List of top Measurements and Control Systems Questions on Expression of Precision

Independent voltage measurements \((\mu \pm \sigma)\) of three sensors where \(\mu\) and \(\sigma\) are the mean and standard deviation of the measurements, respectively are as follows: \(v_1 = 4.52 \pm 0.02 \, \text{V}, \, v_2 = 4.21 \pm 0.20 \, \text{V}, \, v_3 = 3.96 \pm 0.15 \, \text{V}\). The measurement uncertainty in \(v_1 + v_2 + v_3\) is ________ V (rounded off to two decimal places).

A moving coil voltmeter has an internal resistance of 50 \(\Omega\). The scale of the meter is divided into 100 equal divisions. When a potential of 1 V is applied to terminals of the voltmeter, a deflection of 100 divisions is obtained. However, it is desired that when a potential of 500 V is applied to the terminals, a deflection of 100 divisions should be obtained. The value of resistance that needs to be connected in series to achieve this is ________ \(\Omega\).

The block diagrams of an ideal system and a real system with their impulse responses are shown below. An auxiliary path is added to the delayed impulse response in the real system. For a unit impulse input ($x(t)=\delta(t)$) to both systems, gain $\beta$ is chosen such that $y(4T)$ is the same for both systems. The value of $\beta$ is _________.

For the balanced Owen-bridge circuit shown in the figure, the values of $L_x$ and $R_x$ are: