1. ngochoa
    0
    2021-09-01T02:00:30+00:00
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    Answer:

    0.475\ \text{V}

    Explanation:

    n = Number of turns = 10

    r = Radius = 1.5 cm

    I = Current = 10 A

    t = Time = 6.25\times 10^{-6}\ \text{s}

    \mu_0 = Vacuum permeability = 4\pi\times 10^{-7}\ \text{H/m}

    Magnetic field is given by

    B=\dfrac{\mu_0I}{2r}\\\Rightarrow B=\dfrac{4\pi 10^{-7}\times 10}{2\times 1.5\times 10^{-2}}\\\Rightarrow B=0.00042\ \text{T}

    EMF is given by

    \varepsilon=\dfrac{nBA}{t}\\\Rightarrow \varepsilon=\dfrac{10\times 0.00042\times \pi (1.5\times 10^{-2})^2}{6.25\times 10^{-6}}\\\Rightarrow \varepsilon=0.475\ \text{V}

    The average induced emf is 0.475\ \text{V}.

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