If $B$ is the total intensity of earth's magnetic field, $B_{H}$ is the horizontal component of earth's magnetic field and $B_{V}$ is the vertical component of earth's magnetic field, then which one of the following represents the correct relation?

B = B_{H} + B_{V}

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B = B_{V} \times B_{H}

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B = \sqrt{B_{H}^{2} + B_{V}^{2}}

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B = \frac{B_{V}}{B_{H}}

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Solution

The correct option is D $B = \sqrt{B_{H}^{2} + B_{V}^{2}}$
The total intensity of earth's magnetic field at a place is the resultant of horizontal component and vertical component of earth's magnetic field at that point i.e.,
$B^{2} = B_{H}^{2} + B_{V}^{2}$
or $B = \sqrt{B_{H}^{2} + B_{V}^{2}}$ .

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Similar questions

Q. If B_H and B_V are the horizontal and vertical components of earth's magnetic field, then at magnetic poles

यदि पृथ्वी के चुम्बकीय क्षेत्र के क्षैतिज तथा ऊर्ध्वाधर घटक क्रमशः B_H तथा B_V हैं, तब चुम्बकीय ध्रुवों पर

Q. Assume the dipole model for earth's magnetic field B which is given by the vertical component of magnetic field,

B_{v} = \frac{μ_{0}}{4 π} \frac{2 m c o s θ}{r^{3}}

and the horizontal component of magnetic field is

B_{H} = \frac{μ_{0}}{4 π} \frac{m s i n θ}{r^{3}}

where

θ = 90^{0}

- latitude as measured from magnetic equator, then the loci of point for which dip angle is

45^{0}

Q. At a place horizontal and vertical components of earth's magnetic field are B_H = 1 G, 5° east of north; B_V = 1 G, vertical upwards.

The inclination and declination at the given place are respectively

किसी स्थान पर पृथ्वी के चुम्बकीय क्षेत्र के क्षैतिज तथा ऊर्ध्वाधर घटक क्रमशः B_H = 1 G, उत्तर से 5° पूर्व; B_V = 1 G, ऊर्ध्वाधर ऊपर की ओर हैं।

दिए गए स्थान पर आनति तथा अवनति क्रमशः हैं

The angle of the dip at a place is 40.6 $^{o}$ and the vertical component of the earths magnetic field $B_{V} = 6 \times 10^{- 5} T$ . The total intensity of the earth's magnetic field at this place is:

Q. The relation between

B_{v}, B_{h}

and B is _________.

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If B is the total intensity of earth's magnetic field, BH is the horizontal component of earth's magnetic field and BV is the vertical component of earth's magnetic field, then which one of the following represents the correct relation?

The correct option is D B=√B2H+B2VThe total intensity of earth's magnetic field at a place is the resultant of horizontal component and vertical component of earth's magnetic field at that point i.e.,B2=B2H+B2Vor B=√B2H+B2V.

If $B$ is the total intensity of earth's magnetic field, $B_{H}$ is the horizontal component of earth's magnetic field and $B_{V}$ is the vertical component of earth's magnetic field, then which one of the following represents the correct relation?

The correct option is D $B = \sqrt{B_{H}^{2} + B_{V}^{2}}$
The total intensity of earth's magnetic field at a place is the resultant of horizontal component and vertical component of earth's magnetic field at that point i.e.,
$B^{2} = B_{H}^{2} + B_{V}^{2}$
or $B = \sqrt{B_{H}^{2} + B_{V}^{2}}$ .