A galvanometer is used to detect or/and measure small currents in an electrical circuit. It essentially works on the fact that a current-carrying coil experiences a deflecting torque when placed in a magnetic field. This deflection in the coil can be measured and it is related to the current flowing in the coil, the number of turns in the coil, area of the coil and the magnetic field. A hair spring attached to the coil provides a counter torque and helps in measuring the deflection. A galvanometer can be converted to an ammeter or a voltmeter of desired range by using suitable resistances.
Question: 1
The torque on the coil remains constant irrespective of the coil's orientation during rotation due to
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A radial magnetic field ensures
\[
\tau = NBAI
\]
and makes galvanometer deflection directly proportional to current.
increasing area of coil and magnetic field strength
decreasing area of coil and magnetic field strength
increasing torsional constant of the hair spring
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The Correct Option isB
Solution and Explanation
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Question: 3
A moving coil galvanometer has a coil with area \(4.0\times10^{-3}\,\text{m}^2\) and number of turns \(50\). The coil is rotating in a magnetic field of \(0.25\,\text{T}\). The torque acting on the coil when a current of \(5\,\text{A}\) passes through it is
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For a radial magnetic field,
\[
\tau = NBAI.
\]
Always use this formula directly for torque calculations in galvanometers.
A galvanometer coil has a resistance of \(15\,\Omega\) and the meter shows full scale deflection for a current of \(3\,\text{mA}\). The value of resistance required to convert it into a voltmeter of range \((0-12\,V)\) is
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To convert a galvanometer into a voltmeter,
\[
R=\frac{V}{I_g}-G
\]
where \(R\) is connected in series with the galvanometer.
A galvanometer with coil of resistance \(20\,\Omega\) shows full scale deflection for a current of \(5\,\text{mA}\). To convert it into an ammeter of range \((0-10\,A)\), a resistance of
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To convert a galvanometer into an ammeter, a low resistance called shunt is connected in parallel.
\[
S=\frac{I_gG}{I-I_g}
\]