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  • Posted by Lucky on June 23, 2023 at 4:42 pm

    The horizontal component and vertical components of Earth’s magnetic field at a place are 0.15 G and 0.26 G respectively. Calculate the angle of dip and resultant magnetic field.

    Kunal replied 5 months ago 2 Members · 1 Reply
  • 1 Reply
  • Kunal

    Member
    January 21, 2024 at 5:49 pm
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    To calculate the angle of dip and resultant magnetic field, we can use the following formulas:

    1. The angle of dip (θ) can be calculated using the equation:

    tan(θ) = (vertical component)/(horizontal component)

    2. The resultant magnetic field (B) can be calculated using the equation:

    B = √[(horizontal component)^2 + (vertical component)^2]

    Let’s calculate the values:

    Horizontal component (H) = 0.15 G

    Vertical component (V) = 0.26 G

    1. angle of dip (θ):

    tan(θ) = V / H

    tan(θ) = 0.26 G / 0.15 G

    tan(θ) ≈ 1.7333

    θ ≈ tan^(-1)(1.7333)

    θ ≈ 61.87 degrees

    Therefore, the angle of dip is approximately 61.87 degrees.

    2. Resultant magnetic field (B):

    B = √[(H^2) + (V^2)]

    B = √[(0.15 G)^2 + (0.26 G)^2]

    B = √[0.0225 G^2 + 0.0676 G^2]

    B = √0.0901 G^2

    B ≈ 0.300 G

    Therefore, the resultant magnetic field is approximately 0.300 G.

    So, the angle of dip is approximately 61.87 degrees, and the resultant magnetic field is approximately 0.300 G.

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