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???
03/15/07 05:24
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#135032 - capacitors
Responding to: ???'s previous message
Guten Tag,

Once the capacitor is fully charged, the electrons will tend to concentrate at the surface of the negatively charged plate, because they will experience the attractive force of the positively polarized plate. Atomically speaking the electrons are still very much in the volume of the plate. Still, from a macroscopic perspective you can say they are all at the surface, but I would stop short of saying they are on the surface. Don't forget that the electrons will be equally rarified from the same region of the positively polarized plate, and you won't think of them as being removed from on the surface.

The inertia of the electrons don't really matter. The migration (or flow) of the electrons through the volume of the conductor is dominated by collisions, not free motion. This is why the electron flow in an electrical current is so slow. In a sufficiently rarified vacuum this would be different. But the volume of a conductor is not a sufficiently rarified vacuum.

As for how many electrons are involved, and how long it takes, those are well known quantifiable numbers. The total charge, Q, can be calculated as the product of the capacitance, C, and the voltage, V.

Q = CV

The charge of an electron is 1.602E-19 coulombs, so the total number of electrons involved is

CV/1.602E-19

As for how long this takes, the imbalance does not form linearly. It's an exponential curve. The charge of the capacitor as a function of time can be written as

Q(t) = CV(1 - exp(-t/RC))

where the quantity RC is defined as the time constant (imagine a little Greek letter tau here). Of course, as the charge increases so does the voltage dropped across the capacitor, which reduces the voltage dropped across the resistor and therefore the current flowing through it. So the current decreases exponentially.

In five time constants you'll have over 99% of the total capacity charged, (1 - exp(-5) = 0.993). The point is that RC time constants are usually quite large compared to the speed of light time frame in which the E field and potential propogate through the conductors.

Joe



List of 72 messages in thread
TopicAuthorDate
Understanding OpAmp Circuits.            01/01/70 00:00      
   start with the basics ...            01/01/70 00:00      
   Historical aspect            01/01/70 00:00      
   Current directions            01/01/70 00:00      
      Maybe that's his confusion.            01/01/70 00:00      
         picky, picky,            01/01/70 00:00      
            Conventional Current Flow            01/01/70 00:00      
               But WHAT is flowing?            01/01/70 00:00      
                  Please elaborate.            01/01/70 00:00      
                     The >cause< is flowing...            01/01/70 00:00      
                        A suggestion.            01/01/70 00:00      
                           What do you think?            01/01/70 00:00      
                              capacitors            01/01/70 00:00      
               I see            01/01/70 00:00      
                  Its much clear now.            01/01/70 00:00      
                     Some answers...            01/01/70 00:00      
                        reply to Answers...            01/01/70 00:00      
                           Figure 9            01/01/70 00:00      
                              It helped me finding out the answers...            01/01/70 00:00      
                                 It's there...            01/01/70 00:00      
                                    Just liked to make it clear..            01/01/70 00:00      
                                       How I would design it            01/01/70 00:00      
                                          if my load is resistive ...            01/01/70 00:00      
                                             Datasheet is a bit incomplete            01/01/70 00:00      
                                                clear till now...            01/01/70 00:00      
                                                if input is current? then output??            01/01/70 00:00      
                                                   Current to voltage converter            01/01/70 00:00      
                                                      Hhm...            01/01/70 00:00      
                                                         I stand corrected            01/01/70 00:00      
                                                   Mechanism of negative feed back            01/01/70 00:00      
                                                      Thank You!            01/01/70 00:00      
                                                         A bit more details are needed            01/01/70 00:00      
                                                            Not for Application. Just learning.            01/01/70 00:00      
                                                               Answers            01/01/70 00:00      
                                                                  gain calculation??            01/01/70 00:00      
                                                                     Compensation Techniques...            01/01/70 00:00      
                                                                        Answers III            01/01/70 00:00      
                                                                           ...            01/01/70 00:00      
                                                                           Offset nulling in low cost OpAmps..            01/01/70 00:00      
                                                                              nulling an LM358?            01/01/70 00:00      
                                                                                 Opamps with Offset null pins?            01/01/70 00:00      
                                                                                    CMRR            01/01/70 00:00      
                                                                                       Let me consider an example..            01/01/70 00:00      
                                                                                          link            01/01/70 00:00      
                                                                                             Thank you.            01/01/70 00:00      
                                                                                       start with the definition and go from there            01/01/70 00:00      
                                                                                          whether offset can be calculated using a formula.            01/01/70 00:00      
                                                                                             Calculation of Offset due to common mode voltage            01/01/70 00:00      
                                                                                                Exactly !            01/01/70 00:00      
                                                                                                   But to be true i got help from a person and...            01/01/70 00:00      
                                                                     Answers II            01/01/70 00:00      
                                                                        corrected circuit of Instrumentation Amplifier            01/01/70 00:00      
                                                                           Gain is still 19!            01/01/70 00:00      
                                                                              regarding 2K & CMRR            01/01/70 00:00      
                                                                                 Sources and Solutions            01/01/70 00:00      
                                                                                 The idea of having a common ground...            01/01/70 00:00      
                                                                  VREF            01/01/70 00:00      
   It is quite simple...            01/01/70 00:00      
   op-amp golden rules            01/01/70 00:00      
      First things first:            01/01/70 00:00      
         Always??            01/01/70 00:00      
      an addition            01/01/70 00:00      
         That's not really op-amp specific.            01/01/70 00:00      
            true, the interesting fact here is            01/01/70 00:00      
         Hardly...            01/01/70 00:00      
            I've done it            01/01/70 00:00      
               Do you remember which one?            01/01/70 00:00      
                  not really            01/01/70 00:00      
                     Although most OPamp can withstand shorts...            01/01/70 00:00      
   Op-Amp Simulator            01/01/70 00:00      
      cant run 16 bit windows program :(            01/01/70 00:00      
         Try LT Spice            01/01/70 00:00      

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