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A galvanometer coil has a resistance of ...

A galvanometer coil has a resistance of `12 Omega` and the meter shows full scale deflection for a current of 3 mA. How will you convert the meter into a voltmeter of range 0 to 18 V ?

Text Solution

Verified by Experts

Here `R_G = 12 Omega , I_g = 3 mA = 3 xx 10^(-3)A` and voltmeter.s range V = 18 V
To convert galvanometer into a voltmeter of desired range, we should join a resistance R in series with the galvonometer, where
`R = V/(I_g) - R_G = 18/(3 xx 10^(-3)) - 12 = 6000 - 12 = 5988 Omega`.
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Knowledge Check

  • A galvanometer coil has a resistance of 15 Omega and the metre shows full scale deflection for a current of 4 mA. To convert the meter into a voltmeter of range 0 to 18 V, the required resistance is

    A
    `5885 Omega "in series"`
    B
    `4485 Omega "in series"`
    C
    `5885 Omega "in series"`
    D
    `4485 Omega "in series"`
  • A galvanometer coil has a resistance of 50 Omega and the meter shows full scale deflection for a current of 5 mA . This galvanometer is converted into a voltmeter of range 0 - 20 V by connecting

    A
    `3950Omega` in series with galvanometer
    B
    `4050Omega` in series with galvanometer
    C
    `3950Omega` in parallel with galvanometer
    D
    `4050Omega` in parallel with galvanometer
  • A galvanometer coil has a resistance of 50 Omega and the meter shows full scale deflection for a current of 5 mA. This galvanometer is converted into voltmeter of range 0-20 by connecting

    A
    3950 `Omega` in series with galvanometer
    B
    4050 `Omega` in series with galvanometer
    C
    3950 `Omega` in parallel with galvanometer
    D
    4050 `Omega` in parallel with galvanometer
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