The transfer function of the below cirucit 100 10kn v, (s) 100 WHE

please have step by step solution and explain along the way. also please no chatgpt or some sort it is always wrong

x(t) = 4 tSinc(8t)cos(10t). a) What is the mathematical representation of X(w)? Sketch it. b) Compute the Energy of x(t) c) x(t) is sampled every 40 rad/s. The sampled signal is called xs(t). Sketch Xs(w). You don't have to worry about the magnitudes in the sketch or the mathematical representation. You need to write the frequencies in the sketch. d) Can x(t) be recovered from xs(t)? If yes, how?

(a) The analog signal x(t) = sin(60rt) is sampled at 20 Hz. Derive and write down an expression for the sampled signal r[n]. What is the Nyquist frequency for this r(t)?

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This is a practice question from my Introduction to Circuits course. I am having a hard time finding the poles for this. When I implement the circuit in LT Spice, I can see that the cutoff frequency is somewhere around 16kHz, but I can't figure out how to come up with that value mathematically. It is underdamped; so, will have imaginary components, but I'm lost as to how to find them or what to do with them or how to come up with the correct cutoff frequency to match LT Spice. Thank you for your assistance.

A-The analog signal s(t) = 10 cos (20 pit) cos (200 pi*t) is sampled at the rate of 250 samples per seconds. Determine the following: a- The maximum frequency component present in the analog signal. b-Nyquist rate. B- An analog signal having single frequency as 3 kHz is sampled with 5 kHz signal. Describe its frequency spectrum. What will be the output if the sampled signals are passed through a low-pass filter having cutoff frequency at 2.5 kHz? Q2] A-Discrete samples of an analog signal are uniformly quantized to PCM. If the maximum value of the analog sample is to be represented within 0.05% B- Show that the signal-to-quantization noise ratio in an n-bit binary PCM system, accuracy, find the minimum number of binary digits required per sample. where n is the number of bits uniquely assigned to each of the L quantization levels (L = 2n) is 1.76+6n dB with a sinusoidal analog signal input. 15 Q3] A- A delta modulator system is designed to operate at fi ve times the Nyquist rate for an…

What is output signal when a signal x(t)=cos(2*pi*40*t) is sampled with a sampling frequency of 20HZ? a) cos(pi*n) b) cos(2*pi*n) c) cos(4*pi*n) d) cos(8*pi*n)

Find the transient current (a general solution) in the RLC-circuit in the figure below for the given data. R = 6 N, L = 0.2 H, C = 0.025 F, E = 190 sin (10t) V R E(t) = E, sinot Write arbitrary constants as C1 and C2. ll

Q5:Derive the transfer function V.(s)/V:(s) for the electrical circuit shown in figure (5) R 0000 R L R Figure (5)