Rc-circuit Definition and 13 Threads

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...

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...

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...

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...

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...

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...

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...

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.

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(∞)...

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...

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...

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...

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...