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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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20 on this page
Official PYQ2015Engineering MathematicsLinear AlgebraMCQ · 1 mark
For A=[1tan⁡x−tan⁡x1],A = \begin{bmatrix} 1 &\tan x \\ -\tan x &1 \end{bmatrix}, the determinant of ATA−1A^{T}A^{-1} is
Official PYQ2015Engineering MathematicsCalculusMCQ · 1 mark
The contour on the x−yx-y plane, where the partial derivative of x2+y2x^{2} + y^{2} with respect to yy is equal to the partial derivative of 6y+4x6y+4x with respect to xx, is
Official PYQ2015Engineering MathematicsComplex AnalysisMCQ · 1 mark
If CC is a circle of radius rr with centre z0,z_{0}, in the complex zz-plane and if nn is a non-zero integer, then ∮Cdz(z−z0)n+1\oint _{C}\frac{dz}{(z-z_{0})^{n+1}} equals
Official PYQ2015Engineering MathematicsCalculusNAT · 1 mark
Consider the function g(t)=e−tsin⁡(2πt)u(t)g(t) = e^{-t}\sin(2\pi t)u(t) where u(t)u(t) is the unit step function. The area under g(t)g(t) is ______.
Official PYQ2015Engineering MathematicsCalculusNAT · 1 mark
The value of ∑n=0∞n(12)n\displaystyle{}\sum_{n=0}^{\infty} n \left(\dfrac{1}{2}\right)^{n} is ________.
Official PYQ2015Networks, Signals and SystemsCircuit AnalysisNAT · 1 mark
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals a−ba-b is _______.
Official PYQ2015Analog CircuitsBJT and MOSFET AmplifiersNAT · 1 mark
In the circuit shown, the voltage VXV_{X} (in Volts) is ________.
Official PYQ2015Analog CircuitsBJT and MOSFET AmplifiersNAT · 1 mark
At very high frequencies, the peak output voltage V0V_{0} (in Volts) is _______.
Official PYQ2015Analog CircuitsBJT and MOSFET AmplifiersMCQ · 1 mark
Which one of the following processes is preferred to form the gate dielectric (SiO2)(SiO_{2}) of MOSFETs ?
Official PYQ2015Analog CircuitsBJT and MOSFET AmplifiersMCQ · 1 mark
If the base width in a bipolar junction transistor is doubled, which one of the following statements will be TRUE?
Official PYQ2015Analog CircuitsBJT and MOSFET AmplifiersNAT · 1 mark
In the circuit shown in the figure, the BJT has a current gain (β)(\beta) of 50.50. For an emitter-base voltage ܸ VEB=600 mV,V_{EB} = 600\: mV, the emitter-collector voltage VECV_{EC} (in Volts) is _______.
Official PYQ2015Analog CircuitsOp-amp CircuitsNAT · 1 mark
In the circuit shown using an ideal opamp, the 33-dB cut-off frequency (in Hz) is _______.
Official PYQ2015Analog CircuitsDiode CircuitsNAT · 1 mark
In the circuit shown, assume that diodes D1D_{1} and D2D_{2} are ideal. In the steady state condition, the average voltage VabV_{ab} (in Volts) across the 0.5 μF0.5\: \mu F capacitor is ______.
Official PYQ2015Networks, Signals and SystemsCircuit AnalysisMCQ · 1 mark
The circuit shown consists of J-K flip-flops, each with an active low asynchronous reset (Rd‾ input).(\overline{R_{d}}\:\text{input}). The counter corresponding to this circuit is
Official PYQ2015Digital CircuitsCombinatorial CircuitsMCQ · 1 mark
In the circuit shown, diodes D1,D2D_{1}, D_{2} and D3D_{3} are ideal, and the inputs E1,E2E_{1} , E_{2} and E3E_{3} are “0 V”“0\: V” for logic ‘0’‘0’ and “10 V”“10\: V” for logic ‘1’‘1’. What logic gate does the circuit represent?
Official PYQ2015Digital CircuitsComputer OrganizationMCQ · 1 mark
Which one of the following 80858085 microprocessor programs correctly calculates the product of two 88-bit numbers stored in registers BB and C?C?
Official PYQ2015Networks, Signals and SystemsLTI SystemsMCQ · 1 mark
The impulse response of an LTI system can be obtained by
Official PYQ2015Analog CircuitsOp-amp CircuitsMCQ · 1 mark
Consider a four-point moving average filter defined by the equation y[n]=∑i=03αi x[n−i].y[n] = \displaystyle{}\sum _{i=0}^{3}\alpha_{i}\:x[n-i]. The condition on the filter coefficients that results in a null at zero frequency is
Official PYQ2015Control SystemsNAT · 1 mark
Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued. The value of fH –fL (in Hz)f_{H}\: – f_{L}\:( \text{in}\: Hz) is ___________.
Official PYQ2015Networks, Signals and SystemsLTI SystemsNAT · 1 mark
The phase margin (in degrees) of the system G(s)=10s(s+10)G(s) = \dfrac{10}{s(s+10)} is _______.