Rc-circuit Definition and 13 Threads

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.

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  1. C

    I RC charging - intuition behind equal dissipated energies?

    Assume that a resistor R charges a capacitor C, whose other terminal is connected to the ground. The charge at time t = 0 is assumed to be null and the supply voltage is equal to V. We have, as is well known, ##i = \frac{V}{R} e^{-\frac{t}{RC}}##. Integrating ##\frac{i^2}{R}## between t = 0 and...
  2. bornofflame

    RC circuit - Rate o'energy dissipated = rate o'energy stored

    Homework Statement 1. A 2.01 uFcapacitor that is initially uncharged is connected in series with a 6.51 kΩ resistor and an emf source with 74.6 V and negligible internal resistance. The circuit is completed at t = 0. b) At what value of t is the rate at which electrical energy is being...
  3. bornofflame

    RC Circuit - Rate energy is dissipated in the resistor

    Homework Statement 1. A 2.01 uFcapacitor that is initially uncharged is connected in series with a 6.51 kΩ resistor and an emf source with 74.6 V and negligible internal resistance. The circuit is completed at t = 0. a) Just after the circuit is completed, what is the rate at which electrical...
  4. sumit_1

    Understanding Charge Flow in RC Circuits: A Scientist's Perspective

    I have a RC circuit which also includes a battery, the capacitor has some charge initially before we put all the components in the circuit. Now as I connect all of them then charge will start to flow, but wheather this charge will be the sum of initial charge on the capacitor and the new charge...
  5. A

    Opamp RC-circuit -- Capacitor time constant calculation

    Homework Statement for the opamp circuit give in the figure, find Vo(t) for t > 0 the figure is attached. Homework Equations I know that tau = R * C that is the time constant of a capacitor discharging is equal to the product of the resistor that it discharges through and its capacitance.The...
  6. Feodalherren

    Engineering How Is Alpha Calculated in the Discretization of an RC Circuit?

    Homework Statement [/B] Derive a discrete formula for an RC circuit for Vab[k] using the forward difference approximation. It should be of the form Vab[k + 1] = α Vab[k], and depend only on T, R, and C. For T = 0.076 s, R = 3 kΩ, and C = 10 mF, what is α? T is the period. The current is going...
  7. J

    Engineering RC-circuit -- Need help understanding why I get the wrong answer

    Homework Statement I have an RC circuit where C = 0.4 * 10^-6, R = 50k Ohms. The problem says: "Find the length of time required to dissipate 75% of the initially stored energy." Homework Equationsenergy 1: 1/2 * C * v(t) energy 2) w = ∫p(t)dx, from 0 to t The Attempt at a Solution This is...
  8. N

    Voltage over a capacitor in a RC-circuit.

    Why is the voltage over the parallel-connection containing the capacitor Vc= Q/C It makes a little (intuitive) sense to me, but I would like to see the proof if possible. Thanks.
  9. D

    Engineering DC RC-Circuit Question: Find i(t), v1(t), and v2(t) and prove v1(∞)=v2(∞)

    1. In the network given (Fig.1), the initial voltage on C1 is V1 and on C2 is V2 such that v1(0)=V1 and v2(0)=V2. At t=0 the switch K is closed. (a) Find i(t) fo all time. (b) Find v1(t) for t>0. (c) Find v2(t) for t>0. (d) From your results on (b) and (c), show that v1(∞)=v2(∞)...
  10. D

    Differential equation in simple RC-circuit

    Hi guys, I know this should be obvious, but there's something I am just NOT getting. Imagine a simple series RC circuit with a DC source as shown in the attachment. As can be seen from the picture, I have solved the differential equation in capacitor current in the time domain. In order to...
  11. Twinflower

    Engineering Solve Very Simple RC-Circuit w/ 12V, 1uF, 100Ω

    Homework Statement C = 1 uF E = 12 V Total R in circuit = 100 Ω Q = 0 before the breaker closes Problem A: Derive an expression for the voltage across the capacitor and the current through the circuit as a function of time after the breaker closes. Homework Equations This is...
  12. G

    Time dependent Resistance in an RC-circuit

    Homework Statement You have an RC-circuit with emf E, resistance R, and Capacitance C. However, R = R(t) = R_o(t/tao+1)^-1, where R_o is the intitial resistance. Assume that other than the time-dependent resistance, the circuit behaves normally. Homework Equations Show that during...
  13. A

    RC-circuit for charged capacitor

    Homework Statement I have a simple circuit consisting of a charged capacitor and a resistor connected in series to a battery. Suppose that initially the potential across the capacitor is greater than that of the battery. (ie. \frac{q}{C}>V). What happens to the capacitor when the switch...
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