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Problem 52: (25 points) Operational amplifiers are important building blocks in a wide spectrum of electronic systems such as amplifiers and filters. The concept of feedback control is of central imp...
Hi-fi audio amplifiers are usually built as discrete operational amplifiers with a relatively large gain (g ? 500) and with feedback that reduces the closed-loop gain to a smaller value k = 32. Since loudspeakers predominatly act like a resistor (nominal impedance: 8 ) with an inductor in series, the feedback network can be used to improve the frequency response in the audio range up to 20 kHz. We are primarily concerned with gain and frequency response of the amplifier....
Hi-fi audio amplifiers are usually built as discrete operational amplifiers with a relatively large gain (g500) and with feedback that reduces the closed-loop gain to a smaller value k-32. Since loudspeakers predominatly act like a resistor (nominal impedance: 82) with an inductor in series, the feedback network can be used to improve the frequency response in the audio range up to 20 kHz. We are primarily concerned with gain and frequency response of the amplifier Amp Vour(s) Rt R2 C1...
Problem 1 Hi-fi audio amplifiers are usually built as discrete difference amplifiers with a rel atively large gain (near 55dB or more) and with built-in feedback that reduces the closed-loop gain to a much smaller value in the range of 30-35dB. Since loudspeakers predominantly act like a resistor (nominal impedance: 42) with an inductor in series, the feedback network can also be used to improve the frequency response in the audio range up to 20 kHz. In this problem, we...
Problem 51: (25 points) Figure 5 is an example of a feedback control system that is designed to regulate the angular position θ(t) of a motor shaft to a desired value θr(t). The signal e(t) represents the error between the measured shaft angle θ(t) and the desired shaft angle θ (t). The Laplace transforms ofa,(t), θ(t), and e(t) are denoted as ΘR(s), θ(s), and E(s), respectively. The control gains Ki and K2 are chosen by the control engineer to achieve...
In the figure below given is the block diagram representation of the DC motor position control system with a combined unity feedback and rate (tachometer) feedback. 2. C(s) R(s) Kp 0.25s+1 s+1 Kv Determine the characteristic polynomial of the closed loop transfer function Using Routh criterion, determine the range for Kp and Kv which make the closed loop system stable. Draw the admissible region for stability on Kv versus Kp plane. In the figure below given is the block diagram...
4 a) List the advantages and disadvantages of using negative feedback in electronic systems b) Draw a block diagram of an amplifier with feedback, labelling clearly the open loop gain Aol and feedback fraction, ?. Show that the gain with feedback is given by Under what conditions is the closed loop gain insensitive to variations in the open loop gain? c) Identify the feedback topology of the amplifier shown in Figure Q6c and hence the amplifier type. Represent the circuit...
D. Since a frequency response as seen in C. is clearly unacceptable, the capacitor Cl is used to decrease the feedback signal at higher frequencies. Components are chosen as follows: R1-320k2, R2-10k2, C1-4.7nF. The transfer function of the feedback network is therefore 10, 000 Ro GRVoUT() urs) RRC1+RR 15.5330, 000 Determine the combined transfer function IsPx(s)/V(s) when the frequency compensation capacitor CI is installed and determine the poles and zeros (if any) of the new transfer function. [10 points] Problem1...
. (15 points) An unstable system can be stabilized by using negative feedback with a gain K in the feedback loop. For instance, consider an unstable system with transfer function which has a pole in the right-hand s-plane, making the impulse response of the system h) grow as increases. Use negative feedback with a gain K> 0 in the feedback loop, and put H) in the forward loop. Draw a block diagram of the system. Obtain the transfer function Gus)...
QUESTION 2 You are asked to design an electronic circuit using operational amplifiers. There are two inputs to the circuit, \(V_{1}=0.1 \sin 100 t V\), and \(V_{2}=0.25 \cos 250 \pi t V\). The output of the circuit is required to be:$$ V_{0}=-\sin 100 t+5 \cos 250 \pi t V $$a. Draw diagram of the circuit you designed.b. Calculate the values of the components.QUESTION 3 An inverting circuit is shown in the figure.a. Derive an expression for \( v_{x} / v_{1}\)b. Derive an expression...
Op-Amp Circuit Stability Although op-amps behave as single-pole amplifiers which are "unconditionally stable," it's still possible to make unstable amplifiers if you don't know what you're doing. The most famous example of this is the voltage differentiator 1. Consider the following circuit: a. Find the expression for this amplifier's ideal gain Aco (s), assuming the op-amp is ideal (a(s) - o. Hint: It's just an inverting amplifier with z and z2 R (5pts) b. Suppose the gain-setting components have values...