GATE 2022 : Semi-Syllabus Quiz 1

The op amp circuit shown in the given figure is

Straight line asymptotic Bode magnitude plot for a certain system is shown in the given figure. What will be its transfer function?

For discrete time LTI system h(n) is the impulse response, If x(n) is the input then y(n) is the output.

For . Then y[2] is _____

The transistor as shown in the circuit is operating in

Consider an open loop transfer function of unity feedback system . Asymptote meet at the point is

A 1 μs pulse can be converted into a 1 ms pulse by using

For a given op amp, CMRR = 10⁷ and differential gain = 10⁸. What is the common mode gain of Op-Amp.

Find the value of Z₁₂ for the below network.

The trans-resistance amplifier will have

Given (135)_base x + (144)_base x = (323)_base. What is the value of base x?

An amplifier with mid band gain |A| = 500 has negative feedback |b| = 1/100. If upper cut-off without feedback were at 60 kHz, then with feedback it would become

In Fourier series expansion of periodic signal f(t)

Which of the following statements are correct ?

A sequential circuit is as shown below. If present states of A₁, A₂, are 1,0 and x = 1, what is its next state and output

Consider the circuit shown in the figure. The expression for the next, state Q(t + 1) is

A power amplifier with a gain of 100 ∠0° has an output of 12 V at 1.5 kHz along with a second harmonic content of 25 percent. A negative feedback is to be provided to reduce the harmonic content of the output ot 2.5 percent. What should be the gain of the feedback path and the level of signal input to the overall system, respectively?

The closed loop poles of a system are shown in figure below. The time taken to settle within 2% of tolerance is ______ (in sec)

The unit step response of a system with transfer function H(s) = is c(t).

If c(0) = 4 and c() = 5 then a×b is_________

For a unit step input u[n], a discrete-time LTI system produces an output signal (2δ[n +1] + δ[n] + δ[n-1] ). Let y[n] be the output of the system for an input . The value of y[0] is _____

The transistor switch as shown in figure has β = 120 V_CE(Sat) = 0.2V, R_C = 1.2 kΩ, and V_CC = 5V.

The output voltage when transistor switch is closed and the minimum base current needed to close the switch are, respectively.

What is the equivalent resistance R_ab in the given circuit?

The fundamental time period of is .

The state diagram of a sequential circuit shown below is a

The state space representation of a system is given by

Which of the follwing statements is/are true for given system

A two-port network is represented by

V₁ = 12 I₁ + 4 I₂

V₂ = 4 I₁ + 16 I₂

Which one of the following networks is represented by these equations.

What is the convolution y[n] = x[n]*h[n]: where h[n] = αⁿ u[n], h[n] = βⁿ u[n], α ≠ β,
α = 0.8, β = 0.9?