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).

View More On Wikipedia.org
  1. alan123hk

    B Proof of the relation between antenna aperture and gain

    Where can I find strict mathematical proof of the relation between antenna aperture and gain which is applicable to any type of antenna ? Aeff = Gain * (lambda^2) / (4*Pi) Aeff - Antenna Effective Aperture Gain - Antenna Gain lamdda - wavelength Pi - 3.14159 Many textbooks just show the...
  2. Y

    Gain calculation of tube class AB output stage

    Hi I don't know if anyone here design tube power amps. I am calculating the gain of the class AB output stage of push pull tubes and output transformer. Class AB by definition has a small signal region that both tubes are working and is operating in pure class A. Only when input signal is large...
  3. Y

    Please check my derivation of the gain of single ended diff amp

    I am having a very difficult time verifying the equations for full differential amplifier. I literally read all the articles I can find from Google. Here is one of the question I think the paper by Jim Karki is wrong. The equation is equation (9). I verified the rest of the equation already...
  4. nothing909

    Expression for closed loop gain of differential amplifier

    Homework Statement The question is Derive an expression for the closed loop gain of the differential amplifier. I have solutions for these questions but the solution for this question is quite vague. Here is the solution: I understand part 1 and part 3, but part 2 I don't. So looking at...
  5. C

    Finding Voltage Gain: Help with Homework

    Homework Statement Homework EquationsThe Attempt at a Solution I can't seem to figure out the answer. Apparently, the right method involves saying that Vs is actually equal to the voltage Vgs + voltage across R1. I don't understand how Vs could be voltage across R1? This is what I have so...
  6. U

    Laser Question - Axial Modes & Gain Saturation

    I am studying laser physics at the moment and there is something that confuses me. The laser output consists of the central laser mode and some axial modes due to constructive interference in the optical cavity. At first there is a high enough population inversion and while the laser works this...
  7. D

    Differential Amplifier with negative feedback

    Homework Statement [/B] Homework Equations Adiff(single-ended)= 1/2gm*ro||Rd β=R2/(R1+R2) The Attempt at a Solution I am really confused as to how to find A. I know the feedback of the circuits around the R2 and R1, but I don't understand how the open loop gain can be found. Can someone...
  8. P

    [Chemistry] How many electrons an element will gain or lose?

    Homework Statement Predict how many electrons will most likely be gained or lost by each element: In this case, Gallium Homework Equations None (that I know of) The Attempt at a Solution [/B] I know that Gallium is a metal, and metals tend to lose electrons to become cations, so I will...
  9. P

    Sliding mode observer gain -- How do I find it?

    Hi, I have a 2nd order of sliding mode observer of the form: \dot{\hat{x}} = \hat{f}(x,t) + \delta f + \Psi(u,y) +[ \frac{d \Omega}{dx}]^{-1} \upsilon where ##\upsilon##: \upsilon_1= \alpha_1 \lambda_1^{1/2} | y_1 -\hat{x}_1|^{1/2}*sign(y_1 -\hat{x}_1) \upsilon_2= \alpha_2...
  10. T

    Heat gain (or Loss) in steady state from Metal Rod

    Hello, I got this problem but I don't know How can Find Heat loss (or gain) - Q3 - from the curved surface of the metal rod to the surrounding. This is the problem: A metal rod, of diameter (d) and length (L), runs between two hot walls at temperatures, T1 (Wall 1) and T2 (Wall 2)...
  11. C

    Gain question (Op-amp/capacitors)

    Homework Statement Homework EquationsThe Attempt at a Solution [/B] My approach was to put them into phasor form and do a KVL loop. However I don't see how I'm going to get Vo/Vs in here? Vs = i(Z1) + i(Z2 parallel Z3) + Vo
  12. Abdul Wali

    Disadvantages of unnecessary increase in PID gain

    hi, I read somewhere that if we increase the PID gains unnecessarily, it will cause more energy consumption of the controller and it will lead to noise and distortion in the practical. May someone please give me more explanation on this?? that how it lead to noise or distortion in practical??
  13. N

    Gain setting on Optometer, what does it do?

    I have an optometer, which I have used to measure the laser power (using integrating sphere and detector). My question is what does it mean with having the setting "auto gain" of 10? Should I have used a gain = 1? I did get results as I expected, but I am unsure what the gain setting means on a...
  14. P

    A Does an increase in gain cause peaks to shift right?

    In a spectrum from an MCA (that is hooked up to a scintillator and PMT), does an increase in amplifier gain cause the peak to shift towards higher channels? I have a source and its really weak so while calibrating my detector, I had to turn the gain up way high to see a peak, but I'd preferably...
  15. Likith D

    Does Adjusting Potentiometer Resistance Affect Volume in Amplification Circuits?

    The above is a circuit i found on the net regarding amplification of volume. I needed to know if increasing the potentiometer resistance (between "cold" and "wiper"; terminal 1 and 2?) in the circuit would increase "volume" Also, i could use a potentiometer resistance ( between "cold" and...
  16. W

    Maximum value of gain if tranistor not to be saturated

    Homework Statement Homework EquationsThe Attempt at a Solution I don't know how to calculate part C) of the question. I'm unsure what saturation of a transistor refers too.
  17. T

    Gain of Electric Circuit: Vo/Vs and Resistance R

    Homework Statement So this problem is on Introduction to Electric Circuits 9th Edition (Richard C.Dorf) This asks me to express the gain of this circuit Vo/Vs by terms of the resistance of R. Homework Equations KCL, KVL, some ideal OP AMP characteristics... The Attempt at a Solution...
  18. RicardoMP

    Covalent bonding - Energy gain

    Homework Statement I'm considering a molecule made by three atoms, each a vertex of an equilateral triangle. Each atom has a covalent bond with its neighbours, sharing their only valence electron. I must estimate the energy gain when creating the molecule, using tight binding theory. Homework...
  19. T

    Gain of active semiconductor gain medium

    Homework Statement Homework Equations γ=α+(1/2L)ln(1/Γ1Γ2) where gamma is gain, alpha is absorption constant, and Γ are reflection coefficients. The Attempt at a Solution I'm a little stuck on how to start. If there was no semiconductor gain medium in the cavity then I could just use the...
  20. whatphysics

    Finding closed loop gain and Ip and In current in op amp

    Homework Statement Finding closed loop gain and Ip and In current in op amp Homework Equations - The Attempt at a Solution I started by trying getting voltage divider for points between R1 and R2 as (R2/(R2+R1))Vs and between R4 and R5 similarly. And I'm not sure how to continue on. Any help...
  21. H

    Second order low pass filter with unity gain

    Homework Statement I need to design a second order filter with unity gain. Homework Equations None - not taking component values into account for now. The Attempt at a Solution Is this a correct method of creating a 2nd order low pass filter with unity gain?
  22. Blank_Stare

    Does electricty gain / lose power traveling up / down hill? [Not]

    (I Live in Michigan - no power at home since yesterday, and likely not until Sunday - 4 days, because of high winds.) My software genius boss (really, he's very smart,) is trying to tell me that the reason that the power companies do not bury power lines, is because it costs money to push it...
  23. J

    How to Calculate Heater Gain for a Boiler?

    Hi I am an electronics and communication engineer and hence doesn't know about heat transfer or termodynamics. I need to design a system using PID where I need to control the temperature of water in a boiler by controlling AC power to boiler heater. I don't have the datasheet of the heater. I...
  24. whatphysics

    Finding closed loop gain in ideal op amp

    Hello there, this isn't necessarily a homework question. I came across this qn during revision and didn't know how to solve it. Any help would be greatyly appreciated. The answer is 0.97 1. Homework Statement For the ideal OP-Amp in negative feedback configuration shown in Figure Q30...
  25. Nikhil N

    Opamp as amplifier: Not getting the desired gain

    I want to amplify my input AC,50Hz to 30 times. I just started to test the basic inverting amplifier, with R2=4.7K and R1=1K. I varied the Vpp from 1 to 5 and I observed, I am not getting the gain of 4.7. Why this is happening ? One more doubt that I have is I used 12V Vcc, so if the input is...
  26. Cocoleia

    Maximizing Gain in Op-Amps: Exploring the Ideal Op-Amp Property

    Homework Statement I need to find the gain in this question. Homework EquationsThe Attempt at a Solution I know gain will be Vo/Vs. I did many calculations to end up with Vs being 0. Would this be logical? I know ideal op amps will have infinite voltage gain, so if you divide by 0 then it...
  27. genxium

    Does Wien bridge oscillator have a closed-loop gain?

    Homework Statement By Wien bridge oscillator (abbreviated as WBO below) I refer to this circuit where the op-amp is assumed to be ideal and the output is the voltage drained from the upper end of R3. What confuses me is that I hardly find a reference which explicitly states that a WBO has a...
  28. O

    Electronics Determining Op Amp Gain.

    Homework Statement Determine the Op amp gain of the following circuit. V1 = 1v Vo = 4 V Homework Equations A = Vo/ VI The Attempt at a Solution Using voltage division I determined the voltage for the node at the +ve terminal VI = V1(1k/ ([1000 + 1]k)) = 1/1001 V Vo = 4v Given Therefore...
  29. B

    B How to calculate the gain or loss percentage in short sell?

    A stock, in the first year, cost 128 dollars; in the second, cost 64... D - Price 1 - 128 2 - 64 3 - 32 4 - 16 If I buy 100,000 dollars of this stock @ 128 dollars / share, so, in the second year I will lost 50,000 dollars (50% of 100K). In the third... ok, ok, easy... When I buy stock, my...
  30. Z

    Other What are the problem solving skills you gain from.... (Physics vs. Engineering)

    How are the problem solving skills you gain from majoring in Physics and majoring in Engineering different? I have noticed that a lot of people think you get better at problem solving by majoring in Physics when compared to engineering, and I don't understand why. I mean, they both study the...
  31. A

    Clarifying the Confusion: Op Amp Gain in Non-Inverting Amplifier Circuits

    According to my professor's model answer for an assignment, when we derive the transfer function of an op amp circuit, we have a "K" value, which is the open loop gain of the op amp (I am not 100% certain), multiplied to the op amp circuit (1+R1/R2 for non-inverting amplifier for example). I...
  32. bluejay27

    I Laser Gain Location - Where is it?

    Where is the laser gain located when we discuss about the laser-pumping light source?
  33. J

    A Optical gain peak, PL peak and EL peak: are they same/different

    I need to understand if Optical-gain peak, (Photoluminescence) PL peak and the Electroluminescence (EL) peak are they same or different. If they are the same/different what the corresponding conditions? Would be easier for me if bulk GaAs is used for the explanation (comparison at same...
  34. adamaero

    Predicting AC open-loop gain for an internally compensated op-amp

    Homework Statement An internally compensated op amp has a DC open-loop gain of 1,000,000 (V/V) and an ac open-loop gain of 40dB at 10kHz. Provide the expected gain in dB at 1kHz... Homework Equations Please help, I don't know what to use for an exact answer. The Attempt at a Solution Beyond...
  35. T

    How to gain percentage of atoms that are ionized in balloon?

    Homework Statement [/B] You have two inflated balloons. You rub them against your hair and hang them as shown in the figure. The length of the strings is 50 cm and the angle between them is 50°. For each balloon, what is the percentage of atoms that are ionized? Provide a rough estimate. You...
  36. A

    Antenna gain reciprocity violation of conservation of energy?

    I expect that others have already asked and answers this question but I could not find it with Google searches. My thought of this apparent antenna reciprocity violation is per below. Since antenna reciprocity states that an antenna will have same characteristics whether used a transmit...
  37. ElleD

    Courses How could I gain a career in biophysics?

    Hi, I am currently in the last year of sixth form and looking to go to university. However, I am unsure of which course to take since I equally enjoy learning about biology and physics. Biophysics, seems like it would be the ideal career for me but I am unsure of what pathways I could take to...
  38. P

    B Sets and functions that gain more structure with context

    So I have two sets, call it ##A## and ##B##. I also have a function ##f:A\rightarrow B##. By themselves, it does not matter (or at the very least make sense) to think of ##A## and ##B## as, say, groups (I'm not really thinking exclusively about groups, just as an example). For that matter, it...
  39. S

    B Carbon-14 to Nitrogen-14 Decay: Proton Gain & No Electron Loss

    How Carbon-14 effectively gains a proton but no electrons when decaying to Nitrogen-14...?
  40. O

    Discrete Differential Amplifier

    Homework Statement Calculating the open loop output Impedance at 1kHz and the open loop differential gain The Attempt at a Solution Here is the approach. INPUT STAGE: Q111 and Q112 Av1 = Rtot/2re, where Rtot is the total resistance of R117 and the input resistance of Q78 which is Rin. So...
  41. S

    Calculate gain of a transfer function without root locus

    Hi, Having a bit of trouble with this question: "Assuming a proportional controller is used, determine the gain to achieve a damping ratio of 0.5, for the following transfer function. Hence calculate the associated natural frequency and oscillation period. G(s) = -4(s+0.4) / s^2+1.6s+14." I...
  42. E

    Does Gaining Muscle Mass Affect Your Vertical Jump?

    I've been bothered about this for a while now. As a volleyball player, I am constantly looking for ways to increase my vertical. So, my question is: Will an increase in muscle mass decrease my vertical? On one hand, I am getting stronger and therefore should be able to push harder off the...
  43. T

    Transistor current gain in saturation mode

    Hi, I want to operate my transistor as a switch. I am using this one Datasheet: http://www.farnell.com/datasheets/1868820.pdf In the data sheet, it says the DC current gain hfe = 110 which I am assuming that's for the linear operating region ?, so if my hfe is less than 110 then will it be in...
  44. Y

    I How to get plot (optical gain of GaAs)?

    How can i calculate this plot (photon energy dependence of the optical gain (or loss = negative gain) of GaAs with the injected carrier density as a parameter? Show calculated plot based on this equation Given parameter: mc=0.067 me; (effective mass of electrons in conduction band) mv=0.48...
  45. G

    Calculating Voltage Gain Vo/Vi of an Op-Amp Circuit

    Homework Statement Determine the voltage gain Vo/Vi of the op-amp circuit Homework Equations inverting amplifer vout=-(Rf/Rin) x vin differential amplifer vout= (R2/R1) x (vo - vin) The Attempt at a Solution im really struggling to even get started with this one sorry for the limited...
  46. K

    What is the voltage gain for this circuit?

    Homework Statement assume β=200,Vt=26mV,Vbe(on)=0.7V Find the voltage gain Vo/Vs How to find the Rth , Vs ,then find the voltage gain? I try to draw the circuit diagram below Homework EquationsThe Attempt at a Solution Vth=[R2/(R1+R2)]*15 Vth=1.63V Which method should I use to find Rth...
  47. S

    What is the Voltage Gain of Vo/Vi in an Op Amp Circuit?

    Homework Statement Find the voltage gain of Vo/Vi. I'm pretty confident I have this down now, but I'd be greatful if someone could confirm I have this sussed. Homework Equations For the inverting op amp: Vo= \frac{-R2}{R1}*Vi For the differential op amp: Vo= \frac{-R2}{R1}(V--V+) The Attempt...
  48. psparky

    Is Voltage Gain Squared Equal to Power Gain in the Log Domain?

    Hey guys, I need confirmation on this. Since V=IR and P=IV...and V^2/R=P Lets say your body has a resistance of 2000 ohms and you get shocked by 120 volts. You receive 7.2 watts of power. Now let's step to the left and get shocked by 480 volts with the same 2000 ohm body. I now get 115.2 watts...
  49. F

    Engineering Understanding the Gain and Bode Plot of a Low Pass Filter Circuit with C1 > C2

    The question wants to know the gain of the this circuit, as well as a bode plot for the frequency response, and what type of filter this is when C1 is much greater than C2. Could someone double check my answers and assist in the bode plot? My attempt: For the Gain: If C1 is much greater...
  50. TheOfficialAB

    LASERs: Why is population inversion required for amplification?

    Hi, I'm doing a module on quantum optics and lasers. Most of the texts and online source I have read simply state that 'population inversion is essential for amplification in laser operation'. My question is, why? Amplification/Gain is essentially the result of stimulated emission. Can't...
Back
Top