Consider an electric circuit containing acapacitor, resistor, and battery; see the figure.The charge Q(t) on the capacitor satisfies theRVequation RdtO' OPV, where R is theCresistance, C is the capacitance, and V is theconstant voltage supplied by the battery.a) If Q(0)= 0, find Q(t) at any time t, and sketch the graph of Qversus t.Q(t) =%3Db) Find the limiting value QL that Q(t) approaches after a long time.The limiting value Qz that Q(t) approaches after a long time isQLc) Suppose that Q(tı) = QL and that at time t = t; the battery isremoved and the circuit is closed again. Find Q(t) for t > tį andsketch its graph.Q(t) =

It is a simple RC circuit where the charge Q satisfies the equation RdQdt+QC=V where R is the…

Answered: Consider an electric circuit containing…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 84CP: In this chapter, most examples and problems involved direct current (DC). DC circuits have the...

See similar textbooks

Similar questions

A large capacitor of 3000 µF is charged by a constant current. After 1 minute it reaches a voltage of 100 V. At that voltage, the charging circuit is disconnected. a) Calculate the charging current. b) A second identical capacitor is connected across the capacitor, using wires with 1 kN re- sistance. Sketch a graph of the voltages on the two capacitors as a function of time, with appropriate numbers and units marked on the axes.
For the circuit shown in Fig.1 below, C1 = 5μF, C2 = 4μF, C3 = 6μF and ∆V = 65V. Find:(a) the equivalent capacitance, (b) the charge on each capacitor and (c) the potential differenceacross each capacitor.Figure 1: Problem 2.Problem 3For the circuit shown in Fig.2 below, determine the resistance R such that the current in R is0.50 A, with the sense from a to b.Figure 2: Problem 2.Problem 4A straight wire of length 0.40 m, carrying current I = 7.0 A is oriented at angle θ = 27◦ toa uniform magnetic field B = 1.2 T. The field is in the positive x-direction. Determine themagnitude and direction of the magnetic force on the wire.1
Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. L = 5h₁ R = q(t) i(t) 10 , C = Need Help? C A Find the maximum charge on the capacitor. (Round your answer to three decimal places.) с f, E(t) = 300 V, q(0) = 0 C, i(0) = 0 A 60 Read It
A series circuit contains a resistor and a capacitor as shown below. Determine a differential equation for the charge q(t) on the capacitor if the resistance is R, the capacitance is C, and the impressed voltage is E(t). (Use E for E(t) and q for q(t).) dq dt E R
Find the equivalent capacitance for the given circuit.
Оp Amp H.W) You have 5 voltage inputs (V1...5) and you wish to calculate 4(V1 + V2 + V3) – 2(V4 + V5). Design & Draw a circuit to achieve this.
If multiple capacitors are in a series circuit, describe how the total charge can be found. What if the circuit is a parallel circuit? Given a capacitance of 30 nF and a voltage of 30 J, compute for the charge and energy.
A series electric circuit contains a resistor R, a capacitor C and a battery supplying a time-varyingelectromotive force V(t). The charge q on the capacitor therefore obeys the equation R(dq/dt) + (q/C) = V(t) Assuming that initially there is no charge on the capacitor, and given that = sinωt V(t) V0 , findthe charge on the capacitor as a function of time. [Hint: First, find an appropriate integrating factor.]
Consider a series RC circuit as in the figure below for which R = 6.70 MQ, C = 4.70 μF, and E = 25.5 V. C E S + R (a) Find the time constant of the circuit. 31.49 (b) Find the maximum charge on the capacitor after the switch is thrown closed. 1.1985e-4 X What is the current in the circuit when the capacitor has reached its maximum charge? μC (c) Find the current in the resistor 10.0 s after the switch is closed. μA
Find the charge g(t) on the capacitor and the current i(t) in the given LRC-series circuit. L = 1 h, R = 100 , C = 0.0004 f, E(t) = 30 V, q(0) = 0 C, /(0) = 4 A q(t) = i(t) = с с A Find the maximum charge on the capacitor. (Round your answer to four decimal places.)
An LRC circuit is set up with an inductance of 1/5 henry, a resistance of 1 ohm, and a capacitance of 5/4 farad. Assuming the initial charge is 3 coulombs and the initial current is 3 amperes, find the solution function describing the charge on the capacitor at any time. What is the charge on the capacitor after a long period of time? Write the function that describes the charge on the capacitor at any time. 9(1) = (Type an exact answer)
Solve for the total capacitance of the circuit.

SEE MORE QUESTIONS

Recommended textbooks for you

University Physics Volume 2

Physics

ISBN:

9781938168161

Author:

OpenStax

Publisher:

OpenStax

University Physics Volume 2

Physics

ISBN:

9781938168161

Author:

OpenStax

Publisher:

OpenStax

SEE MORE TEXTBOOKS