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. E

    Finding gain in series of amps and attenuators

    Homework Statement Please see the attached drawing. Find levels at A and B. Homework Equations voltage gain in dB = 20log(V_out/V_in) dBu defined: 20log(V/0.775V) The Attempt at a Solution First question, since I know the level before the first amp, can I disregard the impedance...
  2. O

    Polymer volume swelling vs weight gain

    Does the volume swell ratio relate to the weight gain when a crosslinked polymer is emersed in a solvent? Is it as simple as calculating (delta V) = (delta w)/density?
  3. P

    Does weight change in an elevator?

    Does an object gain weight? When a person is in an elevator and the elevator begins to go up...Does the person actually gain weight? I know mass will not change obviously, but does the variable "g" vary due to acceleration?
  4. B

    Calculate Satellite Gain: Earth-to-Sphere Ratio

    This is not a connection. I just want ot know how they dervied this formula from gain Consider a geosynchronous satellite whose global beam covers all of the visible Earth's surface. The radius of the Earth is about 6400km, and the altitude of the satellite is 36,000km. How would you work...
  5. T

    How can i know the current gain of transistor fom its data sheet?

    how can i know the current gain of transistor fom its data sheet?? when i open a datasheet for a certain transistor i find a relation between Ic and Hfe at a certain Vce (ex Vce=4 volt), did this relation only correct at that Vce ? and if its that how can i calculate the Hfe for a certain Ic at...
  6. R

    Voltage gain for Common Source Degenerative MOSFET

    Homework Statement We are going over gain, Gm, Ro, and Rin for MOSFETS. We are told to know and memorize certain equations and how to get these equations. In this particular problem we are told to find voltage gain by analyzing small signal. My professor gave this as the answer: (-gm*...
  7. A

    NpN bipolar transistor current gain

    I have been studying npn bipolar transistors and how to apply gain to the current in a circuit, yet i simply do not comprehend how altering the base - emitter current can effect the emitter - collector current, can anyone here explain how altering the base - emitter current effects the emitter...
  8. L

    System Control - Proportional Gain and a Delay in Series

    Hi, Just wondering if anyone could give me a few pointers in the right direction for this... thanks! Homework Statement Incredibly long problem statement so I'll summarise and ask more about the concept: I have a Plant and Controller set up in the form of a usual control system. The...
  9. L

    Calculation of gain for pellet with some layers

    hi, i have a target with some layers and different densities, for calculating target gain, what model is suitable ? can i use from isobaric model? or another? please describe it for me. i use from heavy ion beam as driver and i use from direct-drive scheme. thank you very much.
  10. J

    Non-Inverting Non-Ideal OpAmp Gain

    The first part of this problem was to find the gain using an ideal OpAmp. I am on the second half of this homework problem, where we find Vout/Vin, aka Gain, using a non ideal OpAmp. The attachment is the picture of the circuit. I know that since the OpAmp is no longer ideal A no longer...
  11. J

    Can a golf ball gain speed when it goes round the hole and doesn't drop?

    When a golf ball goes round the hole and doesn't drop (bit like an orbit), it often appears to leave the hole faster than it went in. My understanding of physics tell me that this is not possible, as any speed gained from gravity when it dips slightly into the hole, is lost when it gains height...
  12. M

    Water Temperature gain calculation

    Water is being pumped into a tank on a ready mix concrete plant in Palm Springs CA Water is chilled to 45 degrees into a 18' x 3' tank with 1/4 inch steel walls. Depending on ambient air temperature, how long will the water take to warm from 45 degrees to 65 degrees. Is there a...
  13. J

    Do Electrons gain mass in an electrostatic potential?

    Hi, I have been looking into the phenomenon of Zitterbewegung which is a high frequency oscillatory motion of the electron that is predicted by the Dirac Equation for a free electron. One way of looking at this motion is that it is the interference of plane waves with positive and negative...
  14. R

    Exploring Light's Energy: How Does It Gain Enough to Speed Up?

    Light travels through a medium and its velocity is (assuming that the medium has an index refraction greater than 1) consequently slowed. Once the light passes through the medium, though, the velocity at which it travels accelerates back to the rate it had prior to entering the medium. How...
  15. EnumaElish

    Weight Gain and Economic Insecurity

    I doubt that the people who gained weight had actually looked at their options and decided that gaining weight would be the optimal course of action that would minimize uncertainty. If, so how can it be an "optimal response"? Isn't it more like an "irrational response"?
  16. T

    Transistor beta(dc current gain)

    i am tring to use transistor tip 41c , and i want to calculate Ic ,,, knowing that ( Ic=B*Ib) but when i try to know BETA (B) from the data sheet of the transistor i found that it vary with the collector current (Ic) and the graph show the relation between (Ic) and beta in case Vce=4 volt...
  17. M

    Energy gain in a resonant system

    Something is bothering me about passive systems in resonance. Consider the Bode plot of a second-order system, for example: http://en.wikipedia.org/wiki/File:Harmonic_oscillator_gain.svg Let's say we excite this system near its resonance, so the system has a gain > 1. I don't understand...
  18. D

    Gain of an Amplifier: Av & Gv Explained

    I am studying the design of an amplifier in common emitter configuration. I am studying from microelectronic circuits by sedra and smith. the author has described two terms for gain of a amplifier. one is the represented by Av and is called the voltage gain of that amplifier and the other is Gv...
  19. C

    What gain guiding and index guiding mean in the context of lasers?

    Does anyone know what gain guiding and index guiding mean in the context of lasers?
  20. N

    Pressure gain from water dropped from a height

    if an unlimited source of water was dropped twenty meters directly downwards into a meter cubed steel box through a hose, would there be the same psi in the box as there would be twenty meters under the sea?
  21. L

    Understanding the Relationship Between Voltage Gain and Power Gain in dB

    Why is voltage gain in db given by 20 Log (v2/v1) but power gain is straight forward : 10 Log (p2/p1).
  22. C

    Would this internship really help me gain relevant experience?

    I just graduated with my BS degrees in physics and applied math this December 2009. After taking a few mechanical engineering classes, I'm certain that I want to enter pursue a career in mechanical/aerospace engineering. I'm especially interested in working with aircraft, missiles, satellites...
  23. F

    Determine Posititive Feedback Gain in an Oscillator

    NOTE- Images are thumbnails, click to enlarge Homework Statement Show that the positive feedback gain expression for the circuit below is v2/v0 = 1/[3 + j(wL/R - R/WL)] (anything in red I added to the original problem) Homework Equations (above)The Attempt at a Solution Along with the below...
  24. D

    Finding the differential function for mass gain over time

    This is simply something I've trying to figure out for a long time, not an actual homework question, but felt this was the best place for it. Homework Statement A small gravitational object is surrounded by an expanse of hydrogen in otherwise flat empty space. At any given instant, due to...
  25. S

    Understanding Current Gain in Push-Pull Amplifiers

    I'm trying to figure out the currubt gain for a class ab push pull amp. I know that it's basically two emitter followers, so am I correct in assuming that the current gain is just Beta?
  26. M

    Deriving DC and HF Gain of Filter: Need Help with Calculations?

    Homework Statement I need to find the DC and high frequency (HF) gain of this filter: http://www.flickr.com/photos/96575810@N00/4420162040/ (The url is [PLAIN][PLAIN]http://www.flickr.com/photos/96575810@N00/4420162040/ in case that doesn't work) Homework Equations The book defines...
  27. F

    Why Does an Electron Not Gain Mass Moving Near the Speed of Light?

    hi there i was wondering that why does not an electron or any other subatomic particle gains mass even when they are moving quite close to the speed of light like when beta particle is accelarated from a radioactive source it,s mass does not change why?
  28. K

    Nonlinear gain in a SHG crystal

    I'm not a native English speaker so I need some clarification about the term "nonlinear gain" concerning a laser experiment. In detail I'm working on a lab report where I'm supposed to estimate the nonlinear gain of a KTP crystal in a Nd:YAG LASER using the intracavity second harmonic...
  29. A

    Not getting proper gain in opamp LM324N

    I used LM324N(4 opamps on 1 chip) from ON semiconductor to build an Instrumentation Amplifier circuit. I chose the values of the resistors so as to give a gain of 640. But when i checked the gain on the CRO the gain was around 175. What problem could this be? Datasheet...
  30. H_man

    How Does Antenna Gain Influence Signal Power Calculations?

    Antenna Gain?? :confused:Hi all, I am really confused by the subject of antenna gain. I have no problem with the idea of the idea that an antennas performance should be related to how welll it focusses radiation relative to an isotropic emitter. Bus as this gives a figure greater than...
  31. S

    How Do You Determine Gain and Parameters from a Bode Plot?

    Homework Statement Transfer function: G(s) =\frac{k}{s^{2}+2\varsigma\omega_{n}s+\omega_{n}^{2}} a) if u(t) = cos(2t), find the steady state response b) determine the values for k, damping ratio (\varsigma), and the natural frequency. Homework Equations The Attempt at a Solution...
  32. G

    Op amp bandwidth and gain problem

    Could sb explain to me how to calculate the 3db frequency of the inverting op amp, please? 1. For non-inverting op amp If Bandwidth gain product is 1.5x10^6 Hz and gain is 20dB then the F3db is given by Bandwidth gain product over 20. It equals 150kHz. 2. For inverting op amp the F3db is...
  33. A

    Temperature Fusion (heat gain = heat loss)

    Homework Statement If 10 kilogram of ice at zero degrees celsius is added to 20 kilogram of steam at 100 degrees celsius, what is the temperature of the resulting mixture?Homework Equations uhm... perhaps how many solutions are required to arrive at the answer?The Attempt at a Solution I and...
  34. e2m2a

    Paradox of Energy Gain: Exploring a Thought Experiment

    The following thought experiment describes the energy gain of a system that defies a classical explanation. In this experiment we assume no friction and all velocities are at sub-relativistic speeds, hence, Newtonian mechanics applies and Galilean transformation is adequate. Suppose we...
  35. J

    How Do Black Holes Increase Their Mass Despite Observational Paradoxes?

    This question was asked by a friend recently, and I couldn't give an answer! To an observer on the Earth, when anything falls towards a black hole, it never actually crosses the event horizon. Therefore, from our observational point of view, how do black holes gain mass? As time goes by, all...
  36. K

    What is the most efficient way to gain mathematical insight?

    Hi everyone. Little bit of my background: Im currently studying mathematics in the third year at university (or maybe you call it college in your country), and I have two more years left. I feel that I have affinity for physics and maths, and it is something I really want to master. My...
  37. Q

    Exploring Spring Energy: Loss & Gain

    A spring has an unstretched length of 0.650 and a weight of 0.400kg is attached and gently lowered till eqm point is reached. The spring is then stretched by a distance of 0.200m. Loss in gpe=mgh=0.200x0.650x9.81=0.785 J Gain in EPE=0.5 Fx= 0.5 x 0.400x 9.81 x 0.200=0.392 (?) Actually I...
  38. S

    Fusion Reaction: Kinetic Energy Gain & Energy Source

    In a fusion reaction, the nuclei of two atoms join to form a single atom of a different element. In such a reaction, a fraction of the rest energy of the original atoms is converted to kinetic energy of the reaction products. A fusion reaction that occurs in the Sun converts hydrogen to helium...
  39. I

    Troubleshooting Series LC Filter: No Resonance, Voltage Gain, or Current Output

    I'm having problems filtering out certain frequencies from others with a series LC filter. I have a 1.923 Henry DC filter choke inductor set in series with a 0.1 micro Farad capacitor. I send the signal through the inductor to the capacitor and output from the other side of the capacitor. I'm...
  40. A

    Interfierence with infinite gain op amp

    guys I'm making this color sensor.i have used 2 RED LEDs as both sensor and emitter. I have used TL084 op amp in infinite gain mode because Sensor LED generates very small voltage. my problem is op amp is too sensitive so it reacts when i tough circuit or negative wire (some times even my...
  41. A

    Gain Bandwidth Product: Voltage & dB Gain Explained

    If anyone know pls tell me in Gain bandwidth product, gain in what manner (dB or voltage gain (Vo/Vi)) ?
  42. A

    Gain Bandwidth Product: dB or Voltage Gain?

    If anyone know pls tell me in Gain bandwidth product, gain in what manner (dB or voltage gain (Vo/Vi)) ?
  43. U

    Gain in inverting and noninverting opamps

    Can you explain the yellow highlighted portions (the derivation part)? How do we get to know which voltages to subtract? Is there also a good link which provides a good explanation of negative feedback mechanism? Correction: (V2 in fig 18.28 is actually Vin)...
  44. M

    Analyzing the LOAD Resistance Effect on JFET Gain

    Homework Statement What will the effect of LOAD resistance of the GAIN of a n channel JFET ??
  45. ShayanJ

    Gain Formulas in Physics with the Correct Computation | F=ma, m=m0√(1-v²/c²)

    \left \begin{array} \mbox{F=ma} \\ \mbox{m=\frac{m_{0},\sqrt{1- \frac{v^2,c^2}}}} \right\{ \Rightarrow F=\frac{m_{0} a,\sqrt{1- \frac{v^2,c^2}}} Is the above computation a right way to gain formulas in physics and is the gained formula from above computation a right one? thanks alot
  46. T

    Do what? exercise may make you gain weight?

    i don't see how this makes any sense at all. http://www.time.com/time/health/article/0,8599,1914857,00.html
  47. B

    Common base amplifier current gain

    Hi folks - I'm trying to follow along in a textbook the derivation of the common-base current gain equation, and I'm having a bit of trouble. The common base current gain is supposed to be approximately \alpha, where \alpha = \frac{\beta}{\beta+1}. Doing a nodal analysis with the signal applied...
  48. S

    Gain Margin, Open or Closed Loop?

    Homework Statement I'm given a closed loop transfer function with a gain, K=1 and a plant H(s). I need to find the gain margin of the system. Homework Equations I know how to solve this problem: a) I find the frequency where the phase is -180 degrees. b) I find the gain at that...
  49. R

    How Can You Increase the Static Current Gain of a BJT?

    static current gain of BJT? to increase the static current gain of a BJT what should i do ?//////// 1.base is made thin and heavily doped 2. collector is made thick and heavily doped 3.base is made thin and lightly doped 4.emitter is made thin and heavily doped its an MCq...
  50. S

    Experience god do we then gain knowledge of god?

    ok I'm beginning to read a bit of kant... so what i understand is that we can only GAIN KNOWLEDGE by using concepts and applying it to experiences. it goes to say that we can not know god in this case because we can never experience god? a question someone asked me when i was discussing...
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