A tangent galvanometer is used for detection and measurement...

A tangent galvanometer is used for detection and measurement of low electric currents. It is based on tangent law in magnetism, according to which $F=G \tan \theta$, where $\theta$ is angle with $H$ made by a magnet suspended freely under the combined effect of $H$ and $(F \perp H) .$ Now, $F=\frac{\mu_{0}}{4 \pi} \frac{2 \pi n I}{r}$, where $n$ is number of turns in the coil of radius, $r$ earrying current $I$. From, $F=H \tan \theta$, we get $$ I=\frac{2 r H}{\mu_{0} n} \tan \theta=K \tan \theta $$ where $K$ is called reduction factor of tangent galvanometer. What is represented by $F$ in the relation $F=H \tan \theta ?$ [a) $F$ is magnetic field of earth (b) $F$ is magnetic field of bar magnet (c) $F$ is magnetic ficld due to cument in coil of tangent galvanometer (d) None of the above

A tangent galvanometer is used for detection and measurement of low electric currents. It is based on tangent law in magnetism, according to which $F=G \tan \theta$, where $\theta$ is angle with $H$ made by a magnet suspended freely under the combined effect of $H$ and $(F \perp H) .$ Now, $F=\frac{\mu_{0}}{4 \pi} \frac{2 \pi n I}{r}$, where $n$ is number of turns in the coil of radius, $r$ earrying current $I$. From, $F=H \tan \theta$, we get $$ I=\frac{2 r H}{\mu_{0} n} \tan \theta=K \tan \theta $$ where $K$ is called reduction factor of tangent galvanometer.
What is represented by $F$ in the relation $F=H \tan \theta ?$
[a) $F$ is magnetic field of earth
(b) $F$ is magnetic field of bar magnet
(c) $F$ is magnetic ficld due to cument in coil of tangent galvanometer
(d) None of the above

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Key Concepts

Tangent Law of Magnetism

This law explains the relationship between the magnetic field acting perpendicularly to a reference field and the deflection angle of a magnetic needle. The tangent of the angle is proportional to the ratio of the perpendicular magnetic field to the reference field, allowing the measurement of one field when the other is known.

Tangent Galvanometer

A tangent galvanometer is an instrument used to measure low electric currents by observing the deflection of a magnetic needle. The device works on the principle that the magnetic field produced by a current-carrying coil can be related to the Earth's magnetic field through the observed angle, making current measurement possible by applying the tangent law.

Magnetic Field due to a Current-Carrying Coil

This concept involves the magnetic field generated by an electric current flowing through a coil of wire. The field magnitude can be mathematically expressed using factors such as the current, number of turns in the coil, and the coil's radius. In the context of a tangent galvanometer, this field is the one that causes the deflection of the needle and is used in conjunction with the Earth’s magnetic field for current measurements.

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