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27 February, 06:10

A technician wearing a metal watch with a resistance of 0.0200 Ω that encloses an area of 0.00500 m2. The technician is in the presence of a uniform magnetic field with a magnitude of 4.40 T directed perpendicular to the plane of the watch. The magnetic field then drops to a magnitude of 1.32 T (in the same direction) in a time of 22.0 ms.

a. Find the current induced in the bracelet.

b. Find the power (P) delivered to the bracelet.

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  1. 27 February, 09:43
    0
    Initial magnetic flux = magnetic field x area

    = 4.4 x 5 x 10⁻³

    = 22 x 10⁻³ weber

    Final magnetic flux

    = 1.32 x 5 x 10⁻³

    = 6.6x 10⁻³ weber

    change in magnetic flux = 15.4 x 10⁻³

    emf induced = change in flux / time

    = 15.4 x 10⁻³ / 22 x 10⁻³

    =.7 V

    current in bracelet = emf / resistance

    =.7 /.02

    = 35 A

    b)

    power = volt induced x current

    =.7 x 35

    = 24.5 W.
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