If you secure a refrigerator magnet about 2mmfrom the metallic surface of a refrigerator door and then move the magnet sideways, you can fee

Question

If you secure a refrigerator magnet about 2mmfrom the metallic surface of a refrigerator door and then move the magnet sideways, you can feel a resistive force, indicating the presence of eddy currents in the surface.

A)Estimate the magnetic field strength Bof the magnet to be 5 mTand assume the magnet is rectangular with dimensions 4 cmwide by 2 cmhigh, so its area A is 8 cm2. Now estimate the magnetic flux ΦB into the refrigerator door behind the magnet.
Express your answer with the appropriate units.

B)If you move the magnet sideways at a speed of 2 cm/s, what is a corresponding estimate of the time rate at which the magnetic flux through an area A fixed on the refrigerator is changing as the magnet passes over? Use this estimate to estimate the emf induced under the rectangle on the door’s surface.
Express your answer with the appropriate units.

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Mộc Miên 4 years 2021-09-02T00:00:06+00:00 1 Answers 24 views 0

Answers ( )

  1. minhkhang
    0
    2021-09-02T00:01:22+00:00
    Reply

    Answer:

    (A) 4* 6 ^ ⁻6 T m² (B) 2 * 10 ^ ⁻6 v

    Explanation:

    Solution

    Given that:

    A refrigerator magnet about = 2 mm

    The estimated magnetic field strength of the magnet is = 5 m T

    The Area = 8 cm²

    Now,

    (A) The magnetic flux ΦB = BA

    Thus,

    ΦB  = (5 * 10^⁻ 3) ( 4 * 10 ^⁻2) * ( 2 * 10^ ⁻2) Tm²

    So,

    ΦB =  4* 6 ^ ⁻6 T m²

    (B)By applying Faraday’s Law we have the following formula given below:

    Ε = Bℓυ

    Here,

    ℓ = 2 cm the same as 2 * 10 ^⁻2 m

    B = 5 m T = 5 * 10 ^ ⁻3 T

    υ = 2 cm/s  = 2 * 10 ^ ⁻2 m/s

    Thus,

    Ε = (5 * 10 ^ ⁻3 T) *  (2 * 10 ^ ⁻2) (2 * 10 ^ ⁻2) v

    E =2 * 10 ^ ⁻6 v

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