HW 3

Identify all the TRUE statements below. A) At resonance, there is no voltage drop across the individual reactive elements of the circuit._ B) At resonance, there is no net voltage drop across all the reactive elements of the circuits._ C) To minimize the impact of capacitance in an AC series circuit, set its value close to zero. D) To minimize the impact of inductance in an AC series circuit, set its value close to zero. E) At resonance, X, and XL are always zero. F) At resonance, Xc = X_ and can be very large. G) Decibels on the magnitude axis of the Bode Plot represent voltage gain (or loss). H) Decibels always represent power gain (or loss) which is the square of the voltage gain (or loss). O B O D O E O F

sketch the double side Amplitude and phase Spectrum of the following signal.( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).

If vs = A cos(wt), determine the following by matching a description to a magnitude. di A cos wt - RI (i) (ii) di CAu sin wt - LC - RC - LC RC (vi) (v) (vi) (vii) Figure 1. An expression for the voltage Choose... across the resistor An expression for the voltage Choose... + across the inductor An expression for the voltage Choose... + across the capacitor An expression for the total Choose... current of the circuit Choose... An expression that satisfies Kirchhoff's Voltage law for the Choose... circuit

II. Design the following. N. 1) Design a clipper circuit of clipping the positive cycle of an AC signal of 3V at 2V. Draw the circuit and waveform. Show the complete solution for the output.

Tuned Circuit Design Using a VARICAP   (a)  Refer to the capacitance curves for the Motorola 1N4002 The input  tuning circuit of a standard analog  FM radio is given below.   Specify, that is design for, a voltage, capacitance, and inductance required  to tune the circuit to the center frequency of KUMD-FM which operates at 103.3 MHz.   Sketching and labeling a representative resonance curve is required to support your calculations.  There is no single correct design answer set of values since it depends upon the voltage you initially select to tune your diode.

a)  Derive an expression for the circuit’s transfer function ?(??). b)  Use the result from (a) to determine an equation for the cut-off frequency. c)  Choose values for ? and ? that will yield a cut-off frequency of 15 ???.

The impedance value of an RLC circuit is 30 N (as maximum value), during a resonance with 60 Hz. BW is 20 Hz for the resonance point. a) Draw the circuit and calculate the R, L, C values. b) If we supply a signal with 50 Hz to this circuit, what do you think about the characteristic behavior of the circuit?

Signal Flow Graphs Derive the transfer function for the signal flow graph shown Figure 8. Y1 H5 H, 1 H Y H, H3 13 Y5 H4 Figure 8: Signal flow graph

Discuss how the circuit produces a Frequency Modulated Signal

In Chapter 4, we used the time constant to characterize first-order RC circuits. Find the relationship between the half-power frequency and the time constant.

Q2) An integrated circuit piezoelectric accelerometer is used to obtain a sinusoidal vibration signal at 10 KHz with a random high and low frequency noise around the signal. Design a suitable cascaded bandpass filter to remove the unwanted signals given that the passband region is not less than 2 KHz. Also, sketch the magnitude and phase responses of the filter.

TRUE or FALSE 1.) In time domain represenatation of a signal, a signal with an expression of 220 cos (377t -180) is also equal to -220 cos (377t) 2.) In time domain represenatation of a signal, a signal with an expression of 220 sin (377t +90) is also equal to -220 cos (377t)

Generate a 2 KHz sinusoid with a Peak to Peak Voltage of 2V (+/- 1V), and generate a quantized signal when N=8 and N=16 levels. Calculate Signal to Quantization Noise Ratio (SQNR).

Perform Coherent demodulation of AM (DSB-SC). Compare and discuss the frequency spectrum of Conventional AM modulated waveforms and the DSB-SC waveforms.

Derive the transfer function of the electric circuits.

3. A carrier signal is amplitude modulated by a sinusoid. The resulting AM equation is: VAM = 20sin[2r(800x10³)t] + 8sin[2n(800.6x10³)t] + 8sin[2(799.4x10³)t] a) What is the equation of the modulating signal? b) Sketch the AM wave and label the maximum and minimum voltage c) Calculate the bandwidth of the AM signal d) Calculate the power dissipated by the AM signal to a 75-ohm load

Given the circuit shown in Figure (Q4). a) Find an expression for the transfer function of the circuit. b) Present an expression for the frequency of the transmission zero, w, R1 R2 C2 ww- Vo Figure (Q4)

For the following statements, identify which are True and which are False. If False, please explainin one or two sentences why the statement is False.a) Resonance in an RLC series circuit occurs when the driving frequency is equal to 5 times the natural frequencyof the circuit.b) The maximum power is delivered when the system is being driven at resonance.c) Damped spring-mass oscillators and RLC series circuits do not behave mathematically identically. At all. Period. Please clear explainations. Thnak you

Error propagation. We measure flux (f) and its uncertainty (df). Convert them into magnitude (m) and its uncertainty (dm).   The signal-to-noise ratio can be written as SNR=f/df. What is the magnitude uncertainty when SNR=0.1, 1, 10, and 100?

What is the difference between classical or frequency domain and modern or time domain? And give an example for each domain.

What is the difference between classical or frequency domain and modern or time domain? And give an REAL LIFE example for each domain.

3. By means of drawing demonstrate the sinusoidal signal leading and lagging.

transfer functions question

HW (2): The linear harmonic oscillator ( LHO) ground state wavefunction is given by: Determine the normalization constant N.

Use the image below to help answers parts a and b.in an LRC type circuit series the inductive reactance is XL=484 ohms. and I=0.8 amps is the measured current amplitude.A) In the inductor determine the amplitude of the voltage.B)If the LRC circuit is at resonance frequency find the capacitive reactance.

With FM: Select your answer. During the modulating signal's maximal positive and negative peaks, the maximum frequency deviation occurs. During the zero crossings of the modulating signal, the maximum frequency deviation occurs. The modulating signal's maximal positive peak and zero crossing points are where the maximum frequency deviation occurs. During the modulating signal's maximum negative peak and zero crossing points, the maximum frequency deviation occurs.

Given the state space representation, draw the signal flow graph and find the transfer function.

Q.2: (A) / Snubber circuits are very important to protect the thyristor from high (dt/dt) and (av/dt). Explain the main types of the snubber circuits, and derive the values of the used inductance (L) and capacitance (C).

A discrete time signal is represented as in the figure below.What is the fundamental frequency?a. pi/6b. pi/3c. 2pi/8d. pi

The equation for finding the period, when frequency is kniwn is . .