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. D

    Capacitance with Non-Uniform Dielectrics

    Homework Statement 1. A parallel plate capacitor, with plates of area A, and spacing d, is filled with a non-uniform dielectric, with a permitivity that varies as ε = ε0 + ax where a is a constant, and x is the distance from one plate Homework Equations C = Q/V I'm...
  2. K

    Two capacitors (different capacitance and innitial charge) in a series circuit

    Homework Statement Two capacitors C1 and C2 and a resistor R are all connected in series. At t=0, a charge Q1 resides on C1 and a charge Q2 on C2 (Q1 > Q2; C1 < C2), and the positive plate on C2 is connected to the negative plate on C1. a) In a first experiment, the positive plate on C2 is...
  3. M

    Capacitance of a capacitor with dielectric of variable dimensions and constant volume

    Homework Statement Homework Equations \int\vec{E}\cdot\vec{dA}=\frac{Q_{enc}}{\epsilon_{0}} \int\vec{E}\cdot\vec{dA}=\frac{Q_{enc}}{k\epsilon_{0}} V=\int\vec{E}\cdot\vec{dS} C=\frac{q}{V} C_{eq}=C_{1}+C_{2}+... \frac{1}{C_{eq}}=\frac{1}{C_{1}}+\frac{1}{C_{2}}+... The Attempt at...
  4. D

    Current, Power and Energy in a Capacitance

    Homework Statement The graph below shows the voltage across a 100 μF capacitor vs. time. Find the current (Ix), the power delivered (Px) and the energy stored (Wx) at time tx = 8 s. The attempt at a solution I found the current, Ix using the capacitance multiplied by the slope...
  5. jfy4

    Capacitance of Parallel cylinders

    Homework Statement Two long, cylindrical conductors of radii a_1 and a_2 are parallel and separated by a distance d, which is large compared with either radius. Show that the capacitance per unit length is given approximately by C=\pi\epsilon_0 \left(\ln\frac{d}{a}\right)^{-1} where a...
  6. C

    Measurement of capacitance of dielectric film using front contants

    Hi, I have deposited a film of dielectric on SiO2 substrate. Then, deposited metal dots on the top of dielectric film to measure electrical properties. I want to measure capacitance using metal dots on the top of dielectric. Since I have SiO2 as a substrate, I can not make a parallel plate...
  7. C

    Measurement of capacitance of dielectric film using front contants

    Hi, I have deposited a film of dielectric on SiO2 substrate. Then, deposited metal dots on the top of dielectric film to measure electrical properties. I want to measure capacitance using metal dots on the top of dielectric. Since I have SiO2 as a substrate, I can not make a parallel...
  8. S

    Lumped capacitance model if you insure the interior is well mixed?

    Hi everybody. I have been doing some experimental heat loss calculations on a sealed cube of fluid, filling the volume of the cube with hot water then sitting it in a larger tank of fluid at a fixed cooler temperature and monitoring the drop of temperature inside the box. I have also positioned...
  9. W

    How are magnetic fields created, what is capacitance energy and voltage

    Hello everyone, I hope this is in the right section. if not i'll be happy to move it. Anyways i have a few questions about general concepts so this may be a lengthy one. Any and all help is REALLY appreciated. I have attached two photos of something explaining the creation of a magnetic...
  10. L

    Capacitance when dielectric is introduced

    Homework Statement a dielectric of dielectric constant 3 fills three fourth of the space between the plates of a parallel plate capacitor. What percentage of the energy is stored in the dielectric. Homework Equations U=CV2/2 = epsilon0AV2/d.2 The Attempt at a Solution When...
  11. J

    Changing the capacitance of an object to trigger a capacitive touchscreen

    I'm trying to trigger a human touch in a capacitive touchscreen without the 'human' part. I've noticed that the negative pole of a battery triggers it if you are currently holding it. Or if you use the edge - why only the edge? - of a wire touching the battery and your hand. I also attached a...
  12. J

    High Xc with stray capacitance

    Hello. I know the formula for capacitive reactance is 1/2PIfC. The function says that if frequency is constant, the Xc increases as C decreases. Question is, in a 60 hz system, stray capacitance in wire does not turn a jumper into an infinite impedance. A piece of wire 1 foot long had...
  13. C

    Mystery of Capacitance Increase with Dielectric Insertion

    I thought capacitance was a function of geometry. So how come when we put in a dielectric in between a parallel plate capacitor it increases the capacitance. Is this because we can increase the E field in between without worrying about dielectric breakdown. Or does it have something to do with...
  14. A

    Why doesn't capacitance decrease with increase in temperature?

    why doesn't capacitance decrease with increase in temperature?? It is known that conductivity increases with temperature.This is because heat provides kinetic energy to the electrons in a substance,thus increasing the rate of "flow" of electrons.Considering this,the electrons in a dielectric in...
  15. F

    Equivalent capacitance of an infinite system

    Homework Statement Find the equivalent capacitance of the infinite system between points a and b (see figure). Where Vi is the potential difference in the number i capacitor. Homework Equations Q=CV The Attempt at a Solution For number i capacitors we have the relations Q_i=CV_i...
  16. A

    Calculating Charge with known voltage and Capacitance in a network

    Calculate the charge Q1, on the positive plate of capacitor. In a previous step in the problem I found the Ceq to be 7.6E-6 and know this to be the correct answer. Q=VCeq I used the equation above but the number I found was incorrect. I am also asked these question and I have no idea what...
  17. A

    Find equivalent capacitance in a network with parallels and series

    What is the equivalent capacitance of the network. Parallel: C1 + C2 + C3 + Cn = Ceq Series: 1/C1 + 1/C2 + 1/Cn = 1/Ceq I added C2 C3 C4 and C5 as parallel and then added this to C1 as a series.
  18. R

    Residual capacitance relation with measured data

    Homework Statement Hello everyone! I'm writing a lab report about capacitance of a capacitor of mobile parallel plates. The experiment guide says to measure the capacitance when the distance tends to infinity. This is the residual capacitance, which in my measurings result in 5pF. Ok...
  19. T

    Finding current from capacitance and voltage

    Hi, I have been looking for some current source DAC, and have found a few types but I am having issue reading the datasheet. Some of them give the output min and mac I that the DAC can provide, which makes sense to me but other give input capacitance and "some type" of voltage. Can you...
  20. S

    Conceptual Problem about Capacitance

    I think I know the answers to the question I am going to ask but I am just going to make sure. This is going to be quite simple for most of the experts here so here goes: If we have a parallel plate capacitor and we double the distance between the plates while keeping the charge Q on the...
  21. C

    Capacitance and Electromagnetism

    1.Suppose that a blood vessel is 2.5 mm in diameter, the magnetic field is 0.08 T, and the electromagnetic force is 0.10 mV. What is the velocity flow of the blood? Assume that blood carries charged ions. Homework Equations B=F/qvattempt looking for v isn't possible since I have no idea how to...
  22. A

    Capacitance of concentric circles

    Homework Statement i have a graph or r against V and to make it a straight plot i then plotted ln(r) against V, Homework Equations The Attempt at a Solution the problem is i dnt know how to find the capacitance from the graph. it definitely isn't the gradient or the point of...
  23. S

    Calculating Capacitance of a Capacitor

    Hello, I have a question regarding the equation q=CV, where q is the charge and V is the potential difference of a capacitor, and C is the proportionately constant C of the capacitor. From what I understand, the value of C depends only on the geometry of the plates and NOT on their charge or...
  24. A

    Capacitance calculation by using conformal mapping

    Hi all How to calculate the capacitance of a sphere-plane system by using conformal mapping? Thanks
  25. Femme_physics

    Understanding capacitance formula

    Understanding "capacitance" formula In this formula http://img810.imageshack.us/img810/9127/capacitance.jpg 1) What does it mean the area of overlap of the two plates? Does it mean the "area" of the plates? And, is the area of one plate always the same size of the other plate? And also, 2)...
  26. N

    Finding equivalent capacitance

    Homework Statement For the circuit in the link below, find C equivalent: https://picasaweb.google.com/lh/photo/-p0vPLyvxZ_W_sXiWEIikDlT_BqmZyKP1qROOFyElOQ?feat=directlink Homework Equations The Attempt at a Solution I tired many ways to solve this but the middle branch...
  27. B

    Is it possible to get a equivalent capacitance from S parameters?

    Hi there, first, I apologize for my poor English. I made a simulation model and get results from HFSS Model has a equivalent circuit like that.(1) I run that model and get pair of solutions 'frequency vs response' like S parameter for each frequency. So, with these results, is it possible to...
  28. E

    Capacitor Circuit: Equivalent Capacitance & Charge

    Homework Statement For the capacitor circuit shown below: A. Find the equivalent capacitance B. What is the charge on the 3\muF capacitor? Homework Equations Q= C\DeltaV Parallel= C1 +C2+C3 Series= (1/C)=(1/C1)+(1/C2)+(1/C3) C1= 8\muF C2= 5\muF C3= 3\muF The Attempt at a...
  29. A

    Capacitance and max field strength of a concentric sphere capacitor

    Homework Statement A capacitor is formed by two concentric spheres r1= 30 cm and r2=15 cm, with a liquid insulant between them with relative permittivity Er=4. The potential difference between the spheres is 1 kV. Find: 1. capacitance 2. maximum field strength in the gap between the two...
  30. M

    RLC circuit with variable capacitance problem

    Consider a series RLC circuit. The applied voltage has a maximum value of 120 V and oscillates at a frequency of 81 Hz. The circuit contains a variable capacitor, an 820 \Omega and a 3.7 H inductor. Determine the value of the capacitor such that the voltage across the capacitor is out of phase...
  31. C

    Given capacitance & energy dissipated, find the charge Q

    Homework Statement A capacitance of 2\mu F having a charge Q_0 is switched into a series circuit of 10\Omega resistance. Find Q_0 if the total energy dissipated in the resistance is 3.60 mJ. Ans. 120 \mu CHomework Equations Q=CV The Attempt at a Solution E=\int_0^\infty p(t)dt=\int_0^\infty...
  32. C

    Capacitance: given V waveform, find max. power

    Homework Statement A capacitance of 60 \mu F has the voltage waveform shown in Fig. 2-36. Find P_{max}. [PLAIN]http://img828.imageshack.us/img828/5255/unled2copy.jpg Homework Equations p(t)=i(t)u(t)=\left(C\frac{du(t)}{dt}\right)u(t)The Attempt at a Solution When is power at maximum? Is it...
  33. C

    Find max. stored energy (in capacitance and inductance)

    Find "max. stored energy" (in capacitance and inductance) 1.) I'll start with capacitance since I get closer to solution (than in inductance problem). :redface: First get the voltage v(t)=\frac{1}{C}\int i(t)dt=\frac{1}{C}\int \frac{V_m}{R}e^{-\frac{t}{RC}}=-V_m e^{-\frac{t}{RC}} Now...
  34. H

    How can I simplify a network of capacitors using a Y-Δ transformation?

    I've made some capacitors association exercices and i got stuck on 2 of them. Q1: Q2: How can i get the equivalent capacitance on this 2 capacitors systems? Ty
  35. B

    Combined thermal capacitance

    Homework Statement The mass of the water m_w in a beaker is 0.03988kg the mass m_g of the glass the beaker is made of is 0.031kg the specific heat c_p_g of the glass is 800 J/(kg*degrees C) the specific heat c_p_w of the water is 4178 J/(kg*degrees C) m_w*c_p_w = C_w where C_w is the...
  36. M

    Calculating Equivalent Capacitance for C1, C2 & C3

    for what values of C1, C2, and C3 make the terminal pairs equivalent? i know the 2f and 1f capacitance are in series: (1*2)/(1+2) = 2/3 and i know the 1/2 f is parallel to the preceding capacitors: 2/3 + 1/2 = 7/6 but i am unsure where to go from here... any help would be...
  37. L

    Surface charge, electric fields, and capacitance

    Homework Statement Two large conducting sheets are charged with a positive surface charge density. They stand vertically facing each other a distance d apart. a.) suddenly, we shrink the left sheet to a square with sides equal to d, what is the field at the point along the central axis of...
  38. L

    Equivalent Capacitance or Resistance and Kirchoff's rules

    Homework Statement If each capacitor is filled with a dielectric material (with constant K, kappa), what is the new equivalent RC circuit? All resistors have equal value, and capacitors have equal value (without a dielectric), C. Homework Equations C = (Epsilon * Area) / Distance C with a...
  39. L

    Capacitance Problem: Getting Charge on Each Capacitor

    I'm given that a 2.0\mu F capacitor is charged with 300V and 6.0\mu F capacitor is charged at 150V. They are then disconnected from the batteries and connected to each other. I correctly got the net charge between their plates as 3.0*10^{-4}C, however I can't get the charge on each capacitor...
  40. Terocamo

    Capacitance and charge confusion

    It was told many times by my teacher that a disconnected metal plate and an earthed metal plate, forming a capacitor, will have the same charge regardless their seperation. I understand how the charge of the disconnected metal play remains unchanged, but I don't really understand how the...
  41. W

    Capacitance linking to phase shift

    Hi, I'm looking for an equation which links capacitance to the phase difference between two microphones (picking up audio from a loudspeaker). (the speaker gives off a signal at 3 kHz). My experiment, at the end of the process, was devised to be linked into the setting of microphone...
  42. L

    Calculating Capacitance to Limit Voltage in Solenoid

    Homework Statement A solenoid with self-inductance L=2H and carrying a steady current of 1 A has the current source suddenly turned off. What is the minimum capacitance that should be connected across the terminals of the solenoid in order to prevent the potential difference generated by...
  43. V

    Electrostatic potential and capacitance

    Homework Statement C120 uF C2=40uF C3= 50uF if no capacitor has the capacity to bear more than 50V then maximum potential difference between the two ends is Homework Equations Q=CV The Attempt at a Solution i tried by calculating the Ceq then putting it in the equation finding...
  44. C

    Capacitance, parallel plates, electric field

    Homework Statement To find the capacitance of parallel plates, I am first finding the E field using gauss. However I don't know what the gaussian surface will be. I don't think it will be a gaussian pillbox as the plates aren't infinite, but will it be a sphere?? On a side note, if I...
  45. I

    Calculate Time for Charging/Discharging Capacitor w/16V Battery

    A 16 V battery, a resistor with R = 106Ω and a 6-μF capacitor are connected in series with a switch. Find the time taken for the capacitor; a) To charge to a voltage value of 12V b) Time to discharge to a value to 7V, after it has fully charged to 16V a) V_c = V_o \cdot \left(1 -...
  46. C

    How do I find the net capacitance across AO?

    Homework Statement The Attempt at a Solution There were 4 parts to find net capacitance across AD, FE, AE and AO I need help with AO and i don't have any idea how to do it
  47. H

    Calculating Distributed Capacitance of a Bifilar Coil?

    Hello everyone, I have been tirelessly searching the net trying to find out how to calculate the distributed capacitance of a multi-layer bifilar coil. Just wondering if anyone here can point me in the right direction?
  48. S

    Capacitance in a Cylinder: Which Direction is the Voltage Calculated?

    Hi everyone In most problems I've seen involving capacitance of a coaxial cable, there is an inner cylinder of radius a with +Q charge and and an outer cylinder of radius b with -Q charge. The voltage is calculated from a to b. However, in this problem the inner cylinder is -Q and the outer...
  49. I

    Find capacitance from time, power, and voltage

    Homework Statement A flashlight uses 6.0J in 1.8ms (0.0018 seconds). First question: find the power. Got it: 3333W (3.3E3 with two sig figs, which is the accepted answer in the online system). The real problem: find the capacitance if the flashlight uses 200V. Homework Equations Power =...
  50. V

    Capacitance & Potential Difference Question

    Homework Statement A parallel plate capacitor of capacitance 5.2 µF has the space between the plates filled with a slab of glass with κ = 4.0. The capacitor is charged by attaching it to a 1.8-V battery. After the capacitor is disconnected from the battery, the dielectric slab is removed...
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