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.
Calculate Dip Angle and Resultant Earth’s Magnetic Field
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.
– Written By Kidpid Team
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.
– Written By Kidpid Team
