Name of the Instution : All India Council for Technical Education
Class : Undergraduate Programs – UG
Document Type : Model Question Papers
Paper : Electrical & Electronics Engineering
Year : 2018
Website : https://www.aicte-india.org/education/model-syllabus
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AICTE EEE UG Model Question Papers
Download Electrical & Electronics Engineering Model Question Papers For Undergraduate Program from the All India Council for Technical Education website. The model question papers are suggestive blueprints.
Related : AICTE Computer Science & Engineering Model Question Papers : www.pdfquestion.in/33531.html
The primary aim of these question papers is to bring clarity about the process of connecting questions to performance indicators and hence to course outcomes.
1a Use Y-? and ?-Y transformation to find Rth between points xy. (fig.1.(a)).
1b Apply Norton’s theorem to find ‘I0’ in the circuit given (fig.1.(b)).
1c For the circuit (fig.1.(c)) given find,
i. Thevenin’s equivalent circuit at terminals A & B.
ii. How much power would be delivered to a resistor connected to AB if RAB=5O
2a State and prove Maximum power transfer theorem for an AC circuit having impedance source & pure resistive load.
2b Determine the voltage ‘Vx’ across the 2O resistor using source transformation method (fig.2.(b)).
2c Solve for Vx & Vy using the supernode concept for the circuit shown in Fig. 2(c).
3a Demonstrate Reciprocity theorem for the voltage across R, for the network shown in fig.3.(a).
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3b A very long string of 400 multicolored outdoor lights is installed on a house. After applying power, the home owner notices two bulbs are burnt out.
i) Are the lights connected inseries or parallel?
ii) After replacing the burnt bulbs the owner notices that the lights closest to the supply are approximately 10% brighter than the lights at the far end of the string, provide a suitable explanation keeping in mind that nothing in the string is zero ohms.
iii) Assuming 115V ac supply, individual bulb rating of 1Watt, determine the power supplied by the supply. 3c Find hybrid & ABCD parameters of the network shown in fig.3.(c)
Linear Control Systems
1a For the electrical circuit of Fig., deduce the model equations and hence represent by signal-flow graph with v1 (input), v2, v3, i1, i2 and i3 (output) as variables.
1b In industrial manufacturing certain robot arm is required to control the position of the end piece. Fig.1b shows the model of a closed loop position control system where the controller gains kp and kd are to be determined so as tosatisfy the following specifications
(i) Closed loop poles placed at (-3.6 ±ß)
(ii) Peak-time=0.65 sec. From the above descriptions
(i) Identify the design specifications in terms of damping ratio (? ) and angular frequency(?n)
(ii)Deduce relations for Kp and Kd in terms of ? and ?n
(iii) required gain settings
(iv) Peak overshoot and settling time for these settings.
2a Assuming under-damped unit step response of a second order control system, deduce expressions for peak-time and rise time. For a negative feedback control system, G(s)= (10s+72)/s(2s+6) and H(s)=1. Determine the peak overshoot, settling time and static error constants Kp, Kv and Ka.
2b For the block-diagram shown in Fig., obtain the signal flow graph and determine the T.F C(s)/R(s) by applying Mason’s gain formula.
3a First order field circuit model of a DC Generator is shown below where, Rf=50, Rs=1 and Lf=2.0.
(i) If K=0.2, obtain an expression for unit step output response by selecting gain KA for zero steady-state error.
(ii) If gain KA is varied from 80 to 120 in steps of 10, determine the values of gain K that give time constant = 0.005 sec and plot in the parameter plane (KA, K) markingdifferent regions of time constants. Also compute the corresponding steadystate error for unit step input and analyze the effect of KA variations on it.
3b The depth control system of a submersible vehicle is shown in fig. below, where K=0.5 (i) If K2=0.5 and gain K1 has limits 5 = K1 = 20, obtain the unit step response with K1 selected for fasted response.(ii) If gain K1 is varied from 1.0 to 7.0 in steps of 1.0, determine the gain K2 values that give time constant = 0.1 and plot in the parameter plane K1 – K2. Also compute the correspondingequivalent gain (Ke) and steady-state errors and comment on the effect of K1 variations on the steady-state error.
4a All elements in a row of Routh array are zero. What this indicates? How to overcome this situation? For a negative feedback control system, G(s)=(K- 2)/s(s2+s+1) and H(s)=1/(s+5). By applying RH criterion, determine the rangeof gain K over which the closed loop system is absolutely stable. Also investigate the stability and number of roots in RHS of s-plane when K=10 and K=0.5.
4b For a simplified model of DC generator voltage control system, Gp(s)=1/(1+s)(2+s) and H(s)=1 . Design PID controller assuming Ki=0.1 so as to place two dominant closed loop poles at (-3±j4).
5a The open loop T.F of a control system is G(s)H(s)=10/s(s+1)(s+5) . Sketch the approximate polar plot and analytically determine the gain margin.
5b Figure shows the model of the control system for one joint of a robot arm. The controller is a PD given as. Now it is required to determine the combinational values of Kp and Kd (both positive) for which the closed loop system is absolutely stable. In this respect (i) By applying RH criterion, deduce anexpression for limiting value of Kd as a function of Kp (ii) If Kp is varied, determine the corresponding limiting value of Kd and plot in the parameter plane (Kp, Kd) marking stable and unstable regions.
Analog Electronics Circuits
1a The input waveform available is a square waveform of amplitude 5V and frequency 1kHz. Using appropriate diode circuit, modify the amplitude of the waveform suitably retaining same value of frequency. Use this waveform to trigger a digital circuit. Justify your answer.
1b Design a voltage divider bias BJT circuit to have VCE = VE = 5V and Ic= 5mA, when the supply voltage is 15V. Assume transistor hFE = 100.
1c The circuit given below consists of a non-linear diode. Determine VB (voltage across 5kO) using small signal model of diode.
2a Design an appropriate diode circuit for the transfer function given below. Analyze the circuit and draw input output waveforms.
2b The input voltage ???? (??)to the two level clipper shown in Fig.2a varies linearly from 0 to 150 V. Sketch the transfer characteristics assuming diodes are ideal
3a Calculate the base, collector and emitter currents and VCE for a common emitter circuit given below. Also determine the transistor power dissipation.
3b Draw input and output characteristics of nMOS for increasing value of length and oxide thickness.
Digital Signal Processing
1a Let ??(??) be a continuous time signal, and let ??1(??) = ??(2??) and ??2(??) = ??(??/2) .The signal ??1(??) represents a speeded up version of ??(??) similarly ??2(??) represents a slowed down version of ??(??). Consider the following statements
i) If ??(??) is periodic , then ??1(??) is periodic
ii) If ??2(??) is periodic , then ??(??) is periodic
For each of these statements, determine whether it is true, and if so, determine the relationship between the fundamental periods of the two signals considered in the statement. If the statement is not true, produce a counterexample to it.
1b Consider the capacitor circuit shown in fig below. Let input ??(??) = ??(??) and output ??(??) = ???? (??)
i) Find the input-output relationship
ii) Determine the system is a) memory less, b)Causal c)Linear d) Stable e) Time-invariant.
1c Obtain the direct form-I, direct form-II for the following system which is represented in difference equation form. ??(??) = -0.1??(?? – 1) + 0.2??(?? – 2) + 3??(??) + 3.6??(?? – 1) + 0.6??(?? – 2)
2a Classify the following signals according to whether they are (1) one or multi-dimensional (2) continuous time or discrete time and (3) analog or digital (amplitude). Justify i) Closing prices of utility stocks on New York Stock Exchange
ii) A color movie
iii) Position of the steering wheel of a car in motion relative to car’s reference frame.
2b Consider the interconnection of LTI system shown in fig below,
i)Express overall impulse response in terms of h1(??), h2(??), h3(??) and h4(??)with all intermediate steps
3a An audio signal s(t) generated by a loud speaker is reflected at two different walls with reflection coefficients ??1, ??2. The signal ??(??)recorded by a microphone close to the loud speaker, after sampling, is ??(??) = ??(??) + ??1??(?? – ??1) + ??2??(?? – ??2). Where ??1 and ??2 are the delays of two echoes. Determine autocorrelation ?????? (??) of the signal
1a State and prove ampere-second balance and volt-second balance. Also, establish the relationship between input voltage and output voltage for buck and boost type DC-DC converters by applying ampere-second balance to the capacitor.
1b A non-sinusoidal periodic voltage has a Fourier series of v(t) = 10 +20 cos(2p60t -250)+30 cos(4 p 60t +200) V. This voltage is connected to a load that is a 5O resistor and a 15-mH inductor connected in series. Determine the power absorbed by the load.
2a Show that rms value of a sinusoid is the peak value divided by v2 . Give two examples to show that this is generally not the case for other periodic waveforms.
2b A buck converter has an input voltage that varies between 50 and 60 V and a load that varies between 75 and 125 W. The output voltage required by load is 20 V with allowable ripple of 1%. For a switching frequency of 100 kHz, Design system components to provide for continuous current for every operating possibility.
3a An electric resistance space heater rated at 1500 W for a voltage source of ??(??) = 120v2 sin (2p60t) V has a thermostatically controlled switch. The heater periodically switches on for 5 min and off for 7 min. Determine (i) the maximum instantaneous power, (ii) the average power over the 12-min cycle, and (iii) the electric energy converted to heat in each 12 min cycle. A non-sinusoidal periodic voltage has a Fourier series of
3b With necessary equivalent circuit diagrams and relevant waveforms of a SEPIC converter in CCM, derive expressions for voltage gain and current gain.
4a Explain how amplitude and harmonics are controlled in a single phase voltage source inverter simultaneously using relevant waveforms. Also derive an expression for the rms value of output voltage in terms of dc link voltage and delay angle.