A uniform magnetic field makes an angle of 30o with the z axis. If the magnetic flux through a 1.0 m2 portion of the xy plane is 5.0 Wb then

Question

A uniform magnetic field makes an angle of 30o with the z axis. If the magnetic flux through a 1.0 m2 portion of the xy plane is 5.0 Wb then the magnetic flux through a 2.0 m2 portion of the same plane is:(a) 4.3 Wb
(b) 10 Wb
(c) 2.5 Wb
(d) 5.8 Wb
(e) 5 Wb

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Thanh Hà 4 years 2021-07-27T01:46:25+00:00 1 Answers 639 views 0

Answers ( )

  1. Dulcie
    0
    2021-07-27T01:47:53+00:00
    Reply

    Answer:

    (b) 10 Wb

    Explanation:

    Given;

    angle of inclination of magnetic field, θ = 30°

    initial area of the plane, A₁ = 1 m²

    initial magnetic flux through the plane, Φ₁ =  5.0 Wb

    Magnetic flux is given as;

    Φ = BACosθ

    where;

    B is the strength of magnetic field

    A is the area of the plane

    θ is the angle of inclination

    Φ₁ = BA₁Cosθ

    5 = B(1 x cos30)

    B = 5/(cos30)

    B = 5.7735 T

    Now calculate the magnetic flux through a 2.0 m² portion of the same plane

    Φ₂ = BA₂Cosθ

    Φ₂ = 5.7735 x 2 x cos30

    Φ₂ = 10 Wb

    Therefore, the magnetic flux through a 2.0 m² portion of the same plane is is 10 Wb.

    Option “b”

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