GATE EE 2017 Question Paper (11-Feb-2017) (Shift 2)

Which of the following systems has maximum peak overshoot due to a step input?

For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has β = 29 and V${}_{BE}$ = 0.7 V when the B-E junction is forward biased.



For this circuit, the value of $\frac{R_B}{R}$ is

For the circuit shown below, assume that the OPAMP is ideal.



Which one of the following is TRUE?

The figure below shows a half-bridge voltage source inverter supplying an RL-load with R = 40 Ω and $L=\left(\frac{0.3}{\pi }\right)H$. The desired fundamental frequency of the load voltage is 50 Hz. The switch control signals of the converter are generated using sinusoidal pulse width modulation with modulation index M = 0.6. At 50 Hz, the RL-load draws an active power of 1.44 kW. The value of DC source voltage V${}_{DC}$ in volts is

A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of var {Y}, where var{.} denotes the variance, equals.