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Find the minimum sensitivity

  1. Sep 20, 2011 #1
    The problem statement, all variables and given/known data
    11kd1r5.jpg

    The attempt at a solution
    First, we define sensitivity as the change of an instrument or transducer's output per unit change in the measured quantity.

    So to find the minimum sensitivity I simply plugged in the largest possible input (5.0 mm) into the equation:

    E = 9.5e-0.4(5.0)

    E = 1.286 V

    Is this correct?
     
  2. jcsd
  3. Sep 20, 2011 #2

    lanedance

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    Re: Sensitivity

    I would say no, that is in fact the "minimum voltage" you would expect to occur

    I would associate sensitivity with rate of change of voltage with distance
     
  4. Sep 20, 2011 #3
    Re: Sensitivity

    So I would first have to take the derivative, and then plug in 5.0?

    Doing this I would get an answer of -0.514 V/mm. So will my final answer be 0.514 V/mm, if I were to take the absolute value?
     
    Last edited: Sep 20, 2011
  5. Sep 20, 2011 #4

    lanedance

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    Re: Sensitivity

    if you can explain why you choose 5 (which is a reasonable choice), it sounds like a plan
     
  6. Sep 20, 2011 #5
    Re: Sensitivity

    I chose a displacement of 5.0 mm because it will give me the smallest rate of change, whereas if I chose a number closer to 0, I would get a higher rate of change, which means higher sensitivity.

    Also, do I keep the value negative, or take the absolute value? I don't think negative sensitivity makes sense.
     
  7. Sep 21, 2011 #6

    lanedance

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    Re: Sensitivity

    may have to check you notes, it may be defined as the magnitude of rate of change as you're hinting
     
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