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Q1: cs) Consider the bipolar cascode amplifier of Fig. 1. a) The cascode amplifier of Fig. 1 is biased at a current of 0.2 mA. Assuming that npn transistors have ß = 100 and VA = 5 V and that pnp transistors have ß = 50, |Va[ = 4 V,and VT = 25 mV (for both npn and pnp), find Ron, Rop, and Ay. (b) Find an expression for the maximum voltage gain achieved in the amplifier. (c) Use the result of section (b) to determine the maximum achievable gain. See Answer
Q2: If the lowest input frequency ofL Fig. 8-32 is 1 kHz, what C value's required for effective bypassing?See Answer
Q3: The supply voltage in L Fig. 8-35 increased to +15 V.What is the output voltage? See Answer
Q4: What is the ac resistance of the emitter diode inL Fig. 8-33?See Answer
Q5: If an ac base current of 100 µAproduces an ac collector current of15 mA, what is the ac beta?See Answer
Q6:Topic: Design of FIR Filters; Fourier methods or window design method Progress Report Includes: • Literature review • Theoretical and practical explanations • Coding, algorithm development, and processing results • Experimental results, if there are any See Answer
Q7:Use MATLAB to perform the following: 1) Record your voice for 2 seconds 2) Play and plot your recorded voice in time-domain 3) Take Fourier Transform of your voice 4) Plot your voice in frequency-domain 5) Create noise (high frequency noise) with multiple frequencies x(t) = a₁ cos(w₁t) + a₂ cos(w₂t) + a3 cos(w3t) 6) Add the noise to your voice 7) Play & plot voice + noise in time-domain 8) Take Fourier Transform of voice + noise & plot signal in frequency-domain 9) Add a filter to suppress the noise 10) Play & plot filtered signal in time-domain 11) Take Fourier Transform of the filtered signal & plot it in frequency-domainSee Answer
Q8:1 (a) Sketch the region enclosed between the curves y = 2x = x² y=x², and find the area of this region. (b) Evaluate T. re dr. [5 marks] [5 marks]See Answer
Q9:2 (a) If u= x¹y+y²z³, where x = rset, y = rs²e-¹ and z = r² sin t, find the value of = du Əs when r = 2, s = 1, t = 0. [5 marks] (b) Suppose that over a certain region of space the potential is given by (x, y, z) = x sin(yz). Find the directional derivative of the potential at the point P (1,3,0) in the direction of the vector v=i+2j - k. [5 marks]See Answer
Q10:3 (a) Find the work done by the force F(x, y, z) = xyi+yzj+zxk in moving a particle along the curve C' given by x(t)=t, y(t) = t², z(t)= t³ 0≤t≤1. (b) Evaluate the double integral 5² 5² √² - 0² 1- v² du dv. 19682 [5 marks] [5 marks]See Answer
Q11:4 (a) Consider the function f(x, y) = (y + 1) (x + cos x). i. Find the partial derivatives af af a²fa²f a² f and дх’ ду’ дх2' дхду dy² ii. Find the Taylor Series for f(x, y) about the point x = 0, y = 0. iii. Find the Taylor Series for f(x, y) about the point x = π 2 (b) The function g(x, y) = 4 X has a first-order Taylor Series of g(x, y)≈1-(x − 1) + (y − 1) + ... which can also be written as y = 1. [3,2,3 marks] g(x, y) 1+ y - x With justification, explain which form is more useful for approximating g(x, y) in the vicinity of x = 1, y = 1. [2 marks]See Answer
Q12:5 Consider the function f(x, y) = x¹ − x² + y² + 2xy +1 (a) There is a stationary point at the origin; Find the location(s) of any other stationary points. [3 marks] [2 marks] (b) Find the nature of the stationary point at the origin. (c) Along the curve y = x², for positive x, what is the minimum value of the function f(x,y) ? [3 marks]See Answer
Q13:6 (a) Find the solution to the differential equation dy dt +6y= 8e subject to the condition that y = 1 when t = 0. [3 marks] (b) The linear differential equation (with non-constant coefficients) t2d²y dy dt 7t- + 15y = 0 dt² (1) has homogeneous solution y = Pt³+ Qt5. Now consider the non- homogeneous equation 2d²y dt² 7t dy dt + 15y = 3t² - 32t (2) i. Find the general solution to the differential equation (2) ii. Find the particular solution satisfying the differential equation (2) together with the conditions that y = 3 and 24 when t = 1. iii. Explain why it would not be possible to satisfy conditions for equation (2) at t = 0. dy dtSee Answer
Q14:I. QUESTION Consider the ideal low-pass analog filter h(t). - H(Q), where e-jd for <i 0, elsewhere. Here d > 0 (s) denotes the delay and S2,> 0 (rad/s) denotes the cutoff frequency. 1) Find corresponding impulse response h(t). 2) For d = 1 (s) and 2 = (27) (10) (rad/s), plot h(t), te [-2, +2] (s). H(S)- N 3) Sample h(t) with a sampling frequency of 30 (Hz) and then use the samples that lie between [0, +2] (s) to causally reconstruct back h(t). Plot the reconstructed signal on the same plot of h(t). 4) Repeat the above with a sampling frequency of 10 (Hz). 5) Comment on the results you get in the above two items.See Answer
Q15:Video presentation is a part of the KI exercise where you use the KI1 content you learned to make a short 7- minute video online. The details of the KI-1 content are given in the separate pre-work assignment. The video presentation should include the following: 1. Introduction of the power management system (the one from your pre-work). 2. Specific key concepts in each of the junior year courses (ECE 311, 331 and 341) that are used in building the power management system. 3. A summary of how specific key concepts are integrated in building the power management system./nA few tips for making the video presentation: 1. Introduce yourself first. 2. Look into the camera when you speak. 3. Speak clearly and avoid using complex sentences and phrases. 4. Accompanying slides can help you make your point, but keep the slides simple and easy to read. A few tips for making the video presentation: 1. Introduce yourself first. 2. Look into the camera when you speak. 3. Speak clearly and avoid using complex sentences and phrases. 4. Accompanying slides can help you make your point, but keep the slides simple and easy to read. 5. Be concise and don't get into too much detail, and keep it within the 7 minute time limit. 6. Try and specifically discuss how topics relate between classes.See Answer
Q16:Problem-1 (a) A twisted pair cable is used to transmit the data at 500 Mbps speed. Is the system's signal-to-noise ratio (SNR) adjusted to 22 dB enough to transmit data at 500 Mbps? Consider bandwith of 100 MHz. (b) What is the SNR required to just adequately transmit at 500 Mbps? Express your answer in decibels for the SNR (SNRdB). Be sure to show your work.See Answer
Q17:Problem 2: Find the channel capacity if a signal is digitized using 3 bits per sample and the allocated bandwidth is 3100 Hz.See Answer
Q18:Problem-3: Find the Fourier series of the following waveform. MA 02 Time, t T2See Answer
Q19:Problem-4: Determine the Fourier series expansion of the sawtooth waveform. x (t) ЛАЙЛА 14 -2T 2T 3ТSee Answer
Q20:Problem-5: Find the energy Ex and Ey of signal x(t) and y(t) shown in the following figure. Sketch signal x(t) +y(t) and x(t)- y(t). Show that the energy of these two signals is equal to Ex + Ey. 1 0 2 1 0 y (t) 1See Answer

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