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A short description of the workings of an op-amp

Op-amp

The op-amp has four terminals to which connections can be made. Inputs attach to nodes a and b , and the output is node c . As the circuit model on the right shows, the op-amp serves as an amplifier for the difference ofthe input node voltages.

Op-amps not only have the circuit model shown in [link] , but their element values are very special.

  • The input resistance , R in , is typically large , on the order of 1 MΩ.
  • The output resistance , R out , is small , usually less than 100 Ω.
  • The voltage gain , G , is large , exceeding 10 5 .
The large gain catches the eye; it suggests that an op-amp could turn a 1 mV input signal into a 100 V one. If you were to buildsuch a circuit--attaching a voltage source to node a , attaching node b to the reference, and looking at the output--you would be disappointed. In dealing with electronic components, you cannotforget the unrepresented but needed power supply.
It is impossible for electronic components to yield voltagesthat exceed those provided by the power supply or for them to yield currents that exceed the power supply's rating.
Typical power supply voltages required for op-amp circuits are ± 15 V . Attaching the 1 mv signal not only would fail to produce a 100 V signal, the resulting waveform would beseverely distorted. While a desirable outcome if you are a rock&roll aficionado, high-quality stereos should not distort signals. Another consideration in designing circuits withop-amps is that these element values are typical: Careful control of the gain can only be obtained by choosing a circuitso that its element values dictate the resulting gain, which must be smaller than that provided by the op-amp.

Op-amp

The top circuit depicts an op-amp in a feedback amplifier configuration. On the bottom is the equivalent circuit, andintegrates the op-amp circuit model into the circuit.

Inverting amplifier

The feedback configuration shown in [link] is the most common op-amp circuit for obtaining what is knownas an inverting amplifier .

R F R out R out G R F 1 R out 1 R in 1 R L 1 R 1 R in 1 R F 1 R F v out 1 R v in
provides the exact input-output relationship. In choosing element values with respect to op-amp characteristics, we can simplify theexpression dramatically.
  • Make the load resistance, R L , much larger than R out . This situation drops the term 1 R L from the second factor of [link] .
  • Make the resistor, R , smaller than R in , which means that the 1 R in term in the third factor is negligible.
With these two design criteria, the expression( [link] ) becomes
R F R out G R F 1 R 1 R F 1 R F v out 1 R v out
Because the gain is large and the resistance R out is small, the first term becomes 1 G , leaving us with
1 G 1 R 1 R F 1 R F v out 1 R v in
  • If we select the values of R F and R so that G R R F , this factor will no longer depend on the op-amp's inherentgain, and it will equal 1 R F .
Under these conditions, we obtain the classic input-outputrelationship for the op-amp-based inverting amplifier.
v out R F R v in
Consequently, the gain provided by our circuit is entirely determined by our choice of the feedback resistor R F and the input resistor R . It is always negative, and can be less than one or greaterthan one in magnitude. It cannot exceed the op-amp's inherent gain and should not produce such large outputs that distortionresults (remember the power supply!). Interestingly, note that this relationship does not depend on the load resistance. Thiseffect occurs because we use load resistances large compared to the op-amp's output resistance. Thus observation meansthat, if careful, we can place op-amp circuits in cascade, without incurring the effect of succeeding circuits changing the behavior (transfer function)of previous ones; see this problem .

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Fundamentals of electrical engineering i. OpenStax CNX. Aug 06, 2008 Download for free at http://legacy.cnx.org/content/col10040/1.9
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