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GATE EC question library

Practise GATE EC Electronics and Communication previous year questions free. Browse by subject, syllabus topic, year and question type, with answers and available solutions.

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Official PYQ1998Networks, Signals and SystemsDiscrete-time SignalsMCQ · 1 mark
The transfer function of a zero-order-hold system is
Official PYQ1998Control SystemsMCQ · 1 mark
Consider a unity feedback control system with open-loop transfer function G(s)=Ks(s+1)\mathrm{G} (s)=\frac{\mathrm{K}}{s(s+1)}. The steady state error of the system due to a unit step input is
Official PYQ1998Control SystemsMCQ · 1 mark
The transfer function of a tachometer is of the form
Official PYQ1998Control SystemsMCQ · 1 mark
The number of roots of s3+5s2+7s+3=0s^3+5 s^2+7 s+3=0 in the left half of the ss-plane is
Official PYQ1998Networks, Signals and SystemsDiscrete-time SignalsMCQ · 1 mark
The ZZ-transform of the time function ∑k=0∞δ(n−k)\sum_{k=0}^{\infty} \delta(n-k) is
Official PYQ1998Electronic DevicesMCQ · 1 mark
A long specimen of pp-type semiconductor material
Official PYQ1998Analog CircuitsDiode CircuitsMCQ · 1 mark
The static characteristic of an adequately forward biased p−np-n junction is a straight line, if the plot is of
Official PYQ1998Analog CircuitsBJT and MOSFET AmplifiersMCQ · 1 mark
The fTf_{\mathrm{T}} of a BJT\text{BJT} is related to its gm,Cπg m, \mathrm{C}_\pi and Cμ\mathrm{C}_\mu as follows
Official PYQ1998Electronic DevicesMCQ · 1 mark
The electron and hole concentrations in a intrinsic semiconductor are nin_i and pip_i respectively. When doped with a pp-type material, these change to nn and pp, respectively. Then
Official PYQ1998Networks, Signals and SystemsCircuit AnalysisMCQ · 1 mark
The voltage across the terminals aa and bb in the figure is
Official PYQ1998Networks, Signals and SystemsCircuit AnalysisMCQ · 1 mark
The short-circuit admittance matrix o a two-port network is [0−1/21/20]\left[\begin{array}{cc} 0 & -1 / 2 \\ 1 / 2 & 0 \end{array}\right] The two-port network is
Official PYQ1998Control SystemsMCQ · 1 mark
The unit impulse response of a linear time-invariant system is the unit step function u(t)u(t). For t>0t>0, the response of the system to an excitation e−atu(t),a>0e^{-a t} u(t), a>0 will be
Official PYQ1998Networks, Signals and SystemsContinuous-time SignalsMCQ · 1 mark
A periodic signal x(t)x(t) of period T0T_0 is given by x(t)={1,∣t∣<T10,T1<∣t∣<T02x(t)= \begin{cases}1, & |t|<T_1 \\ 0, & T_1<|t|<\frac{T_0}{2}\end{cases} The d.c\text{d.c}. component of x(t)x(t) is
Official PYQ1998Networks, Signals and SystemsCircuit AnalysisMCQ · 1 mark
Superposition theorem is NOT\text{NOT} applicable to networks containing
Official PYQ1998Networks, Signals and SystemsCircuit AnalysisMCQ · 1 mark
The nodal method of circuit analysis is based on
Official PYQ1998Networks, Signals and SystemsContinuous-time SignalsMCQ · 1 mark
The trigonometric Fourier series of a periodic time function can have only
Official PYQ1998Engineering MathematicsCalculusMCQ · 1 mark
If f(t)=ωs2+ω2f(t)=\frac{\omega}{s^2+\omega^2}, then the value of lim⁡t→∞f(t)\lim _{t \rightarrow \infty} f(t)
Official PYQ1998Engineering MathematicsLinear AlgebraMCQ · 1 mark
The eigen values of the matrix A=[0110]A=\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] are
Official PYQ1998Networks, Signals and SystemsCircuit AnalysisMCQ · 1 mark
A network has 77 nodes and 55 independent loops. The number of branches in the network is
Official PYQ1998Networks, Signals and SystemsCircuit AnalysisMCQ · 1 mark
The parallel RLC circuit shown in the figure is in resonance. In this circuit