Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. L = 1 h, R = 100 Ω, C = 0.0004 f, E(t) = 30 V, q(0) = 0 C, i(0) = 5 A q(t)=0.012-0.012e^{-50t}+4.4te^{-50t} i(t)=0.6e^{-50t}+4.4e^{-50t}-220te^{-50t} Find the maximum charge on the capacitor. (Round your answer to four decimal places.)

Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. L = 1 h, R = 100 Ω, C = 0.0004 f, E(t) = 30 V, q(0) = 0 C, i(0) = 5 A q(t)=0.012-0.012e^{-50t}+4.4te^{-50t} i(t)=0.6e^{-50t}+4.4e^{-50t}-220te^{-50t} Find the maximum charge on the capacitor. (Round your answer to four decimal places.)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 80AP: In an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a...

See similar textbooks

Similar questions

Consider the RLC circuit shown below, where the initial current flowing through the circuit at time t=0 is I_0 = 5, and the initial charge on the capacitor at time t=0 is Q_0 = 2. The components have values of R = 100 ohms, L = 5H, and C = 1/450,500 F. Write a differential equation for Q(t), the charge across the capacitor, assuming the voltage source V(t)=0.
A sinusoidally varying voltage is represented by V(t) = (62.5 V)sin(116 x 3.14t) What are its frequency and peak voltage?
In an oscillating series RLC circuit, find the time required for the maximum energy present in the capacitor during an oscillation to fall to half its initial value.Assume q = Q at t = 0.
Consider an R-L series circuit connected to constant voltage. Once the switch is closed across the resistor is a. zero b. greater than the battery's terminal voltage c. less than the battery's terminal voltage, but not zero d. equal to the battery's terminal voltage
A 200 Ω resistor is connected in series with a 4.00 μF capacitor and an ac source. The voltage across the resistor is given by vR = (5.00 V) cos [(800 rad/s) t]. What is the reactive capacitance and the instantaneous voltage across the capacitor? A. 7.90 x 10^-5 F B. 7.50 x 10^-4 F C. 3.95 x 10^-3 F D. 7.90 x 10^-3 F Pls provide a correct solution, i'll upvote
In an RLC circuit, L=0.1 H, R=0.6; C=0.4F; and E(t)=60 V. Find the charge at time t. Assume the initial charge on the capaciter is 0C and the initial current is 7.5.
A 200 Ω resistor is connected in series with a 4.00 μF capacitor and an ac source. The voltage across the resistor is given by VR = (5.00 V) cos [(800 rad/s) t].What is the reactive capacitance and the instantaneous voltage across the capacitor? A. 7.90 x 10-5 FB. 7.50 x 10-4 FC. 3.95 x 10-3 FD. 7.90 x 10-3 F
When an AC voltage source, with a maximum voltage of 200 V, is connected across a 50 Ω resistor, the power dissipated in the resistor is... a. 200 W b. 400 W c. 566 W d. 800 W
A resistor dissipates 2.00 W when the rms voltage of the emf is 10.0 V. At what rms voltage will the resistor dissipate 10.0 W?
When an AC source is connected across a 14.0 Ω resistor, the output voltage is given by Δv = (220 V)sin(70?t). Determine the following quantities. (a) maximum voltage V(b) rms voltage V(c) rms current A(d) peak current A(e) Find the current when t = 0.0045 s.
You connect a 250-Ω resistor, a 1.20-mH inductor, and a 1.80-μF capacitor in series across a 60.0-Hz, 120-V (peak) source. When you connect a voltmeter across the resistor in this circuit, the meter reads approximately Group of answer choices 120 V 25.7 mV 14.2 V 84.9 V 83.6 V
In an RLC circuit assume that R =5.00 , L =60.0 mH, fd = 60.0 Hz, and m = 30.0 V. For what valuesof the capacitance would the average rate at which energy isdissipated in the resistance be (a) a maximum and (b) a minimum?What are (c) the maximum dissipation rate and the corresponding(d) phase angle and (e) power factor? What are (f) the minimum dissipation rate and the corresponding (g) phase angle and (h) power factor?