Capacitor Definition and 1000 Threads

A capacitor is a device that stores electrical energy in an electric field. It is a passive electronic component with two terminals.
The effect of a capacitor is known as capacitance. While some capacitance exists between any two electrical conductors in proximity in a circuit, a capacitor is a component designed to add capacitance to a circuit. The capacitor was originally known as a condenser or condensator. This name and its cognates are still widely used in many languages, but rarely in English, one notable exception being condenser microphones, also called capacitor microphones.
The physical form and construction of practical capacitors vary widely and many types of capacitor are in common use. Most capacitors contain at least two electrical conductors often in the form of metallic plates or surfaces separated by a dielectric medium. A conductor may be a foil, thin film, sintered bead of metal, or an electrolyte. The nonconducting dielectric acts to increase the capacitor's charge capacity. Materials commonly used as dielectrics include glass, ceramic, plastic film, paper, mica, air, and oxide layers. Capacitors are widely used as parts of electrical circuits in many common electrical devices. Unlike a resistor, an ideal capacitor does not dissipate energy, although real-life capacitors do dissipate a small amount (see Non-ideal behavior). When an electric potential (a voltage) is applied across the terminals of a capacitor, for example when a capacitor is connected across a battery, an electric field develops across the dielectric, causing a net positive charge to collect on one plate and net negative charge to collect on the other plate. No current actually flows through the dielectric. However, there is a flow of charge through the source circuit. If the condition is maintained sufficiently long, the current through the source circuit ceases. If a time-varying voltage is applied across the leads of the capacitor, the source experiences an ongoing current due to the charging and discharging cycles of the capacitor.
The earliest forms of capacitors were created in the 1740s, when European experimenters discovered that electric charge could be stored in water-filled glass jars that came to be known as Leyden jars. Today, capacitors are widely used in electronic circuits for blocking direct current while allowing alternating current to pass. In analog filter networks, they smooth the output of power supplies. In resonant circuits they tune radios to particular frequencies. In electric power transmission systems, they stabilize voltage and power flow. The property of energy storage in capacitors was exploited as dynamic memory in early digital computers, and still is in modern DRAM.

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  1. 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...
  2. pug

    Can a capacitor start a toy car?

    Hi, I am trying to build a solar powered toy car. And no its not for my son, its for my own curiosity. The problem I am having is that...while the solar panel is sufficient to rapidly turn the (4) micromotors 6 inches away from a lightbulb it isn't sufficient to even turn the wheels when I put...
  3. I

    I Leyden Jars increase spark length?

    Good Evening/Morning/Afternoon Everyone, Question: Why is it that demonstrations of Van de Graff generators use Leyden Jars in series to get bigger sparks? If a spark gap's size determined by voltage, and Leyden jars are simply to be treated as capacitors which wouldn't increase voltage, why...
  4. R

    How Do You Calculate Current Density Between Coaxial Cylinders?

    Homework Statement [/B] Two long, coaxial metal cylinders are separated by a material of conductivity sigma and dielectric constant epsilon. The radius of the inner cylinder is a, the radius of outer cylinder is b, and the length of both is L. Suppose that the inner conductor is held at a...
  5. sammyqw

    Find Vc(0): Node Analysis & Ohms Law

    Homework Statement find Vc(0) Homework Equations Node analysis , ohms law The Attempt at a Solution Hi, I'm trying to find Vc(0). I used node analysis but I'm stuck in eq 1. I'll appreciate if someone can give me some suggestions. Thanks
  6. N

    Calculating Energy Stored and Dissipated in a Capacitor Discharge

    Homework Statement Prove that the total energy initially stored in the electric field inside the capacitor is equal to the total electrical energy eventually dissipated by the bulb. A 5 V DC power source charged the capacitor. The capacitor was then connected in series with a light bulb with a...
  7. marcophys

    Rising voltage leak to 100v AC - 220v 50Hz 35uF 1.5KW motors

    I noticed that I could get a minor belt off my 3 x 1.5KW compressor. I attached my meter to a mains supply 'socket earth', and to 'the chassis'. I watched the AC voltage gradually rise... perhaps increasing in speed slightly as the potential difference increased between the chassis and earth...
  8. sammyqw

    Engineering Circuits 1 help with this circuit in a DC state

    Homework Statement http://imgur.com/a/4YfkJ http://imgur.com/a/4YfkJ Homework Equations for t<0 I understand that Capacitor acts as an open circuit and goes away but why did the 90v and 6ohm resistor disappeared? is it because current doesn't go that way? and also in that KCL at node V1...
  9. Blockade

    Trouble w/ setting up the equations for capacitive circuits

    Homework Statement Homework Equations .Q = CVab The Attempt at a Solution I am having a hard time understanding when to put the capacitance in the denominator. I get that Voltage = Charge/Capacitance, but for the equation circled in red "q1/c + q2/c = q3c" ... I don't get why each of...
  10. Biker

    Discharging a capacitor to to charge multiple capacitors

    Homework Statement Assume you have C1, C2, C3 capacitors and each one of them have a specific charge. Now imagine you connect them to one circuit (Just as in the picture below). Determine the charge on each capacitor after the movement of charges stop Homework Equations Kirchhoff's law The...
  11. M

    Determining the capacitor value for an RC circuit

    hi, i have a question which i was hoping someone could help with,a series circuit featuring a capacitor (C) charging via a 1Mohm (R) resistor and a 12volt dc supply(VS).i know the equation to describe VC is VC=VS(1-e -t/RC)the question is: assuming VC is 2V after a time of 4 seconds, determine...
  12. A

    Energy stored in Capacitor Network

    Homework Statement A potential difference Vab = 46.0 V is applied across the capacitor network of the following figure. If C1=C2=4.00μF and C4=8.00μF, what must the capacitance C3 be if the network is to store 2.80×10−3 J of electrical energy? Homework Equations U=(1/2)CV^2 (1/C) = (1/c1) +...
  13. person_random_normal

    Dielectric in capacitor: Griffiths question

    Hey SIr , (Addressed to Sir J D Grififfiths) Last year when I took basic electricity and magnetism course , my instructor discussed some interesting ideas which you discussed in your book ''Introduction to Electrodynamics'' ,one of that was calculating force exerted on a dielectric while it's...
  14. G

    Why can a capacitor get discharged through a (long) cable?

    Hi. If a plate capacitor is charged with some charge ##Q##, then there's a voltage ##U=Q/C## between the plates. The electric field between the plates is ##E=U/d##. Voltage is path independent, if I connect the plates with a cable of length ##l\gg d## the voltage across the cable is the same...
  15. O

    What is the final charge and potential difference on each capacitor?

    Homework Statement In the circuit shown in the figure, C1 = 1.0 µF, C2 = 1.9 µF, C3 = 2.8 µF, and a voltage Vab = 30 V is applied across points a and b. After C1 is fully charged the switch is thrown to the right. What is the final charge and potential difference on each capacitor? Homework...
  16. A

    Capacitor Edge Effect: Math Analysis

    Hello, I have been searching for a mathematical analysis regarding the edge effect of a parallel plate capacitor. Could anyone help?
  17. S

    Time-Varying Electric Field in Parallel Plate Capacitor

    Hi, A time-varying (sinusoidal) voltage source is applied to a parallel plate capacitor of length d. Then the E field will vary according to E(t) = V(t)/d. However, this suggests that, for any given time, the E field is constant with respect to spatial coordinates. Therefore, the curl of E is...
  18. 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...
  19. S

    Kirchhoff's Law with Capacitors: Voltage, Resistance & Charge

    Hello! I am bit confused about kirchhoffs law with capacitors. So if I have a battery and resistance, I obtain V-RI=0. But from what I read, if I have a capacitor and resistance (so discharging capacitor), the equation reads R(dq/dt) + q/c = 0, which is equivalent to RI + q/c =0. Why in this...
  20. Borek

    What is the purpose of a capacitor in a voltage divider circuit?

    I need a voltage divider to make it possible to measure voltage on the 3S LiPo battery that delivers around 11 V using a device that measures up to 4 V (approx). I can make one, no problem, just solder two resistors with resistances in the more or less 1:3 ratio (measured output is sent as a...
  21. G

    What do electric field lines look like for two metal plates?

    Hello. I'm now taking accelerator physics class and the lectures said in the thermionic electron gun, anode metal mesh should be grounded in order to prevent electrons which traveled beyond the mesh from coming back due to the electric field lines. Without grounding of the anode, I believe...
  22. S

    Find heat produced on closing the switch S

    Homework Statement Homework EquationsHEAT PRODUCED=WORK DONE BY BATTERIES - ENERGY ABSORBED BY CAPACITORS The Attempt at a Solution INITIALLY BEFORE SWITCH CLOSED :Initially a current flows only in the left most loop involving 4 microfarad capacitor.The charged on the capacitor during...
  23. G

    Discharge only one plate of a capacitor?

    Hi. Assume we connect both plates of a capacitor to ground and disconnect again, leaving them at ground potential. Then we bring electrons from one plate to the other, until there is a voltage difference ##\Delta U## between the plates. Compared to ground, one plate has the potential...
  24. Alexander Stroborg

    Can a 400V 2200µF capacitor propel 0.5g through a rail gun?

    I am planning to conduct an academic experiment involving an electromagnetic projectile. I originally planned to build a rail gun powered by a 400V 2200µF capacitor, I've read a lot of discussions that say rail guns require a tremendous amount of current. Is this capacitor sufficient to propel...
  25. Molar

    Spherical Capacitor: Explaining Inner Sphere Grounding

    When the inner sphere of a spherical capacitor is grounded and a charge is given to the outer sphere, then it is said that two capacitors are in parallel : 1) outer sphere and the ground and 2) inner sphere and the inner surface of the outer sphere. My question is about the second one. Since...
  26. Spinnor

    Pulling apart a charged capacitor and Poynting theorem.

    Suppose we have equal and opposite charge densities on a parallel plate capacitor. Let the plates be separated some small distance d (small when compared with the plate size). Now slowly separate the plates so that their separation is now doubled to 2d. We have done work and the electrostatic...
  27. T

    RC circuit, finding voltage across a capacitor

    Homework Statement I am trying to find the capacitor voltage in the following picture: Find i(t) in the figure below. Assume dc steady state conditions are valid for t<=0. Homework Equations i=c(dv/dt) KCL The Attempt at a Solution At t<0 I found Vc to be 8 volts which should be correct...
  28. T

    Does plasma maintain a charge when current flows through it?

    I've been looking through the internet and so fair I haven't found anything too clear on this. Some articles have said that plasma can be affected by magnetism and can be conductive, but my question is, will it become positively/negatively charged while current is flowing through it, and if it...
  29. J

    How to calculate the Electric Field due to Capacitors?

    I have a problem that I have encountered during research. The setup for this scenario is that I am placing two contacts on top of a piece of diamond. What I need to be able to do is calculate the Electric Field at a point within the diamond when I apply a voltage to the contact. The point of...
  30. B

    Engineering Effect of bypass capacitor on MOSFET amplifier circuit

    Homework Statement A bypass capacitor increases gain in the mid-band region. Explain how with the figure and small signal model. Assume gm=0.5mS. Homework Equations Rs = 1 k Ohm The Attempt at a Solution With the bypass capacitor, the source would be treated as grounded and the equations...
  31. Spinnor

    Energy flow into and around a slowly charging capacitor

    Picture a charging capactor, you know the E field, and the induced B field, the energy flow is just EXB. Please describe for me in rough terms the energy flow vector field near and far from the slowly charging capacitor? The flow of energy must ultimately come from the source of energy that...
  32. D

    Could capacitors function as antennas?

    I was looking up capacitors and the E-field that is produced by a capacitor and I couldn't find much literature about how the E-field changes when AC is flowing through a capacitor. Is this similar to the propagation of an antenna? Do capacitors radiate? Could a capacitor be considered a dipole...
  33. A

    Finding the Electric Field of a Parallel Plate Capacitor

    Homework Statement An electron is launched at a 45∘ angle and a speed of Vo = 5.0×10^6 m/s from the positive plate of the parallel-plate capacitor towards the negative plate. The electron lands 4.0 cm away. Homework Equations F = ma = qE v = d/t s = vt -(1/2)at^2 x = 0.04 m The Attempt...
  34. Buggsy GC

    Why do weaker capacitors have the the largest voltage acros

    Homework Statement A voltage is applied across the capacitor network in the image shown Below (if it loaded I can only see a small panel with IMG on it), which of these individual capacitors has the highest voltage across it Homework Equations...
  35. A

    Photodiode parallel to a capacitor

    Dear Forum Members, I am looking for someone who can help me to model the behavior of a photodiode in parallel with a capacitor. I want to model the behavior of a device that I have developed. As you can see in my attached file, the photodiode shows a current-to voltage characteristic with a...
  36. Spinnor

    B Energy density of charged capacitor via QFT

    From the view point of quantum field theory how does one describe the electromagnetic energy density between the plates of a charged capacitor? Thanks!
  37. T

    Capacitor Problem: Find Charge & Potential Difference

    Homework Statement Two capacitors of capacitances 3μf and 6μf are charged to potentials of 2V and 5V respectively. These 2 charged capacitors are now connected in series.Find the charge and potential difference across each of the capacitors now. Homework EquationsThe Attempt at a Solution...
  38. fabiogn

    Current and magnetic field in a spherical capacitor

    << Mentor Note -- Thread moved from the technical forums,. so no HH Template is shown >> Hello! I have a question on Electromagnetics. Could anyone check if I am on the right track? Here is the proposed problem: Consider a spherically symmetric current distribution, which is radial and...
  39. J

    Is the Formula for Voltage Drop Across Capacitor Opposite of Resistor?

    Homework Statement I'm trying to calculate the voltage drop across a 60uF and a 30uF capacitor in series, powered by 60V. Is the formula for voltage drop across capacitor opposite of the formula for resistor, where resistor is R1=R1/(R1+R2) while capacitor is C1=C2/(C1+C2)? Homework...
  40. P

    Force between capacitor plates

    What will happen to the force between the capacitor plates (Will increase or decrease or remain constant) if we introduce a dielectric between them? As per the answer given the physics textbook , the force will remain same? But as per my understanding the force should decrease since electrical...
  41. J

    Can someone explain the negative sign in the capacitance formula?

    Hi everyone, 1. Homework Statement It takes 18 J of energy to move a 0.30-mC charge from one plate of a capacitor to the other. How much charge is on each plate? Homework Equations -We/q = ΔV C = Q/V The Attempt at a Solution -18J/0.3.10-3 C * 15.10-6 F = Q Q = -0.9 C The problem is...
  42. C

    Capacitor charging above solar cell voltage?

    This has been confusing me a lot lately. I built a type of battery derived from a solar cell that outputs a constant voltage of 0.5 Volts. My original plan was to work out a method to boost this voltage to around 1V to power a joule thief and light an LED using a capacitor charged by the cell...
  43. RoboNerd

    Understanding the Effects of Dielectrics on Capacitance: A Scientific Approach

    Homework Statement A capacitor, is fully charged by a battery. The battery is disconnected and a dielectric is inserted into the capacitor. Which of the following is true? I. Voltage will stay the same II. Potential energy of the capacitor will increase III. capacitance will increase...
  44. Karan Punjabi

    Understanding the Concept of Capacitor: Q&A

    Guys, I am learning about the concept of capacitor,but I am confused in some things that if i kept the amount of charge constant between two plates of a capacitor and then increase the potential diff. this means that i decreased its capacitance right? If I am wrong then please explain the given...
  45. C

    Force between plates of a capacitor with dielectric and cell

    Homework Statement My teacher told me that the force will increase ##k^2## times, where ##k## is the dielectric constant, but I don't see how. Homework EquationsThe Attempt at a Solution To start with, with no dielectric, the force between the plates is given by ##\frac{q^2}{2A\epsilon_{0}}##...
  46. S

    Charge conservation on capacitor

    1. Homework Statement final charge on 3 microF be q1, on 2 microF be q2 and on 1.5 microF be q3 Intial charge on 3 microF is 360 microC and intial charge on 2 microC is 300 microF Homework Equations how the charge conservation takes place at the three junctions in the circuit The Attempt...
  47. S

    Discharging a capacitor through resistor and uncharged cap

    Homework Statement Given v0 c1c2 r1 need to find the current on r1 picture switch 1 is closed for long time and on t=0 opened and switch 2 is closed Homework EquationsThe Attempt at a Solution in the attached file i was trying to use kvl assuming that q0(charge on cap before opening switch...
  48. N

    Farm Motor Capacitor Replacement

    Hey guys, I need some help with replacing a blown capacitor. I've linked below to the machine we are working with, Penagos k-60. I'm not able to find any documentation on the capacitor. The one we took out of the machine today is so old that we aren't able to see any of the writing and it's...
  49. J

    Capacitor Energy Storage - Where Does 1/2 Factor Come In?

    All, there have been many threads regarding where the 1/2 factor comes into the energy storage of a capacitor, but I am at a loss as to why the capacitor voltage can be equal to the battery voltage...if energy is 1/2, shouldn't voltage be 1/2? I feel like I'm missing something fundamental and...
  50. M

    What do the numbers on a capacitor mean?

    The numbers seem to read 225 PC 330 4 What does it mean? Someone told me "225 = 22 x 10^5 pF = 2.2 μF" with 330 V being the potential rating "PC" = polymer cap Is this correct?
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