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Magnetism
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.
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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. 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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