A resistor–capacitor circuit (RC circuit), or RC filter or RC network, is an electric circuit composed of resistors and capacitors. It may be driven by a voltage or current source and these will produce different responses. A first order RC circuit is composed of one resistor and one capacitor and is the simplest type of RC circuit.
RC circuits can be used to filter a signal by blocking certain frequencies and passing others. The two most common RC filters are the high-pass filters and low-pass filters; band-pass filters and band-stop filters usually require RLC filters, though crude ones can be made with RC filters.
Homework Statement
I have an RC Circuit. There's the EMF (voltage supplier; battery), a resistor, and a capacitor. They are all in series. I need to prove that
--the energy stored in the capacitor through it charging equals 1/2 the energy supplied by the EMF
Then I need to show
--how much...
RC circuit - charge on capacitor after a "long time"
Circuit: 10V goes to 100ohm resistor, then there's a branch point. One side leads to a a resistor R2 = 100ohms and the other to a capacitor with C = 1uF. The switch is located just before R1, and is closed for a "long time."
Solution: Ok...
In the following circuit R1 = 12.9 Ohms, R2 = 3 Ohms, V = 39 Volts, and C = 10.1 micro-Farads. If one waits 2 time constants after the battery has been connected (charge in capacitor is zero before the battery is connected), what is the voltage across R1 in volts? Hint: first find the charge...
Homework Statement
http://img14.imageshack.us/img14/4822/2116b.png
The circuit has been connected as shown in the figure for a “long” time.
What is the magnitude of the electric potential across the capacitor?
Answer in units of V.
Homework Equations
Kirchoff's rules
V = IR
V(t) =...
Homework Statement
The capacitor in an RC circuit (R = 130 \Omega, C = 40uF) is initially uncharged.
1) Find the charge on the capacitor in the circuit one time constant (tau = RC) after the circuit is connected to a 9.0- V battery.
2) Find the current in the circuit one time constant (\tau...
Homework Statement
Calculate the rise time (the time require for the output to go from 10% to 90% of its final, or steady state, value) for the circuit shown above when a step input of 5V is applied for the following resistor values: 1k, 10k, 100k, 1000k with C equal to 0.01uF...
hi
i want to drive led's through a RC series (time constant) circuit, which is powered by a DC source and when the capacitor is fully charged,, the switches should be such that the capacitor will discharge automatically glowing the led's from opposite direction,
So the led's will give one...
I'm trying to wrap me head around what should be a very simple system, but I just can't manage it. I know there is no closed form for this problem (ignoring a voltage step like is shown in the diagram below, imagine it is a arbitrary voltage supply, or even more exactly, that R2 changes over...
Homework Statement
An oscillating LC circuit has a current amplitude of 7.20 mA, a potential amplitude of 250 mV, and a capacitance of 240 nF.
(a) What is the period of oscillation?
(e) What is the maximum rate at which the inductor gains energy?
Homework Equations
Possibly: Energy stored in...
RC Circuit discharge question - test prep for tomorrow
Homework Statement
A charged 6\muF capacitor is discharged across a 2\Omega resistor. How long does it take to lose half its stored energy?
Homework Equations
...so many:
Q = CV
V = IR
W = I2R
U = 1/2 QV
V = V0e-t/RC
The...
SOLVED - RC Circuit - Question
http://img291.imageshack.us/img291/5585/bulbd.th.jpg
This problem is giving me a headache. I feel certain that bulb B is the brightest when the capacitor has half its maximum charge. However, I am having a hard time coming up with equations for the circuit...
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...
Homework Statement
In an RC circuit under charging, does the current actually flow across the plates of a parallel plate capacitor?
Does charge emanate from both terminals of the battery and move to the plates of a capacitor or does charge only emanate from positive terminal and get...
For a long period of time the switch S is
in position “b”. At t = 0 s, the switch S is
moved from position “b” to position “a”.
....3 M ohm
l---------------^^^^^^-----------------l
l........…......l
l...1 M ohm...4micro F.....l b
l---^^^^^^^^^-------------ll---------/ i...
Three common light bulbs and two identical capacitors are connected to a battery as shown in the figure below. The switch has been open for a long time. At t = 0 the switch is closed. The light bulbs are all identical and the battery has a value V = 6 V. (The brightness of a light bulb depends...
Homework Statement
Consider the electrical circuit consisting of an E = 6 V battery, two switches S1 and S2, two resistors R1 = 4 ohm and R2 = 2 ohm, and a capacitor C = 2 \muF. The internal resistance of the battery may be ignored. Initially the switches are both open and the capacitor has no...
Homework Statement
Three identical capacitors are connected with a resistor in two different ways. When they are connected as in part A of the drawing, the time constant to charge up this circuit is .34s. What is the time constant when they are connected with the same resistor as in part B...
Homework Statement
Solve the differential equation R\frac{dq}{dt} + \frac{q}{C} = v_0
R is resistance, q is charge, t is time, C is capacitance, and v_0 is the EMF of the power supply.Homework Equations
First-order linear differential equation solving method
The Attempt at a Solution
This is a...
The values of components in a simple RC circuit in series with a key are: C = 1x10^{-6}F, R=2x10^{6} Ohm and epsilon = 10 V. 10s at the moment after the key is closed, calculate:
a) the charge in capacitor
b) the current in the resistor
c) the rate at which energy is stored in capacitor
d)...
Everybody knows what a wheatstone bridge looks like. R1 and R2 are on top and R3 and R4 are on bottom and R5 is in the middle of the angled box shape.
let's replace R1 and R2 with 2 different capacitors. Let's also replace R5 with a switch.
How would you figure out the potential...
Laplace help on a DC transient RC circuit ? PLEASE
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I HAVE A RC CIRCUIT WHERE R1=100Kohm and R2=1Mohm and C=2.1micro farads with a Vin =10V,
In order to calculate the voltage through the capacitor I...
I HAVE A RC CIRCUIT WHERE R1=100Kohm and R2=1Mohm and C=2.1micro farads with a Vin =10V,
In order to calculate the voltage through the capacitor I deduce the following formula,
Vc(s)=V/S {(((R2×1/Cs)/(R2+1/Cs)))/(((R2×1/Cs)/(R2+1/Cs)+R1) )}
I then need to produce a laplace transform...
Homework Statement
1) Determine the current in each resistor and charge on the capacitor after a long time immediately after the switch is closed
2) Determine the current in each resistor and charge on the capacitor after a long time
After the switch has been closed for a long time it is...
Homework Statement
Given a series circuit with a capacitor of capacitance C, a resistor of resistance R, a DC voltage source with a voltage V, and an open switch (by open I mean not connected so no current flows through). At t=0 the switch is closed. How much energy is dissapated by the...
RC Circuit
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Hi guys, I am trying to built an RC circuit in series to light a bulb intermitently. That is on and off in a time interval. Any ideas?
Homework Statement
The switch in the figure (Intro 1 figure) has been in position a for a very long time. It is suddenly flipped to position b for 1.25 ms, then back to a. How much energy is dissipated by the resistor?
the circuit for a is 50V battery, 125 ohm resistor and 20uF...
Homework Statement
All capacitors of the open circuit in fig. 3 are discharged when, at time t=0, the switch S1 is closed. At some point later, at time t = t1, the switchS2 is also closed. What is the charge Q1(t2) on the capacitor C1 at time t = t2 > t1?
http://www.vkgfx.com/misc/fig3.jpg...
Homework Statement
I think I am turning retarded. For some reason I can't get the right values for a simple voltage division in the s-domain. Find Vout in terms of Vin
http://img11.imageshack.us/img11/6325/tardf.jpg Homework Equations
The Attempt at a Solution
So I do H(s) = (1/s) / ((1/s) +...
Hi,
I'm just a humble biologist (writting up a PhD Thesis in Neuroscience) and I'm trying to get a feel for how my equipment works. The circuit for monitoring the current that flows across a cells membrane (in response to an imposed voltage step) can essentially be seen as a resistor, connected...
Homework Statement
Find the general solution of L \frac{d^2I}{dt^2} + R \frac{dI}{dt} + \frac{I}{C} = \frac{dV}{dt} given L = 0 and V = V_0 cos(\omega t). Homework Equations
The Attempt at a Solution
So the equation basically turns into a first-order RC circuit equation R \frac{dI}{dt} +...
Homework Statement
RC circuits and discharging a capacitor
ok, say I have the following:
R = 4700 ohm
C = 39 micro farads
they are arranged in series and the battery is replaced using a function generator, which we set to produce a square wave (on/off). With any frequencies set.
How can I...
Homework Statement
Three resistors, three capacitors, a battery, and two switches are connected in the circuit shown below. The values of all circuit elements are given in the figure. Originally, the switches S1 andS2 are open (as shown) and all of the capacitors are uncharged. At time t = 0...
Homework Statement
In the figure below the battery has an emf of 20 V and an internal resistance of 1.
Assume there is a steady current flowing in the circuit.
http://img48.imageshack.us/img48/9211/44724253.gif
Find the charge on the 4 μF capacitor.
Answer in units of μC.
Homework Equations...
Homework Statement
http://img301.imageshack.us/img301/9426/55126286.jpg
The cirucit shown has been connecteed for a long time. the battery ahs an internal resistance of 1 ohm.
1) Determine the terminal voltage of teh battery
2) Determine the current in the 4 ohm resistor
3) What is...
Homework Statement
For the following questions, consider a charging RC circuit, and let the time constant be represented by τ.
How many time constants have elapsed when the capacitor has 80.0% of its final charge?
Homework Equations
I have no clue! i just need a nudge.
The Attempt...
Homework Statement
Use the value:
E = 200 V,
Horizontal resistor R1 = 1136 capital omega,
Vertical resistor R2 = 568 capital omega, and
Capacitor C = 5.37 mu or micro F,
(a) the initial current through the battery just after the switch is closed:
(b) the steady state...
Hello,
my last post may have seemed a little too long or complicated apparently, so I'll try to simplify and adjust my questions this time.
THE SITUATION: I want to build a circuit comprised of capacitors and a small resistor of 1 Ohm.I link all my capacitors in parallel and I temporarily...
Homework Statement
Solve for the current in each branch of the following circuit as a function of time & derive and expression for the time dependence of teh emf of the constant current source in the circuit below.
Homework Equations
Zc = Xc = 1/(wC) = t/(2pi*C)
The Attempt at a...
Homework Statement
I did the RC circuit lab
I measure the actual resistance of 1000Ω
Function Generator Resistance: 50 Ω
Function Generator Frequency: 1.4Hz
resistor used was 41uF in C1
Resistor used was 22uf for c2
So i have to find c1, c2 and use c1,c2 to calc. the total...
Homework Statement
Consider an RC circuit in which a capacitor is being charged by a battery connected in a circuit. Initially the capacitor is uncharged. Then the switch is closed.
After a time equal to 4.5 time constants, what percent of the final charge is present on the capacitor...
Homework Statement
Initially the switch is closed in the circuit shown and the light bulb is shining brightly. What happens when the switch is opened? (diagram in attached link)
1. The bulb goes out immediately.
2. The bulb gets gradually brighter.
3. The bulb gets gradually dimmer...
The following 3 step process refers to a simple RC circuit with a battery and an initially open switch:
1- the switch is closed, allowing the capacitor to charge;
2- after the capacitor has charged, a slab of dielectric material is inserted between the plates of the capacitor and time...
Why is time in a series RC circuit linearly dependent on capacitance as charging/discharging time is increased? (same with resistance) I thought RC circuits were exponential.
Homework Statement
For the RC Circuit (R = 1M Ohm, C = 1 Micro Farad and E = 30 V) find the potential difference across the resistor 10 sec after the switch is closed.
Homework Equations
V = E (1 - e^ -t/RC)
The Attempt at a Solution
I use the above equation but I get it wrong...
Homework Statement
http://i.thespiffylife.com/files/1/trans1.jpg
i have to find Vc(t)
Homework Equations
I know that Vc(0+) = Vc(0) = Vc(0-) and Vc = Vs*e^(-t/RC)
The Attempt at a Solution
What I'm unsure on is what the equivalent resistance of the circuit would be so I could find the...
A 0.25mu F capacitor is charged to 50 V. It is then connected in series with a 25ohm resistor and a 100ohm resistor and allowed to discharge completely.How much energy is dissipated by the 25ohm resistor?
I know that Q=CV
and U=.5CV^2=.5 * Q^2/C
Now U is the energy released over both...
In the equation I= Imax * e^(-t/RC)
When do you use E/R for Imax
and when do you use Qmax / RC
??
I have seen them used interchangeably in discharging problems and in charging problems. Are there any guidelines to use one for one type of problem and the other for another type?
To me...
Find the power factor for an RC circuit connected to a 70Hz generator with an rms voltage of 125V. The values of R and C in this circuit are 105ohms and 82.4microfarads, respectively.
The equation I think you use is P=IVcos\oslash and also z= square root of R^2+(1/wc)^2 and cos0 = R/Z...