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Galvanometer question

  1. Jun 13, 2005 #1
    Hi; Could someone please help me with the following question: If the restoring spring of a galvanometer weakens by 26.4% over the years, what current will give full-scale deflection if it originally required 36.8uA? Thanks for your help.
     
  2. jcsd
  3. Jun 14, 2005 #2

    OlderDan

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    You need to make some assumption here about the construction of a galvanometer. I am going to assume you have an ideal case where the angular deflection of the needle is directly proportional to the current because the magnetic field is constructed to achieve that condition, as illustrated here

    http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/galvan.html

    You can then write a direct variation equation that says

    Deflection angle = kI

    The "weakening of the spring" is saying that k is diminished by 26.4%. So what has to happen to I to achieve the former deflection?
     
  4. Jun 14, 2005 #3
    Are you saying to do 0.264 x 36.8E-6? Because that doesnt give me the right answer. Thanks.
     
  5. Jun 14, 2005 #4

    OlderDan

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    No. To have the same deflection angle, the product of k times I must not change. If k is reduced by some fraction, the current is going to have to increase. Let k' and I' be the "new" values for the weakened spring and k and I be the "old" values that gave the same deflection. Then

    k'I' = kI

    A little bit of algebra from here will get you to the answer.
     
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