GATE EE 2013 Question Paper (10-Feb-2013) (Shift 2)

A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as Rₛ = 300 Ω. Other bridge resistances are R₁ = R₂ = R₃ = 300 Ω. The maximum permissible current through the strain gauge is 20 mA. During certain measurement when the bridge is excited by maximum permissible voltage and the strain gauge resistance is increased by 1% over the nominal value, the output voltage V₀ in mV is

In the circuit shown below, the knee current of the ideal Zener diode is 10 mA. To maintain 5 V across R${}_L$, the Minimum value of R${}_L$ in Ω and the Maximum power rating of the Zener diode in mW, respectively are

The open-loop transfer function of a dc motor is given as: $\frac{\omega \left(s\right)}{V_a\left(s\right)}=\frac{10}{1+10s}$ . When connected in feedback as shown below, the approximate value of Kₐ that will reduce the time constant of the closed-loop system by one hundred times as compared to that of the open-loop system is

In the circuit shown below, if the source voltage V${}_S$ = 100∠53.13° V then the Thevenin’s equivalent voltage in Volts as seen by the load resistance R${}_L$ is

Three capacitors C₁, C₂ and C₃ whose values are 10 μF, 5 μF, and 2 μF respectively, have breakdown of 10 V, 5 V and 2 V respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be applied across the combination, and the corresponding total charge in μC stored in the effective capacitance across the terminals are respectively