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.
Homework Statement
The power factor of a circuit has to be improved from 0,6 to 0,9 by adding capacitors. Originally, it only has an inductor L, a resistence R and a generator V. The circuit requires an active power of 3000 VA, and that should remain the same. Vef = 220V.
The Attempt at...
Homework Statement
An LC circuit consists of a 1mH inductor. The capacitor is fully charged. After 2.1 ms,
the energy in the capacitor is ½ of its original value. What is the capacitance of the
circuit?
Homework Equations
(Q/C)+ L(d^2Q/dt^2)=0
d^2Q/dt^2= -(1/LC)Q
The Attempt at...
Dear Sir,
I would like to know the origin for the following formula for capacitance. A textbook which describes this formula will be better so that I can buy it.
Please see the attachment for better understanding.
C= (2*pi*Epsilon o* Epsilon r* l)/ln(2*h)/r...
Homework Statement
A 0.2uf and 0.1uf capacitor are connected in series to a 9V battery. Calculate a) the potential difference across each capacitor and b) the charge on each.
Homework Equations
Not sure
The Attempt at a Solution
I don't even know where to begin, sorry :(
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
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...
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...
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.
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...
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...
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...
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) =...
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...
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...
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!
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
[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...
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...
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...
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...
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...
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...
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...
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...
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?
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...
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?
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
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 =...
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...
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...
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...
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...
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...
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...
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!
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...