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State how a moving coil galvanometer can be converted into an ammeter.

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Questions

State how a moving coil galvanometer can be converted into an ammeter.

How will you convert a moving coil galvanometer into an ammeter?

Briefly explain why and how a galvanometer is converted into an ammeter.

Answer in Brief
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Solution 1

  1. A moving-coil galvanometer is transformed into an ammeter by connecting a low-resistance S across the coil and lowering its effective resistance.
  2. A shunt is a parallel low resistance that shunts a portion of the current around the coil, as seen in the image below. As a result, the range of currents over which the metre can be used is expanded.

                           Ammeter
  3. Let I be the maximum current to be measured and Ig be the current for which the galvanometer of resistance G shows a full-scale deflection. Then, the shunt resistance S should be such that the remaining current I - Ig = IS is shunted through it.
  4. The potential difference across the galvanometer in the parallel combination is equivalent to the potential difference across the shunt.
    ∴ IgG = IsS = (I - Ig)S
    ∴ S = `("I"_"g"/("I" - "I"_"g"))"G"`
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Solution 2

Only small currents may be detected by a galvanometer. Thus, it is transformed into an ammeter to measure enormous currents. By joining a low resistance known as a shunt resistance in parallel with the galvanometer, it can be transformed into an ammeter.

Let S be the low resistance connected in parallel with the galvanometer, G be the resistance of the galvanometer, and I be the maximum current to be measured for full-scale deflection in the galvanometer. Since the galvanometer and shunt resistances are connected in parallel.

∴ The potential difference across 'S' = Potential difference across G

(I - lg)S = lgG

 

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Notes

Students should refer to the answer according to their questions and marks.

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2015-2016 (March) Set 1

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