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At a certain location, the magnetic dip is 37° and the vertical component of Earth’s magnetic field is 6 × 10⁻⁵ T. Taking tan 37° = 3/4, what is the magnitude of Earth’s magnetic field there?

1. 7 × 10⁻⁵ T
2. 6 × 10⁻⁵ T
3. 5 × 10⁻⁵ T
4. 10⁻⁴ T

Correct answer: 10⁻⁴ T

Solution

The magnitude of Earth's magnetic field can be calculated using the relationship between the vertical component and the angle of dip. Given that the vertical component is 6 × 10⁻⁵ T and using the tangent of the dip angle, we find that the total magnetic field is approximately 10⁻⁴ T.

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