During the measurement of voltage, the voltmeter responded with a 0.18-V change when the input was varied by 0.2 V. Find the sensitivity of the instrument.

concept:

Sensitivity(S) of instrument is defined as change in output with respect to change in input

S = \(\frac{dV_0}{dV_i}=\frac{Δ V_0}{Δ V_i}\)

Where

V₀ = Output voltage of instrument

V_i = Input voltage of instrument

Application:

Given:

ΔV₀ = 0.18 V

ΔV_i =0.2 V

S = \(\frac{0.18}{0.2}\) = 0.9

Important Points

•  For any Instrument, Even for a small change in input there should be a large change in output i.e sensitivity should be higher
•  For any disturbances in the system the output should not be affected much i.e sensitivity should be lower.