sanatan sharma
Last Activity: 13 Years ago
CONVERSION OF GALVANOMETER
INTO AMMETER
Since Galvanometer is a very sensitive instrument therefore it can’t measure heavy currents. In order to convert a Galvanometer into an Ammeter, a very low resistance known as "shunt" resistance is connected in parallel to Galvanometer. Value of shunt is so adjusted that most of the current passes through the shunt. In this way a Galvanometer is converted into Ammeter and can measure heavy currents without fully deflected.
VALUE OF SHUNT RESISTANCE
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Let resistance of galvanometer = Rg and it gives full-scale deflection when current Ig is passed through it. Then, |
Vg = IgRg -------(i)
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Let a shunt of resistance (Rs) is connected in parallel to galvanometer. If total current through the circuit is I. |
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Then current through shunt: |
Is = (I-Ig)
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potential difference across the shunt: |
Vs= IsRs
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or Vs = (I – Ig)Rs -------(ii)
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But |
Vs =Vg (I - Ig)Rs = IgRg
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CONVERSION OF GALVANOMETER INTO VOLTMETER
Since Galvanometer is a very sensitive instrument, therefore it can not measure high potential difference. In order to convert a Galvanometer into voltmeter, a very high resistance known as "series resistance" is connected in series with the galvanometer.
VALUE OF SERIES RESISTANCE
Let resistance of galvanometer = Rg and resistance Rx (high) is connected in series to it. Then combined resistance = (Rg + Rx). |
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If potential between the points to be measured = V and if galvanometer gives full-scale deflection, when current "Ig" passes through it. Then, |
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V = Ig (Rg + Rx) V = IgRg + IgRx V – IgRg = IgRx Rx = (V – IgRg)/Ig
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Thus Rx can be found. |