# What is Rc-circuit: Definition and 13 Discussions

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. ### 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. ### 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. ### 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. ### 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. ### 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. ### 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. ### 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. ### 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. ### 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. ### 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. ### 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. ### 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. ### 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...