What is Gain: Definition and 416 Discussions

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. S

    CE amp midband gain and PSPICE

    I’m in the process of writing a lab report after testing a cascaded common-emitter amp. The second transistor input is the collector output (collector to base) which I understand to be an emitter follower? I have used PSPICE to measure the gain when a 20mV signal is applied and I have...
  2. WannabeNewton

    Book(s) to gain practice with green's functions, spherical harmonics

    Hi guys! I was wondering if anyone knew of a particularly nice book that taught one how to solve physics problems that need the use of green's functions and/or spherical harmonics. I can't seem to find a book that actually does this other than Jackson but I'd rather not tread there (I'm guessing...
  3. C

    Diversity gain in Wireless Communications

    What is meant by achieving "full diversity gain over Rayleigh fading channel"?
  4. B

    Control Systems Engineering : Masons Gain

    Homework Statement Here is the system I am looking at Homework Equations So I worked out a formula for the steady state error and put it in a form similar to masons gain formula The Attempt at a Solution But when I try and draw a block diagram and work out e I get...
  5. B

    Automotive Removal of EGR system: performance gain or loss?

    Hi, I'm trying to put a long open-ended debate to rest. For those who don't know, the EGR, Exhaust Gas Recirculation, system takes some of the exhaust gas and reintroduces it into the intake manifold. From what I understand, at 1600°C NOx is formed because air molecules, nitrogen N2 and...
  6. beyondlight

    Engineering Electronic Circuits-Compute voltage gain for OP-amplifiers

    Homework Statement We got the following circuit: http://tinypic.com/view.php?pic=1zl7xg2&s=6 u_in is input u_ut is output The Attempt at a Solution I assumed that the upper amp has voltage u_in on the positive terminal. And that the lower amp has voltage 0 V on the...
  7. DiracPool

    How does mass gain at high velocities affect acceleration and inertia?

    Every schoolboy knows that a principal reason that nobody or no thing can go faster than the speed of light is that we gain mass at relativistic speeds approaching c. However, I have yet to find an explanation as to how that mass gain manifests itself in the accelerating body. Say we have a...
  8. JJBladester

    Two-stage pass-band filter - Overall gain

    Homework Statement When calculating the overall gain of a two-stage pass-band filter, can one simply add the gain from the high-pass filter (R1/C1) to the gain from the low-pass filter (R2/C2)? Homework Equations N/A. The Attempt at a Solution For example, if the gain from the high-pass...
  9. M

    Engineering Constructing an op amp circuit of variable gain neg to pos

    Homework Statement Suppose you are given an ideal op amp, an ideal voltage source with voltage Vs, 5 resistors with resistance R, and one variable resistor whose resistance can be adjusts continuously between .2R and R. Use these components to design a circuit, assuming ideal op-amp behavior...
  10. Q

    Which resistors should I use to generate a gain of 15 on an inverting amplifier?

    I have the set of values for resistors available: 10-12-15-18-22-27-33-39-47-56-68-82 And I need to get a gain of 15, which values should I use to get this? Also, I have a non-inverting amplifier, and again, I need a gain of 15. I selected the values: R2=12 and R1= 68+82+18=168 I assumed I was...
  11. R

    Determining the gain of an op-amp with feedback?

    Homework Statement Homework Equations I have two "golden rules" I was given which are "no current into the op-amp" and V_{-} = V_{+} and the open loop gain is infinite Basically my notes and textbooks are leaving me with pretty much nothing though The Attempt at a Solution tried...
  12. S

    Finding the loop gain of an oscillator

    Homework Statement Okay, so I know that I have to find the gain of the negative feedback part (1+ R2/R1). But then to find the transfer function of the bottom part of the oscillator, would the resistor and capacitor that are attached to the '+' terminal of the op amp be considered in...
  13. L

    Control system - open loop transfer function and open loop gain

    control system -- open loop transfer function and open loop gain Is there any difference between open loop transfer function and open loop gain ?
  14. J

    How do I see the gain from this Bode plot? (simple)

    This is the Bode plot of a Broadband Bandreject Op Amp amplifier. The exercise says this: I know that in order to get both cutoff frequencies I need to subtract 3 dB from the plot, but how do I get the gain? I would think that the gain is 3 dB because it is also the distance between the top of...
  15. L

    Discover the Amplifier's Gain in dB with Our Easy Calculation Method

    An amplifier increases the peak-to-peak voltage of a signal from 1 V to 20 V. What is the amplifier's gain in dB? dB = 20 log10 (Vout/Vin) In this case dB = 20 log10 (20/1) I'm not sure :/
  16. P

    Absorption and Gain for Lasers

    Homework Statement If a round trip gain in a 56.8 cm long laser is 5.16%, what is the net gain coefficient (g-\alpha). g is the small signal gain coefficient \alpha is the absorption coefficient L-length of cavity Homework Equations The Round Trip Power Gain: Gr= R1*R2*...
  17. F

    How do neutrons gain energy from phonon scattering?

    So during neutron scattering in a crystal, a neutron can interact with 0, 1, or more phonons. First of all, what is the actual mechanism by which they interact? My textbook just kind of glosses over that. Second of all, when a neutron goes in it can absorb a phonon and come out with more...
  18. Z

    How Do You Determine the DC Gain of a Second Order Transfer Function?

    What steps I have to follow to find the DC gain of the second order system with a transfer function ? Putting "0" where I see "s" or taking the limit as "s" goes to infinite ?
  19. S

    Gain bandwidth product from bode plot

    Can anyone tell me how to find the gain bandwidth product from bode plot of a unity gain circuit for the attached bode plot? I hv attached the circuit and bode plot ...
  20. I

    Gain bandwidth product of unity gain opamp

    i have attached a bode plot and the opamp dc second order lpf circuit. the opamp Tl082 has a gain bandwidth product of 4Mhz according to the datasheet. this circuit has a bandwidth of 414.25khz. can we determine the opamp' individual gain-bandwidth product from this plot ?? if yes , how do we...
  21. dexterdev

    Confusion in Power gain and voltage gain in decibels

    Hi all, I have a very basic doubt. If we have an amplifier with voltage gain A = Vo/Vi , where Vo is output and Vi is input voltages and Ap = Po/Pi which is power gain. Ap = Po/Pi = Vo^2/Vi^2 = (Vo/Vi)^2 In decibels powergain = 10 log (Po/Pi) = 20 log (Vo/Vi). In most tech...
  22. D

    Engineering How to calculate gain in a circuit

    http://imgur.com/K5nPY a) Determine the voltage gain of the amplifier, Vout / Vin, in terms of the parameters in the given circuit. b) Determine the overall voltage gain between the source and the output, Vout / Vsourse, in terms of the parameters in the given circuit. Attempt at...
  23. L

    Dependent sources - can the gain (g) be negative?

    So the goal in this case is to find k, the gain of the dependent source shown as a diamond. Formula for dependent voltage sources: V=g*V0 In this case V=k*Va I would get a negative value for k, because k=V/Va=-10V/(0.2A*10Ω)=-5 But can you have a negative value for k? Is that possible? Or...
  24. K

    Calculating Voltage Gain for Electrical Circuits

    Homework Statement I've been reviewing my electrical theory and I'm having trouble trying to calculate an expression for the voltage gain for these two specific circuits. (Images c and d of the question.png attachment). I already know the answers, however I am unable to derive the same...
  25. R

    Determine the gain of the proportional controller.

    The block diagram (attached) shows the control of an electric heating system. 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 the ambient...
  26. Z

    Electron affinity and electron gain enthelpy

    Hello, I was wondering if someone might be able to explain these terms. Specifically, the difference between them. From what I have read they seem to describe the same thing, i.e. the enthalpy change involved in: X(g) + e- → X-(g) I am sure there is a difference that I am just not...
  27. C

    Is it true? we don't gain weight more than the weight of food we eat?

    Hello, Chitose here Just as the topic said, I'm I right? to believe that our body never gain weight more than weight of food we eat (and drink). 'cause mass won't come from nothing. we eat 100g of food, when it came out is less than that, part of it become our body mass (weight, height...
  28. P

    Ionization Enthelpy, Electron Gain Enthelpy and Electron Affinity

    Ionization Enthalpy is defined as the amount of energy required to remove an atom's electron (can be valence or consecutive) ... this definition doesn't sound so complex. The definition of Electron Gain Enthalpy - it is the amount of energy required to add an electron. But, what is Electron...
  29. D

    Gain & Transfer Function - Difference?

    I know the transfer function = Laplace{output}/Laplace{input}, while gain = output/input, but why is that matter? The ratio will still be the same (or is it?). And if there is a distinct different, is the result of the mason's formula using signal-flow graph a gain or a transfer function...
  30. O

    Negative feedback - Open loop gain question

    This is my first post here. I'm currently learning about Negative feedback. Normally, When we want to know the open loop gain, we rewrite circuit(a) to circuit(b). My question is why do RE1,RF,RE2 from circuit(a) turn into what we see circuit(b)? what is a theory behind this? In...
  31. F

    Transistor Gain Calculation for Amplification: Requirements and Calculations

    Homework Statement If a transistor circuit is used to amplify a 2.5 mA signal to at least 0.1 A, what must be the minimum gain of the transistor circuit? b. Assume the amplifier consists of a number of transistors in series, each with a gain of 10. How many transistors are needed in...
  32. Pengwuino

    Medical Strength training while dieting = weight gain?

    The title is a bit deceptive but I've been very curious about something that many people who diet have found. Over the course of a few months, I was losing weight at a steady pace of 2lb/week. At one point I decided to make the most of my gym membership and start doing resistance training as...
  33. N

    Why when two conductors connected by a conducting wire gain the same potential?

    Why when two charged conductors connected by a conducting wire gain the same potential . Lets say we have two spheres of different charges why when we connect them by a single copper wire they gain the same potential Thanks in advance
  34. M

    Calculating variable gain for difference amplifier

    Homework Statement http://img706.imageshack.us/img706/263/hwstatement.png Homework Equations KCL/Node voltage method Ideal op-amp rules The Attempt at a Solution I solved a previous, similar problem where the gain was fixed and the resistor mass going into the inverting and noninverting...
  35. H

    Controls, Filters, Bandpass, Gain

    What is effect on closed loop when one has unity gain at the center of the pass band for an open loop ? Is this desirable? If not how could situation be improved? Are there any consequences for the suggested improvement?
  36. J

    Find the gain in a non-ideal op amp - check my logic

    To start I have attached an image of the circuit. We are to relate the V_{0}to V_{s}. I am not exactly sure where to start with it. I know that V_{-} and the V_{+} on the op amp have to have the same voltage. The resistor that bridges the two inputs is throwing me off. Not sure if this is the...
  37. H

    Helium-Neon LASERS gain bandwidth

    Homework Statement A helium-neon (He-Ne) laser has a gain bandwidth (denoted here as the frequency interval over which the laser gain equals or exceeds the minimum threshold gain) given by ΔG= 1.0 GHz, centred on the λ = 632.8 nm emission wavelength. Show that in order to tune the...
  38. K

    Find Voltage Gain: Deriving Vgs=Vds - Small Signal Circuit

    can someone please tell me how did they derive with the above equation? my point of view: Vgs = Vin Vds = Vout so how did they even get Vgs = Vds? below shows the Small signal circuit: might be a stupid question to ask. but i am really confuse on when to look at the original circuit, when...
  39. D

    Understanding h_{ie}: Emitter Current Gain in a Voltage Follower

    I am going through some notes on a very simple BJT circuit setup as a voltage follower. It is simply an NPN with its collector connected to a voltage source, its base connected to a signal, and its emitter connected to a load resistor to ground. A schematic is attached. Now he setup a...
  40. I

    Building a JFET Transistor Cascade for Gain, Linearity & Stability

    I need help on how to cascade two or three Jfet transistor and the calculation of the values to have a good amount of gain. The cascade also should help in providing good linearity, have less distortion and should stable good stability.Thanks, good help will really be appreciated by me.
  41. V

    Transfer function from Gain Margin and Phase Margin

    Would it be possible to get the Transfer Function of a System if Open Loop Gain Margin and Phase Margin are known.
  42. K

    Do photons gain mass in the presense of a black hole?

    I understand how gravity can affect photons or light waves (Einstein's equivalence principle). But I was wondering if there are any theories that predict that a photon might somehow acquire mass in the presence of a singularity.
  43. A

    Why Does My Circuit's Gain Drop Significantly When Tested?

    I have a circuit which i designed to have gain around 60dB unfortunately when I tried it out the circuit's gain falls short around 30 dB. and also when i tried it out with electrode, the circuit's gain got lower than 25 dB. My problem is what are the reasons that cause this problem and if I...
  44. H

    Will a iron-projectile fired into a barrel-mounted Gauss-coil gain speed?

    I was wondering if a projectile can be introduced to a Gauss-field and pick up kinetic energy when initial speed before coil were about 1000 fps. Or if the ironmass have to be initially fired from the same discharge\stream of flux to gain any speed. And least, would the Gauss-field slow the...
  45. Q

    Simple problem: Gain after n trials given success rate and profibility

    I'm stuck on what I'm sure is a very simple problem. I'm trying to calculate predicted output for my share trading model. For example, for a strategy the probability of it winning on each trade may be 0.4 and hence a loss is 0.6. But for each trade it wins, my account balance is...
  46. K

    Evidence that black holes gain in mass?

    Please correct me if I am wrong, as I have little more than a high school knowledge of physics until I start at university this year - virtually no knowledge of the quantum side of things just yet. ^^ My thought is, as spaghetification occurs as you approach the centre (not using singularity...
  47. H

    Pspice opamp DC open loop gain

    Homework Statement Hi, I am trying to use pspice student to work out a ideal opamp. This is what i did: Homework Equations I have find out the gain for my opamp using simulation. But the problem is how can i find out the DC open loop gain using this software? i have google it and it just...
  48. H

    Trying to gain a better understanding of laboratory experiments

    I'm not nearly as good at laboratory work as I'd like to be. I'm therefore searching for a book (or books) that describe, at an introductory level, the following topics: - Methods of using computer code to interface with hardware (e.g. using GPIB/IEEE addresses to extract information from...
  49. S

    Medical How do calories cause weight gain?

    It may superficially sound like a stupid question with a simple answer, but let me explain in more depth. Calories are units of energy, as you probably know, and grams are the the weight of the food. So calories are not directly related to the weight of a food. Foods range in the amount of...
  50. C

    Relationship between antenna gain and range

    Im trying to expand the range of my wifi network, and I am not sure exactly what to expect from a +27 dbi antenna. As I understand it, this will cause the power density to increase by a factor of 2^9. Does that mean the range will increase by a factor of 2^9? or would it be more like...
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