Galvanometer constant of tangent galvanometer depends upon earths magnetic field.

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Tangent galvanometer is an instrument used to measure the small currents in a circuit. The instrument consists of a circular coil of wire, usually made of copper, mounted on a horizontal axis. The coil is suspended between the poles of a permanent magnet, which creates a uniform magnetic field inside the coil. A thin, light magnetic needle is suspended at the center of the coil, parallel to the plane of the coil. The needle is free to rotate about a vertical axis, and it aligns itself with the magnetic field.

The principle of the tangent galvanometer is based on the fact that when a current-carrying wire is placed in a magnetic field, a force is exerted on the wire. The magnitude of this force depends on the strength of the magnetic field, the length of the wire, and the current passing through the wire. The direction of the force is perpendicular to both the magnetic field and the direction of the current.

The galvanometer constant of a tangent galvanometer is defined as the ratio of the magnetic field strength to the current required to produce a deflection of one tangent division on the scale. It is denoted by the symbol G.

G = B/I

B is the magnetic field strength; I is current required to produce deflection of one tangent division on scale

The galvanometer constant of a tangent galvanometer depends on the strength of the earth's magnetic field. The earth's magnetic field is not uniform, and its strength varies from place to place. The galvanometer constant of a tangent galvanometer is maximum when it is aligned with the direction of the earth's magnetic field. This is because the maximum force is exerted on the wire when it is perpendicular to the magnetic field, and the force is directly proportional to the magnetic field strength.

If the tangent galvanometer is not aligned with the direction of the earth's magnetic field, the galvanometer constant will be smaller. This is because the force exerted on the wire is not perpendicular to the magnetic field, and only the component of the force perpendicular to the field contributes to the deflection of the needle.

Therefore, to obtain accurate readings with a tangent galvanometer, it is necessary to align it with the direction of the earth's magnetic field. This can be done by using a compass or a declination instrument. The galvanometer constant can also be determined experimentally by measuring the deflection of the needle for different values of the current and the magnetic field strength, and then calculating the ratio B/I.

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