Comprehension
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.
  • use of soft iron core which increases the magnetic field.
  • radial magnetic field
  • hair spring which provides the counter torque
  • eddy current in the iron core which causes damping
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The Correct Option is B

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Question: 2

The best way to increase current sensitivity of a galvanometer is by

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Current sensitivity: \[ S_i=\frac{NBA}{C} \] Increase \(N\), \(B\), \(A\) and decrease \(C\) to obtain higher sensitivity.
  • increasing number of turns of the coil
  • 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 is B

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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.
  • \(1.0\,\text{N m}\)
  • \(2.0\,\text{N m}\)
  • \(0.50\,\text{N m}\)
  • \(0.25\,\text{N m}\)
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The Correct Option is D

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Question: 4

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.
  • \(4015\,\Omega\)
  • \(3985\,\Omega\)
  • \(415\,\Omega\)
  • \(385\,\Omega\)
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The Correct Option is B

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Question: 5

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. \[ S=\frac{I_gG}{I-I_g} \]
  • \(0.05\,\Omega\) should be connected in series with it.
  • \(0.05\,\Omega\) should be connected in parallel with it.
  • \(0.01\,\Omega\) should be connected in parallel with it.
  • \(0.01\,\Omega\) should be connected in series with it.
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The Correct Option is C

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