Exercise VIA Circuit has in series an EMF given by E(t) = 100 sin(200t) V, aresistor of 400, an inductor of 0.25H, and a capacitor of 4 ×10-4 farads. If the initial current is zero, and the initial charge on thecapacitor is 0.01 coulombs. Find the current at any time t > 0.Exercise VII5 Find the charge on the capacitor in an RLC series circuit where L= H,31 30 R =100, C= F, and E(t)300V. Assume the initial chargeon the capacitor is OC and the initial current is 9A. What happens tothe charge on the capacitor over time?=

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Answered: Exercise VI A Circuit has in series an…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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An electric circuit, consisting of a capacitor, resistor, andan electromotive force can be modeled by the differentialequationR dq/dt +1/C q = E(t),where R and C are constants (resistance and capacitance) andq = q(t) is the amount of charge on the capacitor at timet. For simplicity in the following analysis, let R = C = 1,forming the differential equation dq/dt + q = E(t). In Exercises 17–20, an electromotive force is given in piecewise form,a favorite among engineers. Assume that the initial charge onthe capacitor is zero [q(0) = 0].(i) Use a numerical solver to draw a graph of the charge onthe capacitor during the time interval [0, 4].(ii) Find an explicit solution and use the formula to determinethe charge on the capacitor at the end of the four-secondtime period. E(t)=5 if 0<t<2 E(t)=0 if t>=2
Please provide the complete solution. Topic: Application of DEA circuit has in series of electromotive force given by E(t) = 100 sin 60t V, a resistor of 2 Ω, an inductor of 0.1 H, and a capacitor of 1/260 farads. If the initial current and the initial charge on the capacitor are both zero coulombs, find the charge on the capacitor at any time t > 0.
Referring to the figure shown, if E=240V, Rs=30k-ohms, Rp=50k-ohms and C=40 micro-farad:(a) To what voltage will the capacitor be charge if the switch is closed for a comparatively long time?(b) Assuming an initial capacitor voltage as in (a) what will be the instantaneous potential ec 1 second after the switch is opened?(c) Assuming the switch to be opened at the instant the capacitor potential reaches the voltage determined in (b), what will be the value of ec 0.5 second after the switch is closed
Show that the resistance requiredto achieve a heart rate H, in beats per minute, is given by the equationR=−60HC ln(1−VmaxVs),where C is the capacitance, Vs. is the source voltage, and Vmax is thecapacitor voltage at which discharge occurs
the emf source, E=3.2 V, of the circuit shown in the figure has negligible internal resistance. the resistors have resistances R1=3 ohm and R2=4.2 ohm. the capacitor has a capacitance C= 3.1uF. A) determine the time constant t , in units of microseconds for charging the capacitor. B) what is the charge Q on the capacitor in units of microcoulomb?
An inductance of 1 H, a resistance of 8 Ω and capacitance of 0.04 F are connected in series with a variable voltage E = 50 sin 3t. Find the current and charge in the system, given the initial conditions q = 0 and l = 0 when t = 0, using method of solution of higher order linear ordinary differential equation.
1. First Order Circuits from the plot determine the ff: a. The output voltage at ? = 0, in Volts [V]b. The output voltage at steady state, ? → ∞, in Volts [V]c. The time it takes for the output voltage to reach 99% of its steady statevalue, in milliseconds [ms] 2. If the inductor is replaced with a capacitor, determine the capacitance such thatthe time for the output to reach steady state is unchanged, in microfarads [μF]. do refer to the plot and schematic diagram please
Find the equation for the current flowing through the capacitance c in the domain "s" in the circuit given above. Vc (0) = -3V, IL (0) = 6 Amps E = 35 voltsC = 2 FR1 = 3 ohmsR2 = 4 ohmsL = 2 Henry When you substitute "3" for s in the current equation for the "c" capacity, which option is given below.
As displayed in attachment figure and LC circuit can be modeled by the following system of differential equations as attachment. Where L = inductance (H), t = time (s), i = current (A), and C = capacitance (F). Assuming that a solution is of the form = Ij sin (wt), determine the eigenvalues and eigenvectors for this system using Faddeev-Leverrier Method and Power Method with L = 1 H and C = 0.25 C. Draw the network, illustrating how the currents oscillate in their primary nodes. Assume initial value for power method.
a) Determine the differentila equation relating e0 and ii(t) b) time constant c) free response d) sketch the response to reach a steady state if ii(t) = 2A while capacitor has V0 =0
(a) Determine the equilibrium charge on the capacitor in the circuit shown as a function of R. (b) Evaluate the charge when R = 10.0 Ω. (c) Can the charge on the capacitor be zero? If so, for what value of R? (d) What is the maximum possible magnitude of the charge on the capacitor? For what value of R is it achieved? (e) Is it experimentally meaningful to take R = ∞? Explain your answer. If so, what charge magnitude does it imply?
a. Find the mathematical expressions for the transient behavior of thevoltage vC and the current iC if the capacitor was initially unchargedand the switch is thrown into position 1 at t = 0 s.b. Find the mathematical expressions for the voltage vC and the current iCif the switch is moved to position 2 at t = 8τ.c. Find the mathematical expressions for the voltage vC and the current if theswitch is thrown into position 3 at t =12τ.d. Find the mathematical expressions for the voltage vC and the current if theswitch is thrown into position 1 at t =14τ.e. Find the mathematical expressions for the voltage vC and the current if theswitch is thrown into position 2 at t =17τ.f. Find the mathematical expressions for the voltage vC and the current if theswitch is thrown into position 3 at t =20τ.g. Plot the waveforms obtained in parts (a)–(f)Demonstrate all necessary steps, formulas and calculations properly.

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Exercise VI A Circuit has in series an EMF given by E(t) = 100 sin(200t)V, a resistor of 400, an inductor of 0.25H, and a capacitor of 4 x 10-4 farads. If the initial current is zero, and the initial charge on the capacitor is 0.01 coulombs. Find the current at any time t > 0.