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

The open-loop transfer function of a dc motor is given as $\frac{\omega (s)}{V_a(s)}=\frac{10}{1+10s}$ 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

Two magnetically uncoupled inductive coils have Q factors q₁ and q₂ at the chosen operating frequency. Their respective resistances are R₁ and R₂. When connected in series, the effective Q factor of the series combination at the same operating frequency is

Signals from fifteen thermocouples are multiplexed and each one is sampled once per second with a 16-bit ADC. The digital samples are converted by a parallel to serial converter to generate a serial PCM signal. This PCM signal is frequency modulated with FSK modulator with 1200 Hz as 1 and 960 Hz as 0. The minimum band allocation required for faithful reproduction of the signal by the FSK receiver without considering noise is

The impulse response of a continuous time system is given by h(t) = δ (t – 1) + δ (t – 3) . The value of the step response at t = 2 is

In the circuit shown below, the knee current of Ideal Zener diode is 10 mA. To maintain 5 volts across the load R${}_L$, the minimum value of R${}_L$ in Ω’s and the minimum power rating of the Zener diode in mw, respectively are ________