Question
Download Solution PDFThe unit of sensitivity of an instrument is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSensitivity:
- It is defined as the ratio of the changes in the output of an instrument to a change in the value of the quantity being measured.
- It denotes the smallest change in the measured variable to which the instrument responds.
\(Sensitivity\left( S \right) = \frac{{change{\rm{ }}in{\rm{ }}output}}{{unit{\rm{ }}change{\rm{ }}in{\rm{ }}input}} = \frac{{{\rm{\Delta }}output}}{{{\rm{\Delta input}}}}\)
- The sensitivity of an instrument is determined by dividing the sum of the resistance of the meter (Rm) and the series resistance (Rs), by the full-scale reading in volts.
Mathematically, sensitivity is expressed as:
\(Sensitivity=\frac{R_m+R_s}{E}\)
Expressing the above expression in units, we get:
\(Sensitivity=\frac{Ohms}{Volt}\)
Unit of instrument sensitivity is expressed in Ohm/Volt
Important Points
Sensitivity is also expressed as:
\(Sensitivity=\frac{1}{ampere}\)
So, sensitivity is said to be equal to the reciprocal of the full-scale deflection current.
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