How Is the Sensitivity of a Ballistic Galvanometer Determined?

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SUMMARY

The sensitivity of a Ballistic galvanometer is determined by the formula Sensitivity = deflection/charge. In this case, a capacitor with a capacity of 3 microfarads charged to 2 volts discharges a total charge of 6 microcoulombs, resulting in a deflection of 24 divisions. Therefore, the sensitivity is calculated as 4 divisions per coulomb. The discussion clarifies that sensitivity is not defined as charge divided by deflection, as this would incorrectly imply infinite sensitivity for devices with no deflection.

PREREQUISITES
  • Understanding of capacitor charging and discharging principles
  • Familiarity with the concept of electric charge (coulombs)
  • Knowledge of galvanometers and their operational principles
  • Basic mathematical skills for calculating sensitivity
NEXT STEPS
  • Study the principles of capacitors and their applications in circuits
  • Learn about different types of galvanometers and their sensitivity measurements
  • Explore the mathematical derivation of sensitivity in electrical measurement devices
  • Investigate the impact of various factors on the performance of Ballistic galvanometers
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Students in electrical engineering, physics enthusiasts, and professionals involved in circuit design and measurement techniques will benefit from this discussion.

Amith2006
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Homework Statement


1) A capacitor of capacity 3 micro farad charged by a potential of 2 volt when discharged through a Ballistic galvanometer gives a deflection of 24 divisions. Determine the sensitivity of the Ballistic galvanometer.



Homework Equations





The Attempt at a Solution



The solution as given in my book is as follows:
Charge (Q) =Capacity x Potential difference
= 6 micro coulomb
Sensitivity= deflection/charge
= 24/6
= 4 division/coulomb
My question is: Isn’t sensitivity = charge/deflection?
 
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If you make it charge/deflection then a device which shows no deflection whatsoever no matter how high the charge has infinite sensitivity. :smile:
 

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