At a certain place, the angle between the geographic meridian and the magnetic meridian is 58 minutes. At the same place, the vertical and the horizontal components of earth’s magnetic field are $(\frac{0.3}{\sqrt{3}}) \times 10^{- 4} Wb m^{- 2} and 0.3 \times 10^{- 4} Wb m^{- 2}$ respectively.
Find the angle of declination and angle of dip at the place.

Solution

Declination is defined as the angle between geographic meridian and magnetic meridian.

Given, angle between geographical meridian and magnetic meridian = 58 minutes
which, is the required angle of declination.

Also, angle of dip (δ) is given by

\tan δ = \frac{B_{V}}{B_{H}} = \frac{0.3}{\sqrt{3}} \times \frac{10^{- 4}}{0.3 \times 10^{- 4}} = \frac{1}{\sqrt{3}}

Thus,

δ = 30 ° .

Some More Questions From Magnetism and Matter Chapter

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The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism. What might be the ‘battery’ (i.e., the source of energy) to sustain these currents?

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The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past?

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The earth’s field departs from its dipole shape substantially at large distances (greater than about 30,000 km). What agencies may be responsible for this distortion?

A bar magnet of magnetic moment 1.5 JT^–1 lies aligned with the direction of a uniform magnetic field of 0.22 T.
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Magnetism And Matter

Some More Questions From Magnetism and Matter Chapter

Answer the following question:
The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism. What might be the ‘battery’ (i.e., the source of energy) to sustain these currents?

Answer the following question:
The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past?

Answer the following question:
The earth’s field departs from its dipole shape substantially at large distances (greater than about 30,000 km). What agencies may be responsible for this distortion?

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Entrance Exams Preparation

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Magnetism And Matter

Some More Questions From Magnetism and Matter Chapter

Answer the following question:The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism. What might be the ‘battery’ (i.e., the source of energy) to sustain these currents?

Answer the following question:The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past?

Answer the following question:The earth’s field departs from its dipole shape substantially at large distances (greater than about 30,000 km). What agencies may be responsible for this distortion?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Answer the following question:
The charged currents in the outer conducting regions of the earth's core are thought to be responsible for earth's magnetism. What might be the ‘battery’ (i.e., the source of energy) to sustain these currents?

Answer the following question:
The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth's field in such distant past?

Answer the following question:
The earth’s field departs from its dipole shape substantially at large distances (greater than about 30,000 km). What agencies may be responsible for this distortion?