GATE 2015 EE (EE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2015 EE (EE2) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – We our friend’s birthday and we how to make it up to him.
- Question 2 – Choose the sentence in which “personnel” is used correctly.
- Question 3 – A generic term covering a skirt, a pair of trousers and a shirt is
- Question 4 – What is the total weight of 10 identical poles? Statement I: one quarter of a pole’s weight is 5 kg. Statement II: the 10 poles weigh 160 kg more than…
- Question 5 – For f(x)=1- x on [−1,1], the maximizing x and maximum value, respectively, are
- Question 6 – Select the most suitable sentence with respect to grammar and usage.
- Question 7 – In triangle PQR, PS bisects angle QPR and QPS=60. With PQ=r, PR=q and QR=p as shown, the length PS is
- Question 8 – For distinct integers p,q,r,s define f as their maximum and g as their minimum. Define h as the remainder when the larger of pq and rs is divided by…
- Question 9 – P,R,S,T,U form an arithmetic sequence. Which also do? I: 2P,2R,2S,2T,2U. II: P−3,R−3,S−3,T−3,U−3. III: P²,R²,S²,T²,U².
- Question 10 – Branches M,N,O,P have these positions: M is 4 km north of N; P is 2 km south of O; N is 1 km southeast of O. Find distance MP in km.
- Question 11 – Let f(z)=g(z)+h(z), with complex-valued functions of complex z. Which statement is true?
- Question 12 – For three linear equations in three unknowns, define P: unique solution; Q: independent equations; R: all coefficient-matrix eigenvalues nonzero; S:…
- Question 13 – Match P: Stokes’ theorem; Q: Gauss’ electric-flux law; R: divergence theorem; S: Cauchy’s integral theorem, to: 1. S D d S=Q. 2. Cf(z)\,dz=0. 3. V…
- Question 14 – Given the Laplace transform of f(t)=2t/ is s-3/2, the transform of g(t)=1/( t) is
- Question 15 – Match P: permanent-magnet moving coil; Q: moving iron through a current transformer; R: rectifier instrument; S: electrodynamometer, to 1: DC only; 2:…
- Question 16 – A balanced three-phase load consumes 5 kW at pf 0.707, measured by the two-wattmeter method. The readings are
- Question 17 – The capacitive divider shown measures a 100 kV rms, 50 Hz bus. C1=1 μF and C2=9 μF each have ±10% tolerance. The maximum rms Vout in kV is .
- Question 18 – In the shown circuit, V in=100(100 t) V and 100 RC=50. Steady-state average voltage across R is nearest to
- Question 19 – Dielectric regions y<0 and y>0 have relative permittivities 2 and 5. Region 1 has E 1=3 a x+4 a y+2 a z. With no free interfacial charge, the field in…
- Question 20 – A circular single turn of radius 1 m rotates at 60 rpm about its diameter along x, as shown. With 0=410-7 SI and uniform H=107 z A/m, peak induced…
- Question 21 – The shown op-amp is ideal. Input is V i=2(22000t) V. The output-voltage amplitude in volts is .
- Question 22 – The transistor is active and initially VC=2 V. To obtain VC=4 V, RC is replaced by RC′. Find RC′/RC.
- Question 23 – For F=ABC+ A BC+A BC+ ABC+ A B C, the equivalent product of sums is
- Question 24 – Filters F1 and F2 have the shown low-pass and high-pass characteristics and are combined as shown. Their cutoffs satisfy f1<f2. The result behaves as…
- Question 25 – For a BJT operating in saturation, which statement about collector–base and base–emitter junctions is true?
- Question 26 – The synchronous generator shown feeds an infinite bus through two short lossless lines and is initially steady. Mechanical input and internal-voltage…
- Question 27 – A three-bus, three-line system has uncompensated admittance Y=bmatrix-j6&j3&j4\3&-j7&j5\4&j5&-j8bmatrix\ pu. After 50% compensation of all line shunt…
- Question 28 – The series RL circuit has zero initial conditions and a DC source V switched on at t=0. The value of d2i/dt2 at 0+ is
- Question 29 – Find the indicated current through the 2 Ω resistor, in amperes.
- Question 30 – Choose transformer ratios a,b so Zin is purely resistive and equals 2.5 Ω at angular frequency 5000 rad/s.
- Question 31 – A shunt DC motor at rated terminal voltage has no-load speed 200 rad/s, and speed 180 rad/s at torque 500 N·m. It drives a load with T L=2.78 r.…
- Question 32 – The figure is the per-phase equivalent circuit of a two-pole, three-phase 50 Hz induction motor. Air-gap voltage Vg is 210 V rms and slip is 0.05. The…
- Question 33 – A four-pole separately excited wave-wound DC machine with negligible armature resistance is rated 230 V,5 kW at 1200 rpm. The same coils are…
- Question 34 – The unit-impulse response of an open-loop LTI system is e-2t(5t+5t) for t≥0. Its DC gain is .
- Question 35 – The figure shows Nyquist loci for G1 and G2. Which choice is the Nyquist plot of their product?
- Question 36 – Find the volume below f(x,y)=ex over the xy triangle bounded by x=y, x=0 and y=1.
- Question 37 – Coins R,S have joint probabilities HH,TT,HT,TH equal to 0.28,0.18,0.30,0.24 respectively. Which is true?
- Question 38 – For −10<t<10, di/dt-0.2i=0. If i(4)=10, find i(−5).
- Question 39 – The signal is x(t)=ej10t for t ≤1 and zero otherwise. Its Fourier transform is
- Question 40 – A wattmeter’s coil resistances are 0.01 Ω and 1000 Ω, with negligible inductances. Connected as shown, it measures a 30 V load drawing 25 A at pf 0.8.…
- Question 41 – The ideal buck converter has fs=100 kHz, duty 0.6, input 60 V, L=5 mH and ripple-free output 36 V. Find load resistance R in ohms for just-continuous…
- Question 42 – The switching converter has ideal components and continuous positive inductor current. Its inductor-voltage waveform is +15 V during on-time and −45 V…
- Question 43 – The shown rectifier has T1 firing at 30° after the positive-going source zero crossing. Supply is V s=100(100 t) V. Find steady average voltage across…
- Question 44 – For BIBO-stable LTI systems, which statement is true?
- Question 45 – For X(z)=2z+4-4/z+3/z2, let y[n] be the first difference x[n]−x[n−1]. Then Y(z) is
- Question 46 – Two grounded perpendicular semi-infinite conducting sheets are shown. Charge +Q is distance d from both. Its force is [Q2/(4 0d2)] K. Find K.
- Question 47 – The sequential circuit starts at Q1Q0=00. Its state immediately after the 333rd clock pulse is
- Question 48 – Implement f(A,B,C,D)=(1,5,12,15) using an 8:1 MUX. A is MSB and ABC drive S2,S1,S0. Which ordered pin inputs 0–7 are correct?
- Question 49 – The ideal op-amp saturates at ±10 V. In steady state its output v0 is
- Question 50 – Incremental costs in Rs/MWh are dC1/dP1=0.2P1+50 and dC2/dP2=0.24P2+40, with 20≤P1,P2≤150 MW. At the initial dispatch they are 76 and 68.8. Redispatch…
- Question 51 – A composite conductor comprises three identical circular conductors of radius R arranged as shown, with all centre spacings 3R. If its geometric mean…
- Question 52 – The 33/11 kV delta–star transformer and CT connections are shown. Both-side CT ratios are 500/5. For the indicated 300 A fault, the currents i1 and i2…
- Question 53 – A positive-sequence balanced source feeds a star load through the shown star–delta transformer. Line ratings are 230 V on the star side and 115 V on…
- Question 54 – The circuit has V 1=1000 V, V 2=100-120 V, V 3=100120 V. Find phasor current i in amperes.
- Question 55 – A symmetric ±15 V square wave of 50% duty and period 0.4π ms drives series RLC with R=5 Ω,L=10 mH,C=4 μF. Find amplitude in volts of the…
- Question 56 – Two identical coils, each with inductance L, share a core. If an overall inductance αL is obtained by interconnecting them, the minimum possible α is…
- Question 57 – A three-winding transformer has N1=100,N2=N3=50 and negligible magnetizing current. With the shown polarities, I 2=230 A and I 3=2150 A. Primary I1 is
- Question 58 – A separately excited DC motor at rated field drives a fan at 1000 rpm with armature voltage 100 V and current 10 A. Ra=1 Ω and fan torque is…
- Question 59 – An 11 kV,50 Hz,two-pole star cylindrical synchronous motor has Xs=50 Ω/phase and negligible resistance. At fixed field it first draws 100 A at unity…
- Question 60 – A 220 V,three-phase,four-pole,50 Hz wound-rotor induction motor has negligible stator resistance, magnetizing reactance and core loss. Maximum torque…
- Question 61 – The two three-phase transformer banks are built from single-phase units with the shown winding polarities. Find the phase-difference magnitude between…
- Question 62 – The numerical oscillator equations are (x k+1-x k)/h=y k and (y k+1-y k)/h=-x k. Which stability statement is true?
- Question 63 – Which graph is the unit-step response of G(s)=(1-2s)/(1+s)?
- Question 64 – For unity feedback with G(s)=K/[s(s+1)(s+2)], the real-axis breakaway point is
- Question 65 – The system obeys x 1=2x 1+x 2+u, x 2=-2x 1+u, y=3x1. Its zero-state transfer Y(s)/U(s) is