Two coils have the same number of circular turns and carry the same current. Each rotates in a magnetic field acting perpendicularly to its

Question

Two coils have the same number of circular turns and carry the same current. Each rotates in a magnetic field acting perpendicularly to its axis of rotation. Coil 1 has a radius of 5.6 cm and rotates in a 0.24-T field. Coil 2 rotates in a 0.44-T field. Each coil experiences the same maximum torque. What is the radius (in cm) of coil 2?

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Linh Đan 1 year 2021-09-02T01:58:56+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-09-02T02:00:40+00:00

    Answer:

    4.14 cm.

    Explanation:

    Given,

    For Coil 1

    radius of coil, r₁ = 5.6 cm

    Magnetic field, B₁ = 0.24 T

    For Coil 2

    radius of coil, r₂ = ?

    Magnetic field, B₂ = 0.44 T

    Using formula of maximum torque

    [tex]\tau_{max}= NIAB[/tex]

    Since both the coil experience same maximum torques

    now,

    [tex] NIA_1B_1 = NIA_2B_2[/tex]

    [tex]A_1B_1 = A_2B_2[/tex]

    [tex] r_1^2 B_1 = r_2^2 B_2[/tex]

    [tex] 5.6^2\times 0.24= r_2^2\times 0.44[/tex]

    [tex]r_2 = 4.14\ cm[/tex]

    Radius of the coil 2 is equal to 4.14 cm.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )