Q.1 Q.30 Carry One Mark Each 1. The minimum number of equations required to analyze the circuit shown in Fig.Q.1 is

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1 GATE EC Q. Q.30 Carry One Mark Each. The minimum number of equation required to analyze the circuit hown in Fig.Q. i C C ~ C (a) 3 (b) 4 (c) 6 (d) 7. A ource of angular frequency rad/ec ha a ource impedance coniting of Ω reitance in erie with H inductance. The load that will obtain the maximum power tranfer i (a) Ω reitance (b) Ω reitance in parallel with H inductance (c) Ω reitance in erie with F capacitor (d) Ω reitance in parallel with F capacitor 3. A erie LC circuit ha a reonance frequency of khz and a quality factor Q = 00. If each, L and C i doubled from it original value, the new Q of the circuit i (a) 5 (b) 50 (c) 00 (d) The Laplace tranform of i(t) i given by I ( ) A t, the value of i(t) tend to = + ( ) (a) 0 (b) (c) (d) 5. The differential equation for the current i(t) in the circuit of Figure Q.5 i d i di + + = int dt dt (a) i ( t ) d i di + + = cot dt dt (b) i ( t ) d i di + + = cot dt dt (c) i ( t ) d i di + + = int dt dt (d) i ( t ) Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion + in t - i(t) Ω H F

2 GATE EC n-type ilicon i obtained by doping ilicon with (a) Germanium (b) Aluminum (c) Boron (d) Phophoru 7. The bandgap of ilicon at 300 K i (a).36 ev (b).0 ev (c) 0.80 ev (d) 0.67 ev 8. The intrinic carrier concentration of ilicon ample of 300 K i /m 3. If after doping, the number of majority carrier i /m 3, the minority carrier denity i (a) /m 3 (b) /m 3 (c) /m 3 (d) /m 3 9. Chooe proper ubtitute for X and Y to make the following tatement correct Tunnel diode and Avalanche photodiode are operated in X bia and Y bia repectively. (a) X: revere, Y: revere (c) X: forward, Y: revere (b) X: revere, Y: forward (d) X: forward, Y: forward 0. For an n-channel enhancement type MOSFET, if the ource i connected at a higher potential than that of the bulk (i.e. V SB > 0), the threhold voltage V T of the MOSFET will (a) remain unchanged (c) change polarity (b) decreae (d) increae. Chooe the correct match for input reitance of variou amplifier configuration hown below. Configuration CB: Common Bae CC: Common Collector CE: Common Emitter (a) CB-LO, CC-MO, CE-HI (c) CB-MO, CC-HI, CE-LO Input reitance LO: Low MO: Moderate HI: High (b) CB-LO, CC-HI, CE-MO (d) CB-HI, CC-LO, CE-MO. The circuit hown in figure i bet decribed a a (a) bridge rectifier (b) ring modulator ~ (c) frequency dicriminatory (d) voltage doubler output Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

3 GATE EC If the input to the ideal comparator hown in figure i a inuoidal ignal of 8V (peak to peak) without any DC component, then the output of the comparator ha a duty cycle of Input V ref =V + - Output (a) (b) 3 (c) 6 (d) q 4. If the differential voltage gain and the common mode voltage gain of a differential amplifier are 48 db and db repectively, then it common mode rejection ratio i (a) 3 db (b) 5 db (c) 46 db (d) 50 db 5. Generally, the gain of a tranitor amplifier fall at high frequencie due to the (a) internal capacitance of the device (b) coupling capacitor at the input (c) kin effect (d) coupling capacitor at the output 6. The number of ditinct Boolean expreion of 4 variable i (a) 6 (b) 56 (c) 04 (d) The minimum number of comparator required to build an 8 it flah ADC i (a) 8 (b) 63 (c) 55 (d) The output of the 74 erie of TTL gate i taken from a BJT in (a) totem pole and common collector configuration (b) either totem pole or open collector configuration (c) common bae configuration (d) common collector configuration 9. Without any additional circuitry, an 8: MUX can be ued to obtain (a) ome but not all Boolean function of 3 variable (b) all function of 3 variable but none of 4 variable (c) all function of 3 variable and ome but not all of 4 variable (d) all function of 4 variable Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

4 GATE EC A 0 to 6 counter conit of 3 flip flop and a combination circuit of input gate(). The combination circuit conit of (a) one AND gate (c) one AND gate and one O gate (b) one O gate (d) two AND gate. The Fourier erie expanion of a real periodic ignal with fundamental frequency f 0 i given by ( ) o p n= n j nf t g t = c e π it i given that C 3 = 3 + j5. Then C -3 i (a) 5+j3 (b) -3-j5 (c) -5+j3 (d) 3-j5. Let x(t) be the input to a linear, time-invariant ytem. The required output i 4x(t-). The tranfer function of the ytem hould be (a) 4e j4π f (b) e j8π f (c) 4e j4π f (d) j8 e πf A equence x(n) with the z-tranform X(z) = z + z z + 3z i applied a an input to a linear, time-invariant ytem with the impule repone h(n) = δ(n-3) where δ ( n), n = 0 = 0, otherwie The output at n = 4 i (a) -6 (b) zero (c) (d) Figure how the Nyquit plot of the open-loop tranfer function G()H() of a ytem. If G()H() ha one right hand pole, the cloed loop ytem i Im GH-plane ω=0 (-,0) e ω poitive (a) alway table (b) untable with one cloed loop right hand pole (c) untable with two cloed loop right hand pole (d) untable with three cloed loop right hand pole Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

5 GATE EC A PD controller i ued to compenate a ytem. Compared to the uncompenated ytem, the compenated ytem ha (a) a higher type number (c) higher noie amplification (b) reduced damping (d) larger tranient overhoot 6. The input to a coherent detector i DSB-SC ignal plu noie. The noie at the detector output i (a) the in-phae component (c) zero (b) the quadrature-component (d) the envelope 7. The noie at the input to an ideal frequency detector i white. The detector i operating above threhold. The power pectral denity of the noie at the output i (a) raied coine (b) flat (c) parabolic (d) Gauian 8. At a given probability of error, binary coherent FSK i inferior to binary coherent PSK by (a) 6 db (b) 3 db (c) db (d) 0 db 9. The unit of H i (a) Ampere (c) Ampere/meter (b) Ampere/meter (d) Ampere-meter 30. The depth of penetration of electromagnetic wave in a medium having conductivity σ at a frequency of MHz i 5 cm. The depth of penetration at a frequency of 4 MHz will be (a) 6.5 cm (b).50 cm (c) cm (d) cm Q.3 Q.90 Carry Two Mark Each 3. Twelve Ω reitance are ued a edge to form a cube. The reitance between two diagonally oppoite corner of the cube i (a) 5 6 Ω (b) 6 Ω (c) 6 5 Ω (d) 3 Ω 3. The current flowing through the reitance in the circuit in figure ha the form P co 4t, where P i M=0.75H /0.4F (a) (0.8+j0.7) (b) (0.46+j.90) (c) -(0.8+j.90) 3Ω =3.9Ω (d) -(0.9+j0.44) V=co4t ~ Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

6 GATE EC The circuit for Q i given in figure. For both the quetion, aume that the witch S i in poition for a long time and thrown to poition at t = 0. S C i i(t) i (t) V L C 33. At t = 0 +, the current i i V (a) (b) V V (c) 4 (d) zero 34. I ( ) and I ( ) are the Laplace tranform of ( ) and ( ) equation for the loop current ( ) and ( ) i t i t repectively. The I I for the circuit hown in figure Q.33-34, after the witch i brought from poition to poition at t = 0, are (a) (b) (c) + L + L V C I ( ) = I ( ) L + 0 C + L + L V C I ( ) = I ( ) L + 0 C + L + L V C I ( ) = I ( ) L L C (d) + L + L V C I ( ) = I ( ) L L C 35. An input voltage v(t) = 0 co ( 0 ) 0 3 co ( 0 ) t + + t + V i applied to a erie combination of reitance = Ω and an inductance L = H. The reulting teady tate current i(t) in ampere i Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

7 GATE EC (a) 0 co ( t + 55 ) + 0 co ( t tan ) 3 (b) 0 co ( t + 55 ) + 0 co ( t + 55 ) (c) 0 co ( t 35 ) + 0 co ( t + 0 tan ) 3 (d) 0 co ( t 35 ) + 0 co ( t 35 ) 36. The driving point impedance Z() of a network ha the pole-zero location a hown in figure. If Z(0) =3, then Z() i Im 3 ( + 3) (a) (b) (c) (d) ( + ) ( ) 3 3 ( ) X X - -plane e O denote zero x denote pole 37. The impedance parameter Z and Z of the two-port network in figure are (a) Z =.75Ω and Z =0.5Ω Ω Ω 3Ω (b) Z = 3Ω and Z =0.5Ω (c) Z = 3Ω and Z =0.5Ω (d) Z =.5Ω and Z =0.5Ω Ω Ω 38. An n-type ilicon bar 0. cm long and µm in cro-ectional area ha a majority carrier concentration of /m 3 and the carrier mobility i 0.3m /V- at 300K. if the charge of an electron i coulomb, then the reitance of the bar i (a) 0 6 ohm (b) 0 4 ohm (c) 0 - ohm (d) 0-4 ohm 39. The electron concentration in a ample of uniformly doped n-type ilicon at 300 K varie linearly from 0 7 /cm 3 at x = 0 to /cm 3 at x = µm. Aume a ituation that electron are upplied to keep thi concentration gradient contant with time. If electronic charge i coulomb and the diffuion contant D n = 35 cm /, the current denity in the ilicon, if no electric field i preent, i (a) zero (b) - A/cm (c) +0 A/cm (d) - A/cm Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

8 GATE EC Match item in Group with item in Group, mot uitably. Group Group P LED Heavy doping Q Avalanche photodiode Coherent radiation Tunnel diode 3 Spontaneou emiion S LASE 4 Current gain (a) P Q 4 S - 3 (b) P Q 3 S - 4 (c) P 3 Q 4 S - (d) P Q 4 S At 300 K, for a diode current of ma, a certain germanium diode require a forward bia of 0.435V, wherea a certain ilicon diode require a forward bia of 0.78V. Under the condition tated above, the cloet approximation of the ratio of revere aturation current in germanium diode to that in ilicon diode i (a) (b) 5 (c) (d) A particular green LED emit light of wavelength 5490 A. The energy bandgap of the emiconductor material ued there i (Planck contant = J-) (a).6 ev (b).98 ev (c).7 ev (d) 0.74 ev 43. When the gate-to-ource voltage (V GS ) of a MOSFET with threhold voltage of 400mV, working in aturation i 900 mv, the drain current in oberved to be ma. Neglecting the channel width modulation effect and auming that the MOSFET i operating at aturation, the drain current for an applied V GS of 400 mv i (a) 0.5 ma (b).0 ma (c) 3.5 ma (d) 4.0 ma 44. If P i Paivation, Q i n-well implant, i metallization and S i oruce/drain diffuion, then the order in which they are carried out in a tandard n-well CMOS fabrication proce, i (a) P-Q--S (b) Q-S--P (c) -P-S-Q (d) S--Q-P 45. An amplifier without feedback ha a voltage gain of 50, input reitance of KΩ and output reitance of.5 KΩ. The input reitance of the current-hunt negative feedback amplifier uing the above amplifier with a feedback factor of 0., i (a) KΩ (b) KΩ (c) 5 KΩ (d) KΩ 5 Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

9 GATE EC In the amplifier circuit hown in figure, the value of and are uch that the tranitor i operating at V CE = 3V and I C =.5mA when it β i 50. For a tranitor with β of 00, the operating point (V CE, I C ) i (a) (V, ma) (b) (3V, ma) (c) (4V, ma) (d) (4V, ma) V CC=6V 47. The ocillator circuit hown in figure ha an ideal inverting amplifier. It frequency of ocillation (in Hz) i C C C (a) ( π 6C ) (b) ( π C ) (c) ( 6C ) 6 (d) ( π C ) 48. The output voltage of the regulated power upply hown in figure i + KΩ 5 V DC Unregulated Power Source V z =3V KΩ 40KΩ egulated DC Output (a) 3V (b) 6V (c) 9V (d) V Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

10 GATE EC The action of a JFET in it equivalent circuit can bet be repreented a a (a) Current Controlled Current Source (b) Current Controlled Voltage Source (c) Voltage Controlled Voltage Source (d) Voltage Controlled Current Source 50. If the op-amp in figure i ideal, the output voltage V out will be equal to (a) V (b) 6V (c) 4V V 3V kω kω 8kΩ - + 5kΩ V out (d) 7V 5. Three identical amplifier with each one having a voltage gain of 50, input reitance of KΩ and output reitance of 50Ω, are cacaded. The open circuit voltage gain of the combined amplifier i (a) 49 db (b) 5 db (c) 98 db (d) 0 db 5. An ideal awtooth voltage waveform of frequency 500 Hz and amplitude 3V i generated by charging a capacitor of µf in every cycle. The charging require (a) contant voltage ource of 3 V for m (b) contant voltage ource of 3 V for m (c) contant current ource of 3 ma for m (d) contant current ource of 3 ma for m 53. The circuit hown in figure ha 4 boxe each decribed by input P, Q, and output Y, Z with Y = P Q Z = Q + P + QP Q P Z P Q Z P Q P Z Q Z P Q Y Y Y Y Output Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

11 GATE EC The circuit act a a (a) 4 bit adder giving P + Q (c) 4 bit ubtractor-giving Q - P (b) 4 bit ubtractor-giving P - Q (d) 4 bit adder giving P + Q If the function W, X, Y and Z are a follow W = + PQ + S X = PQ S + P Q S + P Q S Y = S + P + PQ + P. Q Z = + S + PQ + P. Q. + PQ. S Then (a) W = Z, X = Z (b) W = Z, X = Y (c) W = Y (d) W = Y = Z 55. A 4 bit ripple counter and a 4 bit ynchronou counter are made uing flip-flop having a propagation delay of 0 n each. If the wort cae delay in the ripple counter and the ynchronou counter be and S repectively, then (a) = 0 n, S = 40 n (c) = 0 n, S = 30 n (b) = 40 n, S = 0 n (d) = 30 n, S = 0 n 56. The DTL, TTL, ECL and CMOS familie of digital IC are compared in the following 4 column (P) (Q) () (S) Fanout i minimum DTL DTL TTL CMOS Power conumption i minimum TTL CMOS ECL DTL Propagation delay i minimum CMOS ECL TTL TTL The correct column i (a) P (b) Q (c) (d) S 57. The circuit hown in figure i a 4-bit DAC The input bit 0 and are repreented by 0 and 5 V repectively. The OP AMP i ideal, but all the reitance and the 5V input have a tolerance of ±0%. The pecification (rounded to the nearet multiple of 5%) for the tolerance of the DAC i (a) ±35% (b) ±0% (c) ±0% (d) ±5% Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

12 GATE EC The circuit hown in figure convert I N P U T S MSB MSB (a) BCD to binary code (c) Exce 3 to Gray code O U T P U T S (b) Binary to exce 3 code (d) Gray to Binary code 59. In the circuit hown in Figure, A i a parallel in, parallel-out 4-bit regiter, which load at the riing edge of the clock C. The input line are connected to a 4-bit bu, W. It output act a the input to a 6 4 OM whoe output i floating when the enable input E i 0. A partial table of the content of the OM i a follow Addre Data MSB W C A E OM C: t t Time Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

13 GATE EC The clock to the regiter i hown, and the data on the W bu at time t i 00. The data on the bu at time t i (a) (b) 0 (c) 000 (d) In an 8085 microproceor, the intruction CMP B ha been executed while the content of the accumulator i le than that of regiter B. A a reult (a) Carry flag will be et but Zero flag will be reet (b) Carry flag will be reet but Zero flag will be et (c) Both Carry flag and Zero flag will be reet (d) Both Carry flag and Zero flag will be et 6. Let X and Y be two tatitically independent random variable uniformly ditributed in the range (-,) and (-,) repectively. Let Z = X + Y. then the probability that [Z -] i (a) zero (b) 6 (c) 3 (d) 6. Let P be linearity, Q be time-invariance, be cauality and S be tability. A dicrete time ytem ha the input-output relationhip, ( ) x n, n y ( n) = 0, n = 0 x ( n + ), n where x(n) i the input and y(n) i the output. The above ytem ha the propertie (a) P, S but not Q, (b) P, Q, S but not (c) P, Q,, S (d) Q,, S but not P Data for Q are given below. Solve the problem and chooe the correct anwer. The ytem under conideration i an C low-pa filter (C-LPF) with =.0 kω and C =.0µF. 63. Let H(f) denote the frequency repone of the C-LPF. Let f be the highet H ( f ) frequency uch that 0 f f, Then f (in Hz) i H 0 ( ) (a) 37.8 (b) 63.9 (c) 5. (d) Let t g (f) be the group delay function of the given C-LPF and f = 00 Hz. Then t g (f ) in m, i (a) 0.77 (b) 7.7 (c) 7.7 (d) Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

14 GATE EC Data for Q are given below. Solve the problem and chooe the correct anwer. X(t) i a random proce with a contant mean value of and the autocorrelation 0.τ function x ( τ ) = 4 e Let X be the Gauian random variable obtained by ampling the proce at t = t i and let ( α ) y Q = e dy. π The probability that x i α (a) Q(0.5) (b) Q(0.5) (c) Q (d) Q 66. Let Y and Z be the random variable obtained by ampling X(t) at t = and t = 4 repectively. Let W = Y Z. The variance of W i (a) 3.36 (b) 9.36 (c).64 (d) Let x(t) = co(800πt) + co(400πt). x(t) i ampled with the rectangular pule train hown in figure. The only pectral component (in khz) preent in the ampled ignal in the frequency range.5 khz to 3.5 khz are p(t) 3 t -T 0 -T 0/6 T 0/6 T 0 0 T 0=0-3 ec (a).7, 3.4 (b) 3.3, 3.6 (c).6,.7, 3.3, 3.4, 3.6 (d).7, The ignal flow graph of a ytem i hown in figure. The tranfer function C ( ) of the ytem i ( ) () C() Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

15 (a) GATE EC (b) (c) The root locu of the ytem G ( ) H ( ) = K ( + ) ( + ) ( + 3) (d) ( + 7) ha the break-away point located at (a) (-0.5,0) (b) (-.548,0) (c) (-4,0) (d) (-0.784,0) 70. The approximate Bode magnitude plot of a minimum-phae ytem i hown in figure. The tranfer function of the ytem i db ω (a) ( + 0.) ( + 0) ( + 00) (b) 3 ( + ) ( + 0) ( + 00) (c) 0 8 ( + 0.) ( + 0) ( + 00) (d) ( + 0.) ( + 0) ( + 00) 7. A econd-order ytem ha the tranfer function ( ) = ( ) C with r(t) a the unit-tep function, the repone c(t) of the ytem i repreented by (a).5 Step epone (b) Step epone Amplitude 0.5 Amplitude Time(ec) Time(ec) Figure (a) Figure (b) Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

16 GATE EC (c) Step epone (d) Step epone.5 Amplitude 0.5 Amplitude Time (ec) Figure (c) Time(ec) Figure (d) (a) Figure (a) (b) Figure (b) (c) Figure (c) (d) Figure (d) 7. The gain margin and the phae margin of a feedback ytem with G ( ) H ( ) = are + 00 ( ) 3 (a) 0 db, 0 (b), (c), 0 (d) 88.5 db, 73. The zero-input repone of a ytem given by the tate-pace equation ( 0) ( 0) x& 0 x x = and x = x i & x 0 (a) t te t (b) t e t (c) t e t te (d) t t te 74. A DSB-SC ignal i to be generated with a carrier frequency f c = MHz uing a nonlinear device with the input-output characteritic 3 0 = 0 i + i v a v a v where a 0 and a are contant. The output of the nonlinear device can be filtered by an appropriate band-pa filter. Let v A co ( π f t ) m ( t ) c = + where m(t) i the meage ignal. Then the value of i c c f (in MHz) i (a).0 (b) (c) 0.5 (d) 3.0 Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

17 GATE EC The data for Q are given below. Solve the problem and chooe the correct anwer. 3 Let m ( t ) = co ( 4π 0 ) 6 c ( t ) = 5co ( π 0 ) t t be the meage ignal and be the carrier. 75. c(t) and m(t) are ued to generate an AM ignal. The modulation index of the Total ideband power generated AM ignal i 0.5. Then the quantity i Carrier power (a) (b) 4 (c) 3 (d) c(t) and m(t) are ued to generate an FM ignal. If the peak frequency deviation of the generated FM ignal i three time the tranmiion bandwidth of the AM ingal, then the coefficient of the term co π ( t ) in the FM ignal (in term of the Beel coefficient) i 5 (a) 5J 4 ( 3) (b) 8 ( 3) J (c) ( ) 8 4 J (d) 5J ( ) Chooe the correct one from among the alternative A, B, C, D after matching an item in Group with the mot appropriate item in Group. Group Group P ing modulator Clock recovery Q VCO Demodulation of FM Foter-Seely dicriminator 3 Frequency converion S Mixer 4 Summing the two input 5 Generation of FM 6 Generation of DSB-Sc (a) P Q 3 S 4 (b) P 6 Q 5 S 3 (c) P 6 Q 3 S (d) P 5 Q 6 S A uperheterodyne receiver i to operate in the frequency range 550 khz 650 Cmax khz, with the intermediate frequency of 450 khz. Let = denote the C required capacitance ratio of the local ocillator and I denote the image frequency (in khz) of the incoming ignal. If the receiver i tuned to 700 khz, then (a) = 4.4, I = 600 (b) =.0, I = 50 (c) = 3.0, I = 600 (d) = 9.0, I = 50 Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion min

18 GATE EC A inuoidal ignal with peak-to-peak amplitude of.536 V i quantized into 8 level uing a mid-rie uniform quantizer. The quantization noie power i (a) V (b) V (c) 0-6 V (d) 3.07 V 80. If E b, the energy per bit of a binary digital ignal, i 0-6 watt-ec and the oneided power pectral denity of the white noie, N 0 = 0-5 W/Hz, then the output SN of the matched filter i (a) 6 db (b) 0 db (c) 0 db (d) 3 db 8. The input to a linear delta modulator having a tep-ize = 0.68 i a ine wave with frequency f m and peak amplitude E m. If the ampling frequency f = 40 khz, the combination of the ine-wave frequency and the peak amplitude, where lope overload will take place i E m (a) 0.3 V (b).5 V (c).5 V (d) 3.0 V f m 8 khz 4 khz khz khz 8. If S repreent the carrier ynchronization at the receiver and ρ repreent the bandwidth efficiency, then the correct tatement for the coherent binary PSK i (a) ρ = 0.5, S i required (c) ρ = 0.5, S i not required (b) ρ =.0, S i required (d) ρ =.0, S i not required 83. A ignal i ampled at 8 khz and i quantized uing 8-bit uniform quantizer. Auming SN q for a inuoidal ignal, the correct tatement for PCM ignal with a bit rate of i (a) = 3 kbp, SN q = 5.8 db (c) = 64 kbp, SN q = 55.8 db (b) = 64 kbp, SN q = 49.8 db (d) = 3 kbp, SN q = 49.8 db 84. Medium ha the electrical permitivity ε =.5 ε 0 farad/m and occupie the region to the left of x = 0 plane. Medium ha the electrical permitivity ε =.5 ε 0 farad/m and occupie the region to the right of x = 0 plane. If E in medium i ( x y z ) E = u 3u + u volt/m, then E in medium i (a) (.0ux 7.5uy +.5uz ) volt/m (b) (.0ux.0uy 0.6uz ) + volt/m (c) (.ux 3.0uy +.0uz ) volt/m (d) (.ux.0uy 0.6uz ) + volt/m 85. If the electric field intenity i given by E ( xux yuy zuz ) difference between X(0,0) and Y(,,3) i = + + volt/m, the potential Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

19 GATE EC (a) + volt (b) - volt (c) +5 volt (d) +6 volt 86. A uniform plane wave traveling in air i incident on the plane boundary between air and another dielectric medium with ε r = 4. The reflection coefficient for the normal incidence, i (a) zero (b) (c) (d) If the electric field intenity aociated with a uniform plane electromagnetic wave traveling in a perfect dielectric medium i give by 7 (, ) 0 co ( π 0 0.π ) E z t = t = z volt/m, then the velocity of the traveling wave i (a) m/ec (c) m/ec (b) m/ec (d) m/ec 88. A hort-circuited tub i hunt connected to a tranmiion line a hown in Figure. If Z 0 = 50 ohm, the admittance Y een at the junction of the tub and the tranmiion line i λ/8 Z 0 Z 0 Z 0 Z L=00ohm λ/ Y (a) (0.0 j0.0) ohm (c) (0.04 j0.0) ohm (b) (0.0 j0.0) ohm (d) (0.0 + j0) ohm 89. A rectangular metal wave-guide filled with a dielectric material of relative permitivity ε r = 4 ha the inide dimenion 3.0cm.cm. The cut-off frequency for the dominant mode i (a).5 GHz (b) 5.0 GHz (c) 0.0 GHz (d).5 GHz Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

20 GATE EC Two identical antenna are placed in the θ = π plane a hown in figure. The element have equal amplitude excitation with 80 polarity difference, operating at wavelength λ. The correct value of the magnitude of the far-zone reultant electric field trength normalized with that of a ingle element, both computed for φ = 0, i φ (a) π co λ (b) π in λ π (c) co λ π (d) in λ Join All India Mock GATE Claroom Tet Serie conducted by GATE Forum in over 5 citie all over India. Quetion

DIGITAL COMMUNICATION

DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING DIGITAL COMMUNICATION Spring 2010 Yrd. Doç. Dr. Burak Kelleci OUTLINE Line Code Differential Encoding Regeneration, Decoding and Filtering Delta Modulation