Who first used the properties of a magnet to show direction,and why?

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(N/A) thin long piece of a magnet,when suspended freely,points in the north-south direction.
When it is placed on a piece of cork and allowed to float in still water,it also shows the north-south direction.
The name 'lodestone' (or 'loadstone') given to a naturally occurring ore of iron,magnetite,means 'leading stone'.
The first use of magnets was made by the Chinese people to determine direction while traveling at sea.
Caravans crossing the Gobi desert also employed magnetic needles.
$A$ Chinese legend narrates the tale of the victory of the emperor Huang-ti about four thousand years ago,which he owed to his craftsmen (engineers).
These engineers built a chariot on which they placed a magnetic figure with arms outstretched. The figure swiveled around so that the finger of the statuette on it always pointed south. With this chariot,Huang-ti's troops were able to attack the enemy from the rear in thick fog and to defeat them.

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Answer the following questions:
$(a)$ The earth's magnetic field varies from point to point in space. Does it also change with time? If so,on what time scale does it change appreciably?
$(b)$ The earth's core is known to contain iron. Yet geologists do not regard this as a source of the earth's magnetism. Why?
$(c)$ 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?
$(d)$ 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?
$(e)$ 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?
$(f)$ Interstellar space has an extremely weak magnetic field of the order of $10^{-12}\; T$. Can such a weak field be of any significant consequence? Explain.

If $\theta_1$ and $\theta_2$ are the apparent angles of dip observed in two vertical planes at right angles to each other,then the true angle of dip $\theta$ is given by:

At which place does the Earth's magnetism become horizontal?

Lines which represent places of constant angle of dip are called

The magnetic field of the Earth at the equator is approximately $4 \times 10^{-5} \, T$. The radius of the Earth is $6.4 \times 10^6 \, m$. Then the dipole moment of the Earth will be nearly of the order of:

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