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Magnetism
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.
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1 Reply
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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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