What is Capacitance: Definition and 899 Discussions

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential. There are two closely related notions of capacitance: self capacitance and mutual capacitance. Any object that can be electrically charged exhibits self capacitance. In this case the electric potential difference is measured between the object and ground. A material with a large self capacitance holds more electric charge at a given potential difference than one with low capacitance. The notion of mutual capacitance is particularly important for understanding the operations of the capacitor, one of the three elementary linear electronic components (along with resistors and inductors). In a typical capacitor, two conductors are used to separate electric charge, with one conductor being positively charged and the other negatively charged, but the system having a total charge of zero. The ratio in this case is the magnitude of the electric charge on either conductor and the potential difference is that measured between the two conductors.
The capacitance is a function only of the geometry of the design (e.g. area of the plates and the distance between them) and the permittivity of the dielectric material between the plates of the capacitor. For many dielectric materials, the permittivity and thus the capacitance, is independent of the potential difference between the conductors and the total charge on them.
The SI unit of capacitance is the farad (symbol: F), named after the English physicist Michael Faraday. A 1 farad capacitor, when charged with 1 coulomb of electrical charge, has a potential difference of 1 volt between its plates. The reciprocal of capacitance is called elastance.

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  1. Kelly Lin

    Capacitance between a wire and a plane

    Homework Statement Homework Equations I want to know whether my process is correct? THANKS! The Attempt at a Solution [/B] 1. By using Gauss's law: E\cdot 2\pi rz = \frac{\lambda z}{\epsilon_{0}}\Rightarrow E=\frac{\lambda}{2\pi\epsilon_{0} r} In my coordinate system...
  2. T

    One coil twisted in a figure 8 vs. two coils side-by-side

    The side by side coils are round or oval, and wired together in series. Let's say the side by side coils are wound opposite (one clockwise and one counterclockwise) to match the direction of travel of the twisted coil's loops. Each of the side by side coils has the same number of turns as the...
  3. G Cooke

    Create Your Own zF Capacitor | PF

    Hi PF, I am in need of a capacitance in the zF (zeptofarad = E-21) range. Of course, they aren't sold this small, so I was wondering if maybe someone with more physics knowledge could help me create my own zF capacitor. Thanks in advance!
  4. Pushoam

    Proving C12=C21: General Capacitance

    Homework Statement Consider a system of N isolated conductors,with arbitrary shape and position. We specify the charge Qi on the ith conductor for each i. The capacitance Cij is: Qi= ΣCijVj, sum over j. To prove: Cij = Cji Hint: Consider how much energy is needed to start with the system...
  5. R

    Equivalent capacitance of a system of 2 spheres

    Homework Statement : [/B]Two conducting spheres of radii R1 and R2 are kept widely separated from each other. what are their individual capacitances? If the spheres are connected by a metal wire, what will be the capacitance of the combiation?Homework Equations Capacitance of a sphere of radius...
  6. David23454

    Find capacitance and charge of two aluminum electrodes

    Homework Statement Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 200 V battery. Find the capacitance of one of the spheres. Homework Equations [/B] C=QV C=ε0A/d The Attempt at a Solution [/B] I'm really not sure how to approach this...
  7. A

    Capacitance capacitor parallel plate with dielectric (Gauss)

    Homework Statement I have an elementary doubt with the calculation of the capacitance of a capacitor of parallel plates that has a dielectric in the middle. https://ibb.co/b0W4BQ Homework Equations ∫D⋅ds=Q D=E+γP C=Q/V The Attempt at a Solution Suppose the top plate has a positive charge...
  8. O

    Coupling capacitance between interconnects in VLSI

    Hello all, I'm trying to measure the effect of adding charges in the silicon dioxide separating two interconnects in VLSI circuits and how it will effect the coupling capacitance between these two wires. How can I measure this effect ? The VLSI circuit I'm working on has frequency of 500...
  9. W

    Electrophysiology Quick Homework Problems

    Homework Statement Hi guys, I've been trying to solve these two questions for the last hour and can't seem to find the solution, any help would be very much appreciated. :smile: 1. An RC circuit is given a step voltage (charging) of V at t = 0 seconds. What is the value of voltage at t = 2RC...
  10. Kelsi_Jade

    After 14ms the current drops -- Find the capacitance at C

    Homework Statement Here is what I have so far. Am I going the right direction? If so, how do I go about finding the total current? Homework Equations See photo above. The Attempt at a Solution See above.[/B]
  11. Atacan

    Capacitance of the capacitor after inserting the dielectric

    Homework Statement Homework Equations V=Ed Q = CV W = 1/2 QV The Attempt at a Solution Hi. My instructor gave me this problem as a homework. Actually he didnt teach us this subject. So what should i know to solve this question or from where can i study to this subject? Of course it would be...
  12. T

    Does a Variable capacitance switch exist?

    Hi, I want to be able to vary the amount of capacitance in a circuit, ideally I'd like to be able to turn a knob to tap a bank of capacitors, something like the attached picture.Is there some sort of switching or device available that anyone can think of which does this? Cheers
  13. Devarsh Patel

    Capacitance of parallel plate capacitor separated by

    How to find capacitance of parallel plate capacitor separated by conducting material with two different dielectric between Two parallel plate of Cu(5*6*0.1)mm and distance between them is (d=2mm) a thin Cu-plate of thickness 0.1 mm separates Mica layer & Quartz layer. how to find capacitance?
  14. N

    Does Separating the Plates of a Capacitor Affect Its Charge?

    Homework Statement The plates of a parallel-plate capacitor are maintained with constant voltage by a battery as they are pulled apart. During this process, the amount of charge must... (decrease , increase , remains the same) Homework Equations C=Q/V C=E0(Area/Distance) The Attempt at a...
  15. Kelsi_Jade

    Find the capacitance of C3 and its charge

    Homework Statement From the textbook: Homework Equations / 3. The Attempt at a Solution My attempt at the solution: looking to fix my issues and help correcting my work.[/B]
  16. Arman777

    Find the Capacitance -- Plates

    Homework Statement In attachments Homework Equations The Attempt at a Solution This is my charge distrubition.From there I draw electric field lines.And then from potential difference I wrote ##E=\frac {V} {d}## and then...
  17. L

    How Does Changing Load Capacitance Values Affect Crystal Oscillator Performance?

    How does the load capacitance affect the Crystal. For example, IC manufacturers recommend a Crystal and also load capacitance, like 25MHZ, 16pF. What happens if I choose a xtal with load cap of 10pF 25MHz? I am talking about changing the load caps recommended by IC manufacturer, not the ones in...
  18. V

    Capacitance for Voltage Multiplier

    Can someone help me on how can I get the value of capacitor on voltage multiplier and how can i double the voltage through a 20 ohm load resistor?
  19. A

    Capacitance between point charge and finite plate

    I need help trying to set up this problem. I want to find the capacitance between a point charge and a finite plate (or disk) as the point moves from above the center of the plate to some distance off the plate. I have been able to simulate this problem using FEM, however, there should be a...
  20. Peter Andrews

    Finding displacement current in an AC capacitor circuit

    Homework Statement A capacitor is made of two parallel plates of area A, separation d. It is being charged by an AC source. Show that the displacement current inside the capacitor is the same as the conduction current. Homework Equations Idisp = ε(dΦE/dt) Q = CV C = Aε/d Xc = 1/(2πƒC) Q(t)...
  21. Kronos

    What is the equivalent capacitance between points A & B?

    Homework Statement Find the equivalent capacitance between points A & B Homework Equations Ceq1 = C + C 1/Ceq2 = 1/2C + 1/2C + ... The Attempt at a Solution [/B] It is my understanding that each capacitor top and bottom are connected in parallel, so their equivalent is 2C. Now, they...
  22. W

    Capacitance and dielectrics

    Homework Statement Below are a few equations listed in my text for use in calculating capacitance in dielectrics. I'm wondering which of these are applicable in specific scenarios Homework Equations 1. k = C/C0 - with C0 indicating capacitance w/o dielectric 2. v = v0/k 3. E = E0/k 4. σi = σ(1...
  23. J

    Calculating Capacitance in Closed Loop Circuits

    Homework Statement Homework Equations C=Δq/VThe Attempt at a Solution So part a: The capacitance of 3 should be the difference in charge of b and a divided by the voltage of the circuit? C3=(14μC-6μC)/12V =6.67*10-7 F This was wrong...
  24. G

    Comparing inductance and capacitance: Analogy to charge

    Hi. Inductance and capacitance have many analogies, both conceptually and formally. A capacitor connected to a voltage source carries the charge ##Q=C\cdot V##. The analogous equation for inductance is ##n\cdot \Phi=L\cdot I##. Charge is physical, it's proportional to the number of excess...
  25. jlmccart03

    Calculating Capacitance and Charge Density: Solutions to Homework Questions

    Homework Statement Write an expression for the total charge on one of the plates of the capacitor. Is this total charge greater than, less than, or equal to the total charge on one of the original plates? http://imgur.com/enJ1wMy (It won't let me paste the image so this is the best I could...
  26. S

    Derivation of capacitance for two shells

    Homework Statement A spherical capacitor is formed from two concentric, spherical, conducting shells separated by vacuum. The inner sphere has radius r the capacitance is C. What is the outer radius R? Already solved the problem, but I'm more wondering on how to derive the equation that I...
  27. A

    Calculating the Charge on Capacitor

    Homework Statement The circuit has been completed for several minutes. Suppose that ε = 55 V . Calculate the magnitude of charge on the 100 μF capacitor plate. Homework Equations Q = C * V The Attempt at a Solution Since the capacitors have been fully charged, current has stopped flowing at...
  28. Samar A

    Verification of the capacitance of a capacitor

    Homework Statement In the circuit shown in the figure below, the hase difference between the current and the voltage is 30 degrees, show how could you verify the capacitance of the conductor so that the phase difference could be 15 degrees. Homework Equations tan θ=-Xc/R (the phase difference...
  29. Y

    Discharging High Capacitance (6F @ 48v)

    This is my first post and am curious if anybody here has any experience or advice on how to discharge a capacitor bank with 6 1F capacitors connected in parallel. I built a electric hybrid (basically electric transmission) vehicle that uses a 31hp gas engine to power a 23kW (peak) DC generator...
  30. peroAlex

    Capacitance of two unequal spheres

    Assume that we have two charged spheres with unequal radii and which do not overlap. How cold we express their capacitance?
  31. W

    Capacitance and induced charges

    Homework Statement Two large parallel metal plates are oriented horizontally and separated by a distance 3d. A grounded conducting wire joins them, and initially each plate carries no charge. Now a third identical plate carrying charge Q is inserted between the two plates, parallel to them and...
  32. SD das

    Finding the Capacitance of the Earth

    Suppose that the radius of Earth is 6400 km. Then what will be the capacitance of the Earth in micro farade unit?
  33. mnb96

    Question about capacitance matrix

    Hello, suppose I have four conductors (1,2,3,4) and I know their mutual capacitances cij where i,j∈{1,2,3,4}. Note that the quantities cij are essentially the elements of the capacitance matrix of this system. Now, if I apply a voltage to two conductors and leave the other two grounded (e.g...
  34. Dilemma

    Generating current through increasing capacitance

    Hello, 1. Homework Statement Assuming that the dielectric is inserted at a constant rate, find the current I as the slab is inserted. Express your answer in terms of any or all of the given variables V, K, r, d, Δt, and ε0, the permittivity of free space.Homework Equations [/B] C = ε0 * A /...
  35. doktorwho

    The Electrical energy of a conducting cylinder

    1. The problem stsatemesnt, all variables and given/known data A cylinder conductor of length ##l##, inner radius ##a## and outer radius ##b## is half-filled with a liquid dielectric as shown in the picture. The cylinder is attached to a battery of constant voltage ##U## and then separated from...
  36. franktherabbit

    Determining the capacitance of the two conductors

    Homework Statement For a given system, a conducting cylinder with radius ##r=a## with a linear charge density ##Q'## and a conducting surface at a distance ##z=h## from the cylinder, calculate the linear capacitance of the cylinder.Take that ##h>>a## ##C'=\frac{Q'}{U}## Homework Equations 3...
  37. C

    Capacitance - does a general approach really exist?

    I have spent hours on the web and in libraries to obtain a general and careful approach to the notion of capacitance, without success. Please, read carefully the question: I already know the usual blabla about capacitance. Also, I appologize in advance for the length of this question. I...
  38. Especial

    Millikan Oil drop lab experiment - equation for speed of drop

    Millikan Oil drop experiment. For my current lab, we are recreating the milian oil drop experiment to measure the charge of an electron. However, we are using 1-micron diameter latex spheres in place of oil drops. Problem: I am having difficulty deriving an equation for the speed of the drop...
  39. RoboNerd

    Figuring out why experimental results are different

    Homework Statement Hello everyone, I am trying to figure out how to approach part c, parts i and ii Homework Equations OK. I know that we have the current equation in milliamps as shown above The Attempt at a Solution My problem is giving one possible explanation for the finding and...
  40. F

    Issues with my investigation in capacitance

    This is a simpler issue but I need some help nonetheless. I have been carrying out an investigation on how the dielectric size of a capacitor affects its time constant. In theory the larger the dielectric the smaller the capacitance and therefore the smaller the time constant. However although I...
  41. yabb dabba do

    Transmisison Line Shunt Capacitance

    Why is there a shunt capacitance in a transmission line, but not in a normal circuit (non-transmission line).?
  42. C

    Computing capacitance in the general case

    This may well be a textbook question, or even a duplicate in this forum, but I have no idea of how to compute the capacitance between two conductors in the general case: all the computations I saw in textbooks make heavy use of symmetries to compute the capacitance, e.g. capacitance between two...
  43. C

    Double integral to compute capacitance

    Hi everyone. I have quite a basic doubt, and I thought you could help me. Consider the figure: The cylinders S1 is held at a constant potential, and the same applies for the ring identified by S0. All the surroundings are filled with an insulator material. I want to calculate che capacitance...
  44. S

    Equivalent capacitance of a system from potential difference

    Homework Statement Calculate the equivalent capacity of the capacitor system between points ##x## and ##y## Homework Equations ##C=q/V## The Attempt at a Solution I'm asking about this problem because I know how to calculate ##V_x-V_y##, but I don't know how can I extract the equivalent...
  45. RoboNerd

    Figuring out how to approach capacitor problem

    Homework Statement Homework Equations C = q / voltage The Attempt at a Solution OK. [/B] By Kirchoff's Voltage Law, we have: EMF - ( q / Capacitance)x - (q/Capacitance)y = 0 Now. I know that having the dielectric increases the capacitance of X, so the voltage drop across it is smaller...
  46. weezy

    Calculating displacement current and magnetic field.

    1. The problem statement, A capacitor is there in free space consisting of 2 circular plates of radius ##r## separated by a distance ##z## which is a function of time. ##z(t) = z_0 + z_1 cos (\omega t)##; ##z_0(<<r)## and ##z_1(<z_0)## are constants. The separation ##z(t)## is varied in such a...
  47. R

    Calculating Joules from Capacitance: Answers & Tips

    So I read a page where someone said they had put 18 400v 3900uF capacitors in parallel and that this came out to 5600 joules... Now I'm sure I am doing something wrong but when I did it out I only got 28.08 joules... I used this website...
  48. reddvoid

    Input capacitance discrepancy -- schematic post layout and parasitic capacitance

    Hi, I have a post layout extracted netlist, In which I am interested in input capacitance on clock pin, If i measure clock pin input capacitance on post layout extracted netlist, I am getting 1.58fF and when I measure the same in schematic, I am getting 0.6fF and I am able to find the paracitics...
  49. LtIvan

    Dynamic RAM: Capacitance and Refreshing

    Wes thu hal, I have been researching computer hardware aspects, and I have been recently looking at RAM types, particularly DRAM. I am think of making a simple model of it for a hobby. For a DRAM bit cell, does the capacitance value matter? What affects does it have if it is big or small, e.g...
  50. G

    Why does a single sphere have a capacitance?

    Hi. The capacitance of an ideal plate capacitor (coaxial cable) goes to zero as the plate distance (outer radius) goes to infinity. This doesn't happen with concentric spheres as we let the outer radius go to infinity, hence a single sphere has a nonzero capacitance. What's the exact reason...
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