• Science & Technology

  Magnetism

  Posted by Lucky Chauhan on June 23, 2023 at 4:43 pm

  The horizontal component and vertical components of Earth’s magnetic field at a place are 0.17 G and 0.26 G respectively. Calculate the angle of dip and resultant magnetic field.

  Kunal replied 8 months, 3 weeks ago 2 Members · 1 Reply
• 1 Reply

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  Kunal

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  January 18, 2024 at 2:00 pm

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  To calculate the angle of dip and resultant magnetic field, we can use the following formulas:

  1. Angle of Dip (θ):

  θ = tan^(-1)(Bv / Bh)

  where:

  Bh = horizontal component of Earth’s magnetic field

  Bv = vertical component of Earth’s magnetic field

  Plugging in the given values:

  Bh = 0.17 G

  Bv = 0.26 G

  θ = tan^(-1)(0.26 / 0.17)

  Calculating θ:

  θ ≈ 58.06 degrees

  2. Resultant Magnetic Field (B):

  B = √(Bh^2 + Bv^2)

  Plugging in the given values:

  Bh = 0.17 G

  Bv = 0.26 G

  B = √(0.17^2 + 0.26^2)

  Calculating B:

  B ≈ 0.31 G (rounded to two decimal places)

  Therefore, the angle of dip is approximately 58.06 degrees, and the resultant magnetic field is approximately 0.31 G.

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