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

In the circuit shown below, the BJT has negligible collector to emitter saturation voltage and the diode drops negligible voltage across it under Forward bias. If V${}_{CC}$ is +5V, X and Y are digital signals with 0 V as logic 0 and V${}_{CC}$ as logic 1, then the Boolean expression for Z 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

A voltage 1000 sinωt Volts is applied across YZ. Assuming ideal diodes, the voltage measured across WX in Volts, is

The circuit below incorporates a permanent magnet moving coil milli-ammeter of range 1 mA having a series resistance of 10 kΩ. Assuming constant diode forward resistance of 50Ω, a forward diode drop of 0.7 V and infinite reverse diode resistance for each diode, the reading of the meter in mA is

Signal flow graph for a system is given below. Transfer function $\frac{Y\left(s\right)}{U\left(s\right)}$ for this system is –