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.
Hello, I am not quite sure how to work out the before and after charging values for resistance and current.
This is the circuit I am working with:
So, when there is no voltage then the capacitor can be technically not considered as part of the circuit. So for the resistors, would R = 1/R1...
Homework Statement
Parallel plate capacitor, C = 1.7 uF
the difference between the two plates is 3 V
Find the energy stored in the capacitor
Homework Equations
U = 1/2 QV^2
The Attempt at a Solution
U = 1/2 (1.7x10^-6 F) (3V)^2 = 3.65x10^-6 J
Says the answer is: 1.53x10^-5 J
Not sure...
When answering a related question on physics forum, I found something I seemed to be confused about:
Suppose we have a battery connected in series to a capacitor with no charge. A capacitor with no charge on it acts like an open circuit.
I know what happens next: the battery charges the...
Homework Statement
Number 9
Homework Equations
Ampere's law; B*dl= mu(I_enclosed + I_displace)
I_displace=e_0 * d(E*dA)/dt
The Attempt at a Solution
[/B]
There's no current enclosed, only displacement current. I don't know how to find the change in electric flux, so I don't know how I...
1-capacitance of sphere with radius r : 4πεr
2-capacitance of 2 concentric spheres with inner radius a and outer radius b : 4πε(a.b/b-a)
3-when the outer the outer sphere is earthed it gives the same capacitance as in number 2
4-when the inner sphere is earthed it gives the sum of capacitances...
Suppose we have an RC series dc circuit with two capacitors C1 and C2 and resistance R. If the switch is closed at t=0, all the voltage appears across R initially. Fine.. But how does it reach across R through two insulation barriers (breaks) in the circuit? I can understand the mechanism for...
Homework Statement
I am doing a project on the Elenco AM/FM superheterodyne radio kit. I have been stuck for ages trying to figure out how the two common emitter amplifiers are tuned to filter out anything that is not around 455 kHz. I tried to find a bandpass filter, or a high-pass and a...
Could someone explain to me how a capacitor discharges through another capacitor of different capacitance. Why does the voltage on the second capacitor have to equal the voltage on the first capacitor after the discharge.
Please explain the concept to me in simple terms, do not go into...
Homework Statement
How much work would be required to remove a metal sheet from between the plates of a capacitor, assuming
a) the battery remains connected so the voltage remains constant
b) the battery is disconnected so the charge remains constantHomework Equations
When a metal sheet with...
Homework Statement
We have two coaxial cylinders with radius r0 and r1. The space between the two cylinders is completely coverd with two coaxial isolation layers with relative dielectric constants ε1 and ε2, ε1 is for the inner layer. Calculate the thickness of the inner layer such that the...
The cell can provide conatant emf ε and initial charge of capacitor is zero.
Now current through resistor initially is zero and increases. But the potential difference across the capacitor is always a constant with magnitude ε.
then ##\frac{q(t)}{C}=E##
So ##q(t)=CE## which implies q is constant...
Homework Statement
Calculate the current in the capacitor shown in the figure below if the voltage input is V(t) = 29cos(377t-30) V, C = 1 micro Farad
Homework Equations
i = C dv/dt
The Attempt at a Solution
I essentially differntiate V(t) and multiply by 1 * 10^-6. I then get a negative...
Homework Statement
Capacitors C1 and C2 are connected in series and this combination is connected in parallel with capacitor C3.
Homework Equations
Q=CV
Ceq=C1+C2+C3 equivalent capacitance for capacitors in parallel
1/Ceq=1/C1+1/C2+1/C3 equivalent capacitance for capacitors in series
The...
Homework Statement
Consider a parallel-plate capacitor, with two square plates of side \mathrm{12.0 cm} separated by a \mathrm{4.50- mm} gap. Half of the space between the gaps is filled with a material of dielectric constant \mathrm{K = 3.40}, while the rest is filled with just air.
(a) What...
Homework Statement
NOTE: Image uploaded with thread shows problem in clearest possible form.
V = (45v)sin(80[pi] t)
Resistors 1 and 2 = 50 Ohms
Inductor 1 = 20 mH
Inductor 2 = 2.5 mH
Capacitor = 50 uF
a) Find the power dissipated by each resistor.
b) At what frequency will both resistors...
Homework Statement
I'm asked to qualitatively draw two curves, one on top of the other: the resulting signal in Q4’s collector with and without the effect of the speedup capacitor (see attachment).Homework EquationsThe Attempt at a Solution
I used the net to find the graphs in attachment 2. Do...
Homework Statement
The space between two spherical shells kept at potentials V1 and V2, respectively, is filled with a dielectric medium. Find the electrostatic energy on the medium.
Homework EquationsThe Attempt at a Solution
I know how to get the energy if I am given the electric field or...
Homework Statement
A homemade capacitor is assembled by placing two 9-in.
pie pans 4 cm apart and connecting them to the opposite terminals
of a 9-V battery. Estimate (c) the electric field halfway between the
plates.
Homework Equations
V=E x d
The Attempt at a Solution
As it says "halfway" I...
A 3500-pF air-gap capacitor is connected to a 32-V
battery. If a piece of mica is placed between the plates,
how much charge will flow from the battery?Homework Equations
C = K€A/d[/B]The Attempt at a Solution
Q1=C1V1
Q2=C2V2
V1=V2=V
C2=7C1(as only diference between C1 and C2 is the mica and...
In an example in my book, the author poses the following question: Given two large plates
at a distance d from each other with arbitrary charges Q' and Q" (with Q' on the bottom plate
and Q" on the top plate), how are the charges distributed on the plates? The author lists
the following...
The time t taken by a capacitor of capacitance C in a charging circuit with a resistance R in series with it to accumulate charge q is given by the equationt=τln(q/(Q−q)),where τ is the time constant given by τ=RC and Q is the maximum charge the capacitor can have when fully charged in that...
Homework Statement
Homework Equations
q(t) = Cε(1-e^(-t/RC))
The Attempt at a Solution
for part a) the instant the switch is closed there is no charge on the capacitor so I am pretty sure I can ignore it for this part and use keirchoffs rules to find the currents through each resistor...
Hello! I'm hoping someone can help me with my problem. I'm currently working on a low cost parallel plate capacitor. I used a galvanized iron as the plate material since this is a low cost material. The problem is when I measure the voltage across the capacitor, the voltage read peaks at a...
Say you are using an op-amp as a buffer, so the output is tied straight back to the inverting input. And in-between your voltage source and the non-inverting input you have a capacitor.
(Voltage Source)---------------||-------------(Non-inverting input of the op amp)
How would the op-amp know...
Homework Statement
A capacitor C is charged to an initial potential of 70.0 V, with an initial charge of Q0. It is in a circuit with a switch and an inductor with inductance L = 4.03×10-2 H and resistance RL.
At t=0, the switch is closed, and the curve below shows the potential V across the...
Homework Statement
A 25 and a 40 capacitor are charged by being connected across separate V batteries. The capacitors are then disconnected from their batteries and connected to each other, with each negative plate connected to the other positive plate. What is the final charge on each...
Hello,
Capacitor
When a capacitor is connected to a voltage source, electrons will move from one plate and accumulate in the other in accordance to Q=CV. Due to the imbalance of charges (positive and negative ions) between the plates, an electric field exists that flow in the direction of the...
(Sorry, meant to post this in Introductory Physics Homework, if someone could please move it.)
1. Homework Statement
Use Kirchhoff's Loop Rule to solve for the voltages of the five capacitors in the network shown below.
Homework Equations
For Capacitance, C = q/v
Kirchoff's juction law...
I have created a generator outputting 300v spikes at 333 spikes per second. Wanting to discharge spikes to
4700 uF/400v capacitor bank and am having trouble calculating the cap discharge rate, and if a 555 timer is the appropriate tool for discharging the capacitance into an inverter. I am a new...
Homework Statement
I am not sure how an Inductor behaves in an RLC Series Circuit
Homework Equations
The Attempt at a Solution
I know that after a long time, that the circuit above, the voltage in the capacitor is max. Generally, I also know that the current through an inductor after a...
Homework Statement
The potential difference Δϕ between the plates of a spherical capacitor is kept constant. Show that then the electric field at the surface of the inner sphere will be a minimum if a=(1/2)b, find that minimum.
Where: a=radius of the inner sphere, b=radius of the outside...
Homework Statement
[/B]
With a 12V battery, a 5.00µF capacitor and a 8x105Ω resistor determine the following:
a) The time constant of the circuit
b) The maximum charge on the capacitor
c) The maximum current in the circuit
d) The charge on the capacitor as a function of time, q(t)
e)...
Homework Statement
Hi,
I have 2 capacitors c1, c2
c1=.05 uF
c2=.1 uF
Q=CV
c1 is fully charged and connected to a .4V battery in a parallel circuit
c2 is uncharged
c2 was unconnected initially to c1 but once joined c2 can receive a charge from c1.
charge on C1=2 X 10^-8
what is the %...
BEFORE YOU READ THE REST: Problem (f) is the only one I need help with. Thank you! I have already confirmed all my other values as correct in my online program!
1. Homework Statement
In the figure a potential difference V = 150 V is applied across a capacitor arrangement with capacitances C1...
Hi again - partially stuck with a question and I'm not sure where to go. Hoping someone would be able to give me a hint :)
A 75 W non-inductive light bulb is designed to run from an ac supply of 120 V rms to 50 Hz. If the only supply available is 240 V rms show that the bulb can be run at the...
Can anyone please tell me whether I have solved this question correctly or not.
1. Homework Statement
A parallel plate capacitor has a charge of 0.040µC on each plate with a potential difference of 240 V. The parallel plates are separated by 0.20 mm of air. What energy is stored in this...
Homework Statement
[/B]
The figure shows a parallel-plate capacitor with a plate area A = 5.29 cm^2 and plate separation d = 8.10 mm. The left half of the gap is filled with material of dielectric constant κ1 = 6.50; the right half is filled with material of dielectric constant κ2 = 11.4. What...
Odd question, would anybody know what would happen if a parallel plate capacitor (good conductor) had a soft magnetic material (fairly poor conductor) as a dielectric? What would be the DC/AC electrical characteristics of this?
Homework Statement
The plates of a spherical capacitor have radii 51.8 mm and 55.0 mm. (a) Calculate the capacitance. (b) What must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance?
(givens)
a = 51.8 mm
b = 55.0 mm
d = 3.2 mm
ε0 = 8.85E-12...
Homework Statement
Dry air has a resistivity of about 3*10^13 Ωm. A capacitor has square plates 10cm on a side separated by 1.2mm of dry air. The capacitor is charged to 250V. Assuming the potential difference does not change as the charge flows, what fraction of the charge will flow across the...
Homework Statement
A 5.02 pF air-filled capacitor with circular parallel plates is to be used in a circuit where it will be subjected to potentials of up to 95 V. The electric field between the plates is to be no greater than 1.40×104 N/C. As an electrical engineer for Live-Wire Electronics...
Consider a parallel plate capacitor in vacuum, we hold a test charge below one plate and release it at some point in time, we observe that the charge is accelerating towards the other plate, that is the charge is gaining kinetic energy.
My question is how does the loss of energy from the...
A while ago my dvd player stopped working so I checked the board out and found the problem was a blown capacitor. The capacitor that blew out was of 1000μF10V I was able to find a replacement but the voltage is different its a 1000μF35V I was wondering if putting this new capacitor in would mess...
Hi there, new to this website so please bare with me if I break any rules and let me know for future.
I am a maths and physics tutor but occasionally I come across a question I just cannot work the answer for. In this case I know the answer but I can't get to it.
1. Homework Statement...
Is it possible to make a device that could store all the heat put into it, until it builds up and amounts to something significant? It would basically be a capacitor for heat. I was thinking that since if it touched anything cooler than it, heat would drain out, so it would have to be in a...
Homework Statement
A parallel circuit like that in the figure forms the tuning circuit for an AM radio. If the inductor has a value of 8.6×10-6 H, what must be the maximum and minimum values of the variable capacitor if the radio receives frequencies from 590k Hz to 1670k Hz?
a) Maximum C?
b)...
What methods could I utilise to find the individual values of the components - resistor, inductor and capacitor - of a series RLC circuit using an oscilloscope, signal generator and 10 ohm resistor. Where each component can be isolated in order to find the voltage etc.
I've already found the...