the vertical component of earth magnetic field at a place is root3 times the horizontal component.What is the value of angle of dip at this place?
well, tan pi/3 = root3
To find the value of the angle of dip at a place where the vertical component of the Earth's magnetic field (Bv) is √3 times the horizontal component (Bh), we can use the relationship between these components.
The angle of dip (θ) is the angle between the Earth's magnetic field lines and the horizontal plane at a particular location. It is given by the formula:
tan(θ) = Bv / Bh
Given that Bv = √3 * Bh, we can substitute this value into the formula:
tan(θ) = (√3 * Bh) / Bh
Simplifying, we have:
tan(θ) = √3
To find the value of θ, we need to determine the angle whose tangent is √3. We can use the inverse tangent (or arctan) function to do this.
θ = arctan(√3)
Evaluating this expression, we get:
θ ≈ 60 degrees
Therefore, the value of the angle of dip at this place is approximately 60 degrees.