List of top Measurements and Control Systems Questions asked in GATE BM

The Bode plot of a 2^nd order low pass filter is shown in the figure below. What is the frequency at which the attenuation is 80 dB ?

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: