Gain Definition and 417 Threads

In electronics, gain is a measure of the ability of a two-port circuit (often an amplifier) to increase the power or amplitude of a signal from the input to the output port by adding energy converted from some power supply to the signal. It is usually defined as the mean ratio of the signal amplitude or power at the output port to the amplitude or power at the input port. It is often expressed using the logarithmic decibel (dB) units ("dB gain"). A gain greater than one (greater than zero dB), that is amplification, is the defining property of an active component or circuit, while a passive circuit will have a gain of less than one.The term gain alone is ambiguous, and can refer to the ratio of output to input voltage (voltage gain), current (current gain) or electric power (power gain). In the field of audio and general purpose amplifiers, especially operational amplifiers, the term usually refers to voltage gain, but in radio frequency amplifiers it usually refers to power gain. Furthermore, the term gain is also applied in systems such as sensors where the input and output have different units; in such cases the gain units must be specified, as in "5 microvolts per photon" for the responsivity of a photosensor. The "gain" of a bipolar transistor normally refers to forward current transfer ratio, either hFE ("beta", the static ratio of Ic divided by Ib at some operating point), or sometimes hfe (the small-signal current gain, the slope of the graph of Ic against Ib at a point).
The gain of an electronic device or circuit generally varies with the frequency of the applied signal. Unless otherwise stated, the term refers to the gain for frequencies in the passband, the intended operating frequency range of the equipment.
The term gain has a different meaning in antenna design; antenna gain is the ratio of radiation intensity from a directional antenna to




P

in



/

4
π


{\displaystyle P_{\text{in}}/4\pi }
(mean radiation intensity from a lossless antenna).

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  1. kostoglotov

    How would you compartmentalize this circuit?

    This is not directly a homework question, as I found the answer. The question did not specify that compartmentalization be used, but it was in the section of Cascaded Op Amps, and the general idea of the section is to compartmentalize such complex looking circuits into cascaded stages of...
  2. S

    How to Derive the Voltage Gain Transfer Function?

    Homework Statement Homework Equations The Attempt at a Solution
  3. brainbaby

    Role of gain in amplifier's frequency compensation....

    Hey guys please help me on this... The text says that we have to alter the open loop gain in order to compensate an amplifier. The open loop gain should be reduced below unity before sufficient phase shift develop to cause oscillation in the amplifier at higher frequencies.. My question is why...
  4. P

    Real Part of Gain of LRC Circuit

    Homework Statement Given the circuit below (image uploaded) driven at a frequency ##ω=2πƒ## show that $$|\frac{v_{out}}{v_{in}}|=\frac{1}{\sqrt{1+(\frac{1}{ωτ_{l}}-ωτ_{c})^2}}$$ where ##τ_{c}=RC## and ##τ_{l}+L/R## Homework Equations ##Z_R=R##, ##Z_L=jωL## and ##Z_C=-j/ωC## where...
  5. P

    Why does a moving object gain energy?

    Homework Statement One of the hints to this problem says "An object in motion always gains kinetic energy, so the change in energy of an object starting from rest would be P = m(v^2) / (2t) I understand that a moving object has kinetic energy, but why did they say it gains kinetic energy (or...
  6. A

    Effect of Phase Lead Compensator on Phase and Gain margins

    Homework Statement What is the effect on the phase and gain margins of a system when a Phase Lead Controller/Compensator is added? Homework Equations I have designed the phase lead controller for the system so if anyone wants to see it, please ask The Attempt at a Solution I know, that in...
  7. A

    Effect of Phase Lead Compensator on Phase and Gain margins

    Homework Statement I was just wondering what was the general effect on phase and gain margins when a phase lead compensator was is added to a system. Homework EquationsThe Attempt at a Solution
  8. lasha1

    Transistor 2N4401: DC Current Gain (hFE) for 5V/60mA

    OK. On datasheet of transistor 2N4401 there are many DC current gains (hFE). Which one is useful. I want to use it over 5V and 60mA.
  9. P

    How do we gain energy out of fat?

    "When your body runs out of glucose, it turns to fat for energy, which has 9 calories in every gram. This is a little more than double the amount in carbohydrates. Converting fat into energy takes longer than it does to convert glucose into energy, because fat must be first be broken down into...
  10. LTME

    Controls - gain margin question

    Homework Statement Find the Bode Plot, and the phase and gain margins for the uncompensated system. Homework Equations G = (3.6s+6)/(s(.1s^2+.7s+1)) The Attempt at a Solution I understand the phase and gain margin ideas, but the gain margin hinges on the phase crossing -180 degrees, and in...
  11. teslafanclub

    Energy efficiency Gain or Loss? What do you think?

    Energy efficiency related question: please help with an anwer to the following: Given a flat electrical coil of known dimentions, this coil is used as an induction coil, laid flat, on top of the cooking surface of an induction cooker. Basically, the induction cooker has a copper braided coil...
  12. S

    Find the voltage gain, input and output resistance amplifier

    I am having a difficult time solving the question in Step 2 of the attachment. The question is "Use the equivalent-circuit model of the uA 741 to find: The voltage gain Av=vo/v1, the input resistance R1, and the output resistance Ro of the amplifier circuit. Attempt at solution: I used the...
  13. M

    LNA Gain vs SNR: Can Increasing Gain Reduce Sat Tx Pwr?

    If you have a satellite that is transmitting at X dbm to a ground station, will increasing the gain of your LNA allow the satellite to use less transmit power? It seems like you'd have to improve the SNR in order to increase BER or Eb/No... If you just increase gain of the LNA, then yes, your...
  14. ToonBlue

    Voltage Gain of Booster Converter at 1kHz and 5kHz

    Homework Statement Does the voltage gain follows the a linear relationship when the switching frequency is 5 kHz? and does it still follow the linear relationship when it is 1k Hz? Homework EquationsThe Attempt at a Solution I am doing an experiment on this and I have found out that through...
  15. D

    Peak gain and IP3 of a common-emitter amplifier

    1. Homework Statement Homework Equations Hi all. Lets start with subquestion a). How do i calculate the PEAK gain? The Attempt at a Solution I drew the small signal equivalent and calculated the gain: Av=vo/vi=-gm(ro//R=1kΩ//L//C) Is that correct? How do i now calculate the peak gain...
  16. 9

    Power Loss or gain from a fluid flow

    Hi guys, I have quick question about calculating the power lost in fluid flow. So imagine there is a simple setup as in the attached image, where you know the mass flow in and out, pressures at inlet and outlet and the temperature at the inlet. Is the equation to find the power lost or...
  17. N

    Jobs to gain useful experience in astronomy/astrophysics

    Hey guys & gals, a long time lurker here. For a variety of reasons I have failed to secure a PhD position that I wanted this year after finishing my MPhys degree in physics, so I decided to take a year away from studying, regroup, work towards publishing a paper and then come back with full...
  18. T

    Why is electron gain enthelpy generally exothermic?

    I understand that we need to supply energy to counter the nuclear attraction when we remove electrons and that is the reason ionization energy is endothermic. However, why does an atom release energy when we add an electron to it? And also why do some elements( like the halogens) release more...
  19. Alex Howard

    What should I volunteer in to gain Astro experience for PhD?

    So here is the gist. I just completed my 3rd year of a 4 year Phys and Astro Masters at the University of Exeter, and for the second year in a row, me and all my course mates were passed over for internships because we lack experience (which we can't get because no one will pick us for...
  20. perplexabot

    Engineering Differential Mode Gain and 1/2 circuit

    Hey all! I have been trying this problem for a while and can't seem to get the same answer as the solution. If someone can tell me where I am going wrong, that would be much appreciated. I am very close to the solution, but I am missing a term in the denominator. Everything is shown below! Thank...
  21. F

    Thermodynamics question with heat gain from surroundings considered

    Homework Statement A heater with a variable power is surrounded by ice in a funnel. The heater is turned on on 70W and the ice starts melting. once the rate of dropping of droplets is constant. The mass of water falling is then calculated for 5 minutes and it is found that 0.26 g/s falls every...
  22. J

    What is the role of degeneracies in the condition for optical gain?

    I'm a novice studying laser physics and I came a across the condition for optical gain: \frac{N_2}{g_2} > \frac{N_1}{g_1} This is a basic set up where N_1 is the number of atoms in the lower energy state and N_2 is the number of atoms in the higher energy state. g_1, and g_2 are the...
  23. C

    Coin Toss net gain standard deviation

    When tossing a fair coin 1000 times a player correctly predicts 532 outcomes. Then I think I am right in saying that result is about + 2 Standard Deviations from the mean. sqr root 1000 x .5 x .5 = 15.81. 32/15.81= 2.02.However, if the results of the coin toss are given by a Net Gain/ Loss...
  24. U

    What is the equation for saturation intensity in terms of input intensity?

    Homework Statement [/B] (a) Why does input intensity affect gain? (b) Derive the expression (c) Find saturation intensity in terms of input intensity Homework EquationsThe Attempt at a Solution Part(a) Consider a narrow band radiation as an input, where its bandwidth is much smaller than...
  25. U

    What Is Gain Narrowing in Lasers?

    A laser is amplified exponentially, with spectral intensity I (\omega,z) = I (\omega,0) e^{\alpha z} The small-signal gain coefficient is given by \alpha_{21}(\omega-\omega_0) = N^* \sigma_{21}(\omega-\omega_0) = N^* \frac{\hbar \omega_0}{c}B_{21} g_B(\omega-\omega_0) = N^* \frac{\hbar...
  26. beyondlight

    Calculate gain for differential amplifier

    Homework Statement Calculate gain (u_o/u_i) for a differential amplifier with symmetric output. Both transistors have the same transconductance gm. Transistor output resistance r_0 is neglected here. circuit: http://sv.tinypic.com/view.php?pic=14cea8p&s=8#.VSf7Evl_vxM Homework Equations...
  27. T

    Help Understanding Current Gain Of A BJT NPN Transistor

    I need to know if my formula's are correct for current gain. Sorry for shakey drawing. I know beta would change the dc values slightly but for my prof. it's close enough. Beta AC = 70. DC Analysis VB = R1R2/R1+R2 VE = VB - VBE IE = VE/RE AC Analysis r'e = 25mv/IE Req = R1 || R2 Rout = RC ||...
  28. STEMucator

    How Do You Handle the Negative Gain When Calculating Resistance?

    Homework Statement Calculate ##R_S## given the expression: $$A_v = - \frac{g_m (R_L || R_D)}{1 + g_m R_S}$$ The parameters ##g_m = 1.292 \frac{mA}{V}##, ##R_L = 180 k \Omega##, ##R_D = 18 k \Omega##, ##A_v = 5 \frac{V}{V}##. Homework EquationsThe Attempt at a Solution My question is about...
  29. Electro_vass

    Blackman's impedance formula (Open loop gain)

    Homework Statement Determine the input resistance using blackmans impedance formula. I know all the ressisor values, and transistor data. Homework Equations [/B] Blackmans impedance formula The Attempt at a Solution Our teacher has given us a example on how to find the open loop gain, but...
  30. B

    Calculating Differential Mode Gain - CMRR, Acm, Adm

    Homework Statement http://i59.tinypic.com/1smqlu.png I'm not sure how to calculate differential mode gain Homework Equations I know formuals for CMRR and Acm but not Adm CMRR = | Adm/Acm | Rb/Ra = (1-ε)Rd/Rc
  31. ilovescience85

    Determine the gain of proportional controller

    Homework Statement FIGURE 9 shows the block diagram of the control of an electric heatingsystem. The heater is driven from a voltage-controlled power supply, the voltage V1 being derived from a potientiometer. The output temperature, θO, is subject to disturbances, θD, because of changes in...
  32. D

    Calculating Oxidation State of Nitrogen in 2NO + O2 -> 2NO2

    2NO + O2 -> 2NO2 "Oxidation of NO" So a reactant - 2NO doesn't seem to lose an electron, it only gains an additional oxygen atom. So, I guess, oxidation is also gain of an oxygen? ...
  33. K

    Two electrons repel each other and gain velocity

    Homework Statement Two electrons are held at rest 0.05[cm] apart. what is their relative velocity when they are 1[cm] apart. Homework Equations The potential V from a point charge: ##V=K\frac{q}{r}## The constant ##K=9\cdot 10^9## The work done to move from one point in the field to another...
  34. Ramana

    Unity Gain Buffer with Op-Amp 741 for LVDT Sensor

    Hello, Here need a suggestion on Unity gain buffer using op-amp 741. The output i need in the range according to change in LVDT sensor (resistive type). The output of the sensor is 35mv to 3.5 VDC. The circuit i build using op-amp741 as voltage follower where the output is given feedback to...
  35. M

    MHB Probability question involving finding gain or loss of a game

    I tried using $\frac{1}{13}$ x 30 + $\frac{12}{13}$ x $\frac{47}{51}$ x -10 but it didnt work.
  36. K

    Two-Antenna Method for Gain Calculation

    Can someone please help me understand how two-antenna method is used to measure gain of an antenna ? I could't even find literature on it, please if anyone could even suggest any document that would also be great. Thanks.
  37. R

    Fixed Gain Op Amps | Pre-Set Resistance for Voltage Boost

    Are there any readily available op amps with built in resistors that give a fixed gain, say 5, 10, 50, 100 etc. A lot of times I need to boost a sensor output and I'm too lazy to find/solder resistors do it. I'd rather buy a bunch of pre-set amplifiers that are ready to be plugged in and...
  38. bhobba

    How Does The Electron Gain Its Mass

    I started thinking about this in answering a question on the QM forum on getting the speed of light from QED. Its a massless boson so must travel at the speed of light. Then I recalled that bosons can gain mass from the Higgs so the real reason is the photon doesn't interact with the Higgs...
  39. 1

    Does object gain mass when spinning?

    everyone knows, E= MC^2 + PC^2 but does that apply to spinning objects? when i was small, i always was under an impression that you can create more gravity when you spin the object(well, not classical physics fast) i mean, the displacement is 0, so wouldn't the velocity= 0 and if really gets...
  40. W

    NMOS Common source DC-bias and gain

    Homework Statement VOUT, they mean DC Homework Equations See picture, r0 is neglected also lambda (channel modulation) The Attempt at a Solution I calculate I DS with the formule given: 0.400*(0.5)²=0.1 mA IOUT = 5/25000 = 0.2 mA So the current source has got to be 0.1 + 0.2 = 0.3mA...
  41. B

    How Do You Calculate the Signal Gain of a Low Pass Filter?

    Homework Statement The schematic shows a low-pass filter identical to the one you built in studio. This filter uses a 60 k resistor and a 250 pF capacitor, and the input signal is at 30 kHz. (1 pF=10−12 F)...
  42. J

    What is to gain from colliding protons?

    hi, im new to the whole subject of particle physics. I've searched for a long time and couldn't find an answer to a very simple question. WHY PROTONS?? why did they spend 8 billion dollars to build a collider to collide protons? why not electrons for example? why do they think that colliding...
  43. P

    Where does the electron gain its energy from to keep orbiting?

    Basic leak in Rutherford's model of atom was that electron would emit energy while orbiting around nucleus and this energy loss would lead to electron's spiraling to the nucleus and collapse of both atom and atom model. Then Niels Bohr came with the idea that electron exists only in discrete...
  44. Q

    Kinetic Energy Gain due to Coulomb Force

    Homework Statement Hi guys! I have a problem pertaining to the kinetic energy gained by a point charge from interacting with a another point charge. Here's the problem: A point charge of mass m1 and charge q is placed near another point charge with mass m2 and charge Q. Both charges are of...
  45. M

    How do i gain intuition to learn and remember physics?

    Throughout my life, most of the things I've learned have come naturally, and seem to commit to memory without the need for much effort. However now while I'm in the process of self-studying math and physics, i find that i constantly seem to forget everything i learn and can only make progress...
  46. E

    MOSFET differential amplifier gain

    Hi! Here is my task: For differential amplifier on scheme calculate voltage gains Av1=vout1/(vin1-vin2) and Av2=vout2/(vin1-vin2). MOSFET's M1 and M2 have same characteristics. MOFSTE's M3 and M4 have same characteristics. All MOSFET's are in saturation. Assume that gm*rds>>1. How to use fact...
  47. E

    Calculating BJT Voltage and Current Gain for Given Circuit

    Hi! Here is my task: Calculate voltage gain Av and current gain Ai for circuit on scheme . I don't know how to calculate Ai. I got that Av=-gm*rce*Rc*Rl/(Rc*Rl+rce*(Rc+Rl)) and it matches with solution given in my textbook. I know that Ai=Iout/Iin but which current is Iout? Ai should be...
  48. E

    Engineering What is the Iout calculation for a BJT circuit with infinite gain?

    Hi! Here is my task: Calculate Iout if all BJT's have identical characteristics with β→∞, work on same temperature in forward active mode. Use BJT exponential transfer characteristic. Since β→∞, IB for every BJT should be zero amps and IC=IE. Equation for BJT exponential transfer...
  49. K

    Control System Gain design problem

    Is it possible for a Type 0 Open Loop Transfer function to have 0 steady state error? Context - Control System Gain design to meet a certain steady state error specification. The open loop T.F - G(s)=3/(s^2 +4s+3) (This is type 0 (n=0)) The closed loop T.F is Gc(s)=G(s)/(1+KG(s)), But my problem...
  50. Eagle9

    How quickly does E.coli gain resistance against antibiotics?

    As well-known, the bacteria (particularly E.coli) can gain the resistance against antibiotics. In Wikipedia its mechanism is written: I would like to know: 1) Are there any OTHER mechanisms for gaining the resistance? Can the bacteria gain resistance when it has got antibiotic, LB broth in...
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