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451.

A signal with ± 10 V ranged and 1 KHz band width is being digitized using a sample and hold circuit and a 10 bit quantizer. The minimum sampling rate is :

Answer» Maximum sampling rate = 2pfmax V.
452.

The circuit below represents function X(A, B, C, D) as:

Answer» X = A B C(0. D + 0.D) + A B C(0.D + 0.D) + A B C(0.D + 1.D) + A B C(0.D + 0.D) + A B C(0.D + 0.D) + A B C(0.D + 1.D) + ABC(1.D + 0.D) = ∑(5, 9, 13, 14).
453.

The truth table corresponding to the given input digital gate :

Answer» The circuit behaves like NAND gate.
454.

Find E at P(1, 1, 1) caused by four identical 3 C point charges located at P(1, 1, 0), P(- 1, 1, 0), P(- 1, - 1, 0) P(1, - 1, 0)

Answer» E = 6.82ax + 6.82ay + 32.89az V/m r = ax + ay + az r1 = ax + ay r2 = - ax + ay r3 = - ax - ay and r4 = ax - ay ∴ r - r1 = az; r - r2 = 2ax + az; r - r3 = 2ax + 2ay + az r - r4 = 2ay + az = 6.8ax + 6.8ay + 32.9az .
455.

The causal system given below is __________

Answer» It has only zeros at origin. Hence it is minimum phase system.
456.

Find R for maximum power transfer.

Answer» Use Y - Δ transformation RAB= (9 || 18) || (9 || 18) = 3 Ω.
457.

The signal flow graph of a system is shown below:The state variable representation of the system can be

Answer» Let us take two state variable as shown x1 and x2 ⇒
458.

Consider the resonant circuit as shown belowThe circuit is scaled modified so that Z 10 and ω = 10 Radians. Find the required element values

Answer» Impedance scaling factor kx As = 10 Radians ∴ New value for elements are R' = kzR = 1000 x 10 = 10 kΩ .
459.

The z-transform of a signal converges if and only if

Answer» For u(n), a right handled sequence, |z| > , |z| = ∴ |3z| > 1; |2z| > 1 ∴ < 1; < 1.
460.

If the characteristic equation of a closed loop system is + 2 + 2, then the system is :

Answer» 1 + G(s) H(s) = 0 s2 + 2s + 2 = 0 ξ < 1, under damped.
461.

Consider circuit with 4 : 16 Demux below: Now:

Answer» f1 = y2 + y6 + y11 + y12 and f2 = y1 + yl0 + yl3 f1(m, n, o, p) = (3, 4, 9, 13) f2(m, n, o, p) = (2, 5, 14) ∴ = Π(2, 3, 4, 5, 9, 13, 14).
462.

The value of the integral is

Answer» Compare this with where s = 3.
463.

The probability density function (PDF) of a random variable X is as shown belowThe corresponding cumulative distribution function (CDF) has the form

Answer» Cumulative distribution function (Pdf) dx Then when we integrate the line from (-1, 0) to (0, 1) we get a parabolic curve. The maximum value of Pdf can be 1.
464.

The system with given pole-zero diagram is __________

Answer» Z transform for the pole zero plot will be Degree of numerator > degree of denominator. Also ROC is not defined. Hence response of the system cannot be determined.
465.

For the waveform shown below, the slew rate and full power bandwidth with respect to op-amp will be respectively

Answer» Full power bandwidth
466.

The impulse response () of a linear invariant continuous time system is given by h() = exp (- 2) (), where () denotes the unit step function. The output of this system to the sinusoidal input () = 2cos(2) for all time , is

Answer» When input is sinusoidal then output is also sinusoidal with same frequency but amplitude and phase changes. Thus amplitude is Phase is tan-1 = 0.25 p Thus y(t) = 2-0.5 cos(2t - 0.25p).
467.

Consider the z-transform X() = 5 + 4 + 3; 0 < || < ∞ The inverse transform [] is

Answer» X(z) = 5z2 + 4z-1 + 3 = .
468.

Find equivalent capacitance if each capacitance is 2 F.

Answer» For capacitor take inverse of value of capacitance and then apply procedure same as in resistance case. After getting the final answer take inverse of result to get Ceq ∴ Ceq = F In Cuboids case, For resistance Req = R Ω with each R = 1 For inductance Leq = L H with each L = 1 H For capacitance Ceq =CF with each C = 1 F.
469.

In a JK flip-flop, J is connected to and K is connected to Q outputs. The JK FF converts into a

Answer» Both the input is opposit to each other hence it is D FF.
470.

An infinite ladder is constructed with 1 Ω and 2 Ω resistors as shown below. Find

Answer» As ladder is infinite ∴ 2R + R2 = 2 + 3R R2 - R - 2 = 0 ∴ R = 2 or R = -1 Negative value of R is not possible ∴ R = 2 ∴ i = 9 A.
471.

Consider the matrix The value of is

Answer» find L-1[sI -A]-1 find inverse Laplace transform of the expression.
472.

Find current flowing through 1 H inductor at = 0, at which switch 'S' is opened.

Answer» For t = 0+ current in L is circuit at t = 0+ ∴ I is Io = 3 A.
473.

A two port network is described by the relation V = 2I + 3V I = - I + 2V Then Z-parameter of such network is

Answer»
474.

Find Y in the circuit below :(E, F) = &Sum;(0, 1, 2, 3)(A, B, E, F) = &Sum;(0, 1, 2, 3, 5, 6, 9)(A, B, E, F) = ∏(4, 7, 8, 10, 11, 12, 13, 14, 15)

Answer»
475.

Calculate the stability factor and change in I from 25°C to 100°C for, β = 50, R/R = 250, ΔI = 19.9 A for emitter bias configuration

Answer»
476.

The star equivalent C C, C of the delta network is respectively

Answer» ∴ .
477.

The logic function (A, B, C) = (0, 2, 4, 5, 6) can be represented by :

Answer» Now the Variable Entered Map (VEM) is:
478.

In amplitude modulation, carrier signals A cos ω has its amplitude A modulated in proportion with message bearing (low frequency) signal . The magnitude of is chosen to be __________ .

Answer» For proper recovery of signal |m(t)| ≤ 1.
479.

For real values of , the minimum value of the function () exp () + exp (- ) is

Answer» f(x) = ex + e-x f(x) = ex - ex f(x) = 0 &Rightarrow; ex - e-x = 0 f'(x) = ex + e-x &Rightarrow; +ve for x = 0 Thus minimum. Minimum f(x) = e0 + e0 = 2.
480.

For a second-order system with the closed-loop transfer function The settling time for 2-percent band, in seconds, is :

Answer» .
481.

An open loop transfer function is given by has

Answer» The root locus is given below. From root locus, we can see that there are 3 zeros at ∞ .
482.

The current () through a 10 Ω resistor in series with an inductance is given by () = 3 + 4 sin (100 + 45°) + 4 sin (300 + 60°) Amperes. The RMS value of the current and the power dissipated in the circuit are

Answer» Power = I2R = 25 X 10 = 250 Watts.
483.

The cut off voltage for JFET is 5 V. The pinch off voltage is __________ .

Answer» For JFET ID = IDSS (1 - VGS/Vp)2 0 = (1 - VGS/Vp)2 ∴ VGS = VP ∴ Vp = 5 V.
484.

The logic realized by the circuit shown in figure below is

Answer» F = A BC + ABC + A B C + ABC = B(AC + AC) + B(AC + AC) B(A ⊕ C) + B(A ⊕ C) (A ⊕ C) (B ⊕ B) A ⊕ C.
485.

An image uses 512 x 512 picture elements. Each of the picture elements can take any of the 8 distinguishable intensity levels. The maximum entropy in the above image will be

Answer» Each picture element can be represented by 3 bits. Thus total entropy = 512 x 512 x 3 = 786432.
486.

A tachometer has a sensitivity of 4 V/1000 . Express the gain constant of the tachometer in the units volts/(rad/sec).

Answer» 4 V/100 rpm = V/rad/sec = 0.0381 V/rad/sec.
487.

Consider the signal = 1 + sin + 3 cos + cos . Then Fourier series coefficients are __________ .

Answer» The signal x(n) = 1 + sinn 3 cos n + cos n + cos is periodic with period N, and we can expand x[n] directly in terms of complex exponentials to obtain Collecting terms, we find that Thus for Fourier series coefficients for this example are a0 = 1, a1 = + = -j, a-1 = - = +j, a2 = j, a-2 = -j.
488.

Find R across the terminals A and B

Answer» There are not independent source in the circuit. ∴ The Thevenin and Norton equivalent will have 0 A and 0 V sources. To find RTH, a 1 A source is connected as Writing a nodal equations at n, 0.01Vx + 0.003Vx + 0.0067Vx = 1 0.017Vx = 1 ∴ Vx = 58.82 V
489.

If a signal has energy , the energy of the signal (2) is equal to __________ .

Answer» Energy content of a signal x(t), E = |f(t)|2 dt Now, E' = |f(2t)|2 dz for signal f(2t) Putting 2t = z, we get E' = |f(t)|2 dz = .
490.

For a npn BJT transistor is 1.64 x 10 H. C = 10 F; C = 4 x 10 F and DC current gain is 90. Find and ( = cut off frequency, C = capacitance, C = parasitic capacitance, = transconductance, = gain BW product)

Answer» ∴ fT = 90 x 1.64 x 108 = 1.47 x 1010 Hz gm = 2pfT(Cμ + Cp) = 2 x p x 1.47 x 1010 = (10-14 + 4 x 10-13) gm= 38 mμ.
491.

The impulse response () of a linear time-invariant continuous time system is described by () = exp () () + exp (β) (- ), where () denotes the unit step function, and and β are constants. This system is stable if

Answer» h(t) = e+atu(t) + eβtu(- t) For h(t) to be stableh(t) dt < ∞ It will happen when a is negative and β is positive.
492.

The probability density function of a random variable is as shown. The value of A is:

Answer» = 1 = 1 Solve this to get value of A = 1/5.
493.

ω =

Answer» R1 = (10 + 10) = 20 kΩ .
494.

A material has conductivity of 10 mho/m and permeability of 4 x 10 H/m. The skin depth at 9 GHz is

Answer»
495.

A fair coin is tossed independently four times. The probability of the event "the number of time heads shown up is more than the number of times tails shown up" is

Answer» 4 heads and 0 tail 3 head and 1 tail .
496.

The steady state error of a stable type 0 unity feedback system for a unit step function is :

Answer» .
497.

An 8 level encoding scheme is used in a PCM system of 10 H channel BW. The channel capacity is

Answer» C = 2B log2 M; M = 8 = 23, log2 M = 3 bits = 2 x 10 x 103 x 3 = 60 kbps.
498.

For the power amplifier circuit shown below, the maximum power dissipated by both output transistor is

Answer» The maximum power dissipated by both output transistor is maximum
499.

An antisymmetric filter having odd number of coefficient may have a performance as

Answer» Consider an anti-symmetric filter response with order 5. h(n) = [h(2), h(1), h(0), - h(1), - h(2)] We know, H(0) = addition of all component values. Hence H(0) = h(0) Similarly H(p) = addition of all component values with alternate negative sign. = h(2) - h(1) + h(0) + h(1) - h(2) = h(0) Hence we get all pass filter.
500.

A periodic rectangular signal, () has the waveform shown in the given figure. Frequency of the fifth harmonic of its spectrum is __________

Answer» The periodic time = 4 ms = 4 x 10-3 s ∴ The fundamental frequency ∴ Frequency of the 5th harmonic = 250 x 5 = 1250 Hz.