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. A

    How Do You Calculate Equivalent Capacitance and Charge in a Complex Circuit?

    Homework Statement Find the equivalent capacitance of the capacitor combination, Ct and the charge over C5:Q5 Vab=10V C1=3uF C2=11uF C3=12uF C4=6uF C5=9uF Homework Equations 1) 1/Ct=1/C1+1/C4 = 2uF 2) 1/Ct= 1/C2+1/C5 = 99/20uF Parallel: 2+99/20+12=379/20uF Ct=379/20 uF...
  2. S

    What is the Equivalent Capacitance of a Single Capacitor Setup?

    Homework Statement What is the equivalent capacitance of the arrangement shown in figure. (Answer is C1) Homework Equations Cparallel = C1+C2+...Cn Cseries = 1/(1/C1+1/C2+...+1/Cn) The Attempt at a Solution
  3. B

    Capacitance of a body versus capacitance of inscribed and circumscribed spheres

    just out of curiosity - it seems evident to me that the capacitance of a conductive body should be between the capacitance of an inscribed sphere and the capacitance of a circumscribed sphere. But I can't figure out how to prove this. If you prove this, it follows that the energy required to...
  4. R

    E&M lab(Finding the capacitance in an RC circuit from the time constant)

    Homework Statement sigh* Well, I have more than a week to do this lab, and usually I don't resort for help here, but on this lab there are so many things I am unsure of. So here's the setup of the lab: I have a one Farad capacitor, a DC power supply, a multimeter, a bunch of...
  5. S

    Does every object have capacitance?

    Does every object have a capacitance associated with it? For example, is there a capacitance in a single wire or a chair? If so, can you please explain why because I was taught that capacitance is associated with two conducting objects. Thank you.
  6. H

    Capacitance 1/4 correct need b,c,d

    Homework Statement V=8.8V (a) Find the equivalent capacitance between the terminals Answer= .242uF b.) Find the charge stored on the positively charged plate of each capacitor? C1=.3uF , C2=1uF , C3= .25uF So I have to find the charge on each plate of the three c.)Find the voltage across...
  7. T

    Faraday's Induction and capacitance circuits

    Homework Statement Have been given the task of creating a circuit powered by a rotating magnet in a copper coil that will charge a capacitor long enough to light an LED for 600 seconds after the rotating magnet has stopped. In all the magnet charge up torches I've opened, there are two 3V...
  8. T

    Finding capacitance per unit length

    Homework Statement You are planning to install a home video studio. A very important piece of information is missing from the specifications. You must find the capacitance per unit length for a coaxial cable. The cable has an inner radius of 2.0mm and an outer conductor 4.0mm in radius...
  9. J

    Capacitance of an infinite series

    Homework Statement The capacitance of each capacitor of the infinite series shown in the picture is C = 1\muF. Find the total capacitance between points a and b. IMAGE: http://img61.imageshack.us/img61/3674/pic002311.jpg" (continues to infinity) Homework Equations In series, (1/Ceq) =...
  10. T

    Is the Capacitance of a Twin Lead TV Antenna Cable Within Specifications?

    Homework Statement Your home video studio will use a TV antenna cable often known as "twin lead." Two 0.50mm--diameter wires are spaced 12mm apart. Your equipment requires that the total capacitance of the cable not exceed 1000 pF. The cable is 30m long. A technical paper on the cable gives...
  11. B

    Calculating Capacitance of Concentric Spherical Shells

    What is the capacitance C of a capacitor that consists of two concentric spherical shells, the inner of radius r_{1} and the outer of radius r_{2}? What would the limit be if r_{2}-r_{1}<<r_{1}. What would happen if r_{2} goes to infinity (assume the potential there is zero)? Some equations...
  12. S

    Equivalent Capacitance of a Circuit: Solving a Difficult Capacitance Problem

    Homework Statement Finding the equivalent capacitance of the supplied circuit. Homework Equations For parallel capacitors, C EQ.=C1+C2+C3+.. For serial capacitors, 1/C EQ.=1/C1+1/C2+... The Attempt at a Solution The circuit simplification is difficult!
  13. B

    Capacitance per unit length help

    1. Homework Statement [/b] You are planning to install a home video studio. A very important piece of information is missing from the specifications. You must find the capacitance per unit length for a coaxial cable. The cable has an inner radius of 1.1 {\rm mm} and an outer conductor 3.1 {\rm...
  14. F

    Capacitance between two plates

    Homework Statement An air filled capacitor consists of two parallel plates, each with an area of 8.39cm^2, separated by a distance of .81mm. A 12.3V potential difference is applied to the plates. Find the capacitance. Answer in units of pF (pico Farad) Homework Equations 1. E = kV/d 2...
  15. C

    Capacitance of Right Angle plates

    I have a question: I have two plates that form a right angle. How would I go about finding the Capacitance of the two plates?
  16. M

    Capacitance of two plates written in terms of height of liquid dielectric

    Homework Statement A liquid-level transducer consists of two parallel plates of conductor immersed in an insulating liquid. When the tank is empty the capacitance of the plates is 200pF. The relative dielectric constant of the liquid is 25. Determine an expression for the capacitance C as a...
  17. P

    How Do Different Dielectrics Affect Capacitance in a Parallel-Plate Capacitor?

    Homework Statement There is a parallel-plate capacitor with a plate area A = 5.52 cm2 and a plate separation d = 5.52 mm. The left half of the gap is filled with material of dielectric constant κ1 = 7.00; the right half is filled with material of dielectric constant κ2 = 15.0. What is the...
  18. H

    Potential in capacitance network

    Homework Statement A capacitance matrix represents the charge coupling within a group of conductors — that is, the relationship between charges and voltages for the conductors. Given the three conductors shown in the following link, with the outside boundary taken as a reference...
  19. P

    Capacitance Circuit - Voltage and Charge

    1. The Question a. What is the equivalent capacitance of the combination shown in the figure ? b. If a 100V battery is connected across the combination, what is the charge on each capacitor? c. What is the voltage across each? 2. Equations C=Q/V, adding capacitance rules 3...
  20. E

    Capacitance after changing plate distances

    1. Homework Statement , from my crappy textbook 2. Homework Equations barely explained in my crappy textbook Q=CV C=\epsilon A/d 3. The Attempt at a Solution that should be easy but the textbook is crap Before squeezing: Simplify the circuit by combining the two capacitors in...
  21. E

    What is the capacitance of the system?

    Homework Statement Two metal objects have net charges of +70pC and -70pC, which result in a 20V potential difference between them. a.) What is the capacitance of the system? b.)If the charges are changed to +200pC and -200pC, what does the capacitance become? Homework Equations...
  22. A

    Capacitance of two conducting spheres

    Homework Statement We're supposed to find the capacitance of a system of two conducting spheres, one of radius r_1 and charge Q, the other of radius r_2 and charge -Q, separated by a distance L (this is the distance between their centers) that's very large compared to either r_1 or r_2.Homework...
  23. M

    Measuring Capacitance given a voltmeter + ammeter

    Homework Statement Given the following: • a battery, • a digital voltmeter (which records voltage as a function of time), • a digital ammeter (which records current as a function of time), • a battered industrial capacitor, • two copper plates, • and several bits of copper wire...
  24. T

    Inductance and capacitance quick question

    Homework Statement Hello I am studyin for a test and I just wanted to make sure I understand this basic idea... All C's are 5 micro F All L's=2H Homework Equations The Attempt at a Solution For the I came to the conclusion that Ceq=5 micro F the ones circled in blue...
  25. F

    Capacitance of a spherical cell

    Homework Statement A cell membrane is composed of lipid molecules and approximately 10.29 nm thick. If the dielectric constant of the lipid is kappa= 5 , what is the approximate capacitance of a spherical cell that has a diameter of 10.29 micro meters? Homework Equations E=KQ/r^2...
  26. M

    Capacitance potential difference Problem

    [b]1. A 2.05 µF capacitor (#1) is charged to 901 V and a 6.68 µF capacitor (#2) is charged to 671 V. These capacitors are then disconnected from their batteries. Next the positive plates are connected to each other and the negative plates are connected to each other. What will be the potential...
  27. D

    Figuring 12V 3A DC Power Supply Capacitance

    I want to know if I am figuring correctly. I am putting together a 12 volt 3 amp DC power supply. The formula in the instructions is C = Tc / R. I figured the required cap to be 20,750 uf. When I went to a couple of supply catalogs to check the price for the cap I found that no one had had a...
  28. E

    How can I reduce cable capacitance for my Schering bridge?

    Dear Readers, I am trying to build a Schering bridge to measure capacitance change for my research. I need to reduce the cable (line) capacitance to a minimum. I am using an ac 4V (rms), 250 KHz supply. I tried to use two separate coaxial cables to connect the capacitor plates. The signal...
  29. A

    To measure the capacitance of interdigitated metal electrode

    Hi, Could someone give me some basic idea or information 1. How to measure the capacitance of interdigitated metal electrode of about 250 nm wide and 2 mm long on a silicon wafer, spacing between the electrode is 250 nm which is bonded bonded to copper pads. 2. Is it possible to measure the...
  30. E

    How can the potential energy and stored energy in a capacitor be different?

    Problem 1 Two parallel metal plates are connected to a voltage source so that their potential difference is maintained at 350 V. The two plates are separated by 1.00 cm. An electron is released from rest at the negative plate and accelerates toward the positive plate. (a) Determine the...
  31. W

    What is the relationship between voltage and capacitance?

    What exactly is capacitance? "Capacitance is a measure of the amount of electric charge stored (or separated) for a given electric potential" according to wikipedia.com However, following C=\frac{Q}{V} i cannot get the fact that the smaller the voltage between a capacitor, the bigger its...
  32. M

    MY BIGGEST PROBLEM in capacitance

    Homework Statement THREE CAPACITORS HAVING CAPACITANCE 8.4 F, 8.4 F, 4.2 F ARE CONNECTED IN SERIES ACROSS A 36 V POTENTIAL DIFFERENCE. THE CAPACITORS ARE DISCONNECTED FROM THE POTENTIAL DIFFERENCE WITHOUT ALLOWING THEM TO DISCHARGE. THEY ARE THEN RECONNECTED IN PARALLEL WITH EACH OTHER...
  33. C

    Electric capacitance adding charged particals, rate

    Okay so the question is 15. (a) Calculate the electric capacitance of the Earth. (b) Positively charged cosmic ray particles are known to arrive at Earth at the rate of approximately 1 particle per square centimetre per second. If each particle is assumed to be singly charged...
  34. N

    Capacitance only geometry dependent?

    Is there a proof that states that if a system only contains perfect conductors, dielectrics and voltage sources that the capacitance between any two conductors is only geometry dependent?
  35. D

    Equivalent Capacitance (Not in series or parallel)

    Homework Statement Find the Equivalent Capacitance: Homework Equations c=Q/V Conservation of energy The Attempt at a Solution I made Q1 be the capacitor of 1uf, the top 2uf be the capacitor of Q2, bottom capacitor of 2uf be Q'2, capacitor of 4uf be Q4, capacitor of 5uf be Q5...
  36. K

    How Do You Calculate the Equivalent Capacitance of a Complex Circuit?

    Homework Statement Find the equivalent capacitance of the picture in the attachment file Homework Equations The Attempt at a Solution The circuit is neither in parallel or series. I tried breaking it up into series and parallel but it seem too easy to be correct. Any tips on solving this?
  37. somasimple

    Membrane capacitance and Nernst potential

    Hi all, Is there any relation between the membrane capacitance and the Nernst potential? Refs: membrance capacitance http://www.cnbc.cmu.edu/~bard/passive2/node5.html Nernst potential http://en.wikipedia.org/wiki/Nernst_equation#Nernst_potential
  38. A

    Difference in the maximum potential capacitance

    Determine (a) capacitance and (b) the difference in the maximum potential that can be applied to a parallel plate capacitor filled with Teflon (k=2,1), whose area the plate is 1,75 cm^2 and the separation between the plates is 40x10^{-6}m. My solution (a) C. = ( E. * A )/d =...
  39. S

    Problem involving capacitance and water droplets (answer check)

    Homework Statement A hollow copper sphere is originally filled with sea water, hung from a nylon thread and raised to a potential of 100V with respect to Earth by connecting it briefly to a voltage source. The water then leaks out through a hole in the bottom of the sphere, and runs down...
  40. A

    Can Human Body's Capacitance Destroy Sensitive Electronic Equipment?

    As a person moves in an environment dry, electric charge accumulates in the body. Since the body is in high voltage, positive or negative, can download by visible sparks or shocks. Consider a human body and separate the soil, with typical capacitance of 150pF. (a) Load that the body produces...
  41. M

    How to solve for the capacitance of an interlocking plates

    Homework Statement A capacitor is constructed of interlocking plates as shown in the figure (a cross-sectional view). The separation between adjacent plates is 1.26 mm, and the effective area of one of the adjacent plates is 6.1 cm2...
  42. S

    Find Capacitance for Camera Flash Unit

    Homework Statement The flash unit in a camera uses a special circuit to “step up” the V = 3.1 V from the batteries to V' = 300 V, which charges a capacitor The capacitor is then discharged through a flashlamp. The discharge takes t = 12 μs, and the average power dissipated in the flashlamp is...
  43. S

    Capacitance of Non-parallel plate capacitor

    Hi, I am modeling a transducer with non-uniform electric field lines. It can be considered as a capacitor but with non-parallel plate configuration. I have modeled the electric field lines using the laplace equation satisfying the boundary conditions and considering the equipotential lines...
  44. H

    Capacitance of a cylindric capacitor (only a piece)

    Hi.. I´ve been trying to solve this problem for a couple of weeks and I need fresh ideas...it´s a 30 degree piece of a 10 cm high cylindric capacitor..how can I calculate its capacitance if it stopped to be symmetric?From my point of view the field between the 2 plates shouldn´t be calculated...
  45. K

    Capacitance of concentric shells

    for the part of Capacitance of concentric shells why Va equals that? why the voltage on the surface of a is affected by -Q/(4pi*epsilon*b), which represents the voltage on the surface of b these two voltage represents something at different position!
  46. P

    Simple Capacitance Problem: Teflon-Filled Parallel-Plate Capacitor Calculation

    Homework Statement For a TeflonTM-filled parallel-plate capacitor having a plate area of 175 cm2 and insulation thickness of 0.0500 mm, determine the following: a.)capacitance b.)max volatge Homework Equations C = Q/V C = (constant)(A/d) The Attempt at a Solution I understand the gist...
  47. P

    What will trigger a capacitance touch sensor?

    I've got an iPod Touch and am trying to create an electrical circuit that, when turned on, will trigger the touch sensor in a specific spot (the spot that whatever component of the circuit provides capacitance is resting on, I guess). For the life of me, I cannot figure out how to trigger a...
  48. S

    Capacitance and distance between plates

    Homework Statement The question is at http://dl.getdropbox.com/u/175564/capacitance.JPG Homework Equations Q = CV C = \epsilon_{0} A / d The Attempt at a Solution The right solution is Q^2 / C that is (h). I know that C is proportional to the inverse of the distance between...
  49. J

    Are amp-seconds the same as capacitance?

    Homework Statement What is an amp hour? Are they saying that batteries in series maintain the same capacitance when they say amp-hours? When connecting your batteries in Series you are doubling the voltage while maintaining the same capacity rating (amp hours). Homework Equations None...
  50. R

    Calculation of capacitance of conductors

    Hello, I would like to get a method for calculation of capacitance of conductors. Let say, I have several conductors in space (2D). I know voltage everywhere between and on conductors, and I need to know the value of capacitance between 2 conductors among several. I'm looking for a general...
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