Define the angle of dip and the angle of declination.
(N/A) $1$. Angle of Dip (Magnetic Inclination): The angle of dip is the angle that the total magnetic field of the Earth makes with the surface of the Earth (horizontal direction) at a given location. It is $0^{\circ}$ at the magnetic equator and $90^{\circ}$ at the magnetic poles.
$2$. Angle of Declination: The angle of declination is the angle between the geographic meridian (true north-south line) and the magnetic meridian (the plane containing the magnetic axis of the Earth) at a specific point on the Earth's surface.
$2$. Angle of Declination: The angle of declination is the angle between the geographic meridian (true north-south line) and the magnetic meridian (the plane containing the magnetic axis of the Earth) at a specific point on the Earth's surface.
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The ratio between the total intensity of the magnetic field at the equator to the poles is:
Assume the dipole model for Earth's magnetic field $B$,which is given by:
$B_{V} = \text{vertical component of magnetic field} = \frac{\mu_{0}}{4\pi} \frac{2m \cos \theta}{r^{3}}$
$B_{H} = \text{horizontal component of magnetic field} = \frac{\mu_{0}}{4\pi} \frac{m \sin \theta}{r^{3}}$
where $\theta = 90^{\circ} - \text{latitude}$ as measured from the magnetic equator.
$(a)$ Find the loci of points for which $|\vec{B}|$ is minimum.
$B_{V} = \text{vertical component of magnetic field} = \frac{\mu_{0}}{4\pi} \frac{2m \cos \theta}{r^{3}}$
$B_{H} = \text{horizontal component of magnetic field} = \frac{\mu_{0}}{4\pi} \frac{m \sin \theta}{r^{3}}$
where $\theta = 90^{\circ} - \text{latitude}$ as measured from the magnetic equator.
$(a)$ Find the loci of points for which $|\vec{B}|$ is minimum.
Difficult
View SolutionThe angle of dip at a place on the earth gives:
Easy
View SolutionAt a certain place,the angle of dip is $30^{\circ}$ and the horizontal component of the Earth's magnetic field is $0.5 \ G$. The Earth's total magnetic field (in $G$) at that place is:
Consider the plane $S$ formed by the dipole axis and the axis of the Earth. Let $P$ be a point on the magnetic equator and in plane $S$. Let $Q$ be a point of intersection of the geographical and magnetic equators. Obtain the declination and dip angles at $P$ and $Q$.
Medium
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