Prob, 3 Analyze the circuits at the steadystates:R.(a)VsR2Consider both cases: Ci) the switch is inposition 1 for a long time, and Gù in pasition2 for a long tine. Fund all the Voltages +currents with the circuit elements.2.2KSLAt t=o(b)Initially, at t=o0,2 uR(t4 ןU40V0.8MF"what are u, + Vz after the switchis clased for a Long time?802(c)what are the voltagesand eurrentsVL2H 8after the switck isclased for a long time?V3105212y

(a) In the following solution, the source voltage is assumed to be DC voltage. (i) In position 1,…

Answered: Prob, 3 Analyze the circuits at the…

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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A current source, IS =11.9cos(2800t) A, a resistor R=289Ω, and an inductor, L=0.44 H are all in parallel. Assume steady-state conditions exist. At t=2.7 ms, find the power being absorbed by the (a) resistor PR(b) inductor PL
Set up a system of first-order differential equations for theindicated currents I1 and I2 in the electrical circuit ofFig. 4.1.14, which shows an inductor, two resistors, anda generator which supplies an alternating voltage drop ofE(t) = 100 sin 60t V in the direction of the current I1. except with the generator replacedwith a battery supplying an emf of 100 V and with the inductor replaced with a 1-millifarad (mF) capacitor
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.
The circuit was in DC steady state for t < 0. At t = 0, the switch is opened instantly. The remaining circuit quantities may change instantaneously as required by Kirchhoff's rules. Calculate I1 ,I2 and I3 in amps immediately after the switch ( t = 0 +), in that order. (All currents in this and the following two should be positive.) Finally, calculate Q in uC.
Use the node-voltage method to find the steady-state expression for vo(t) in the circuit in (Figure 1) ifvg1=55cos(5000t+53.13∘)Vcos(5000t+53.13∘)V,vg2= 11sin(5000t)Vsin(5000t)V.Write the steady-state expression for vo(t) as vo=Vocos(ωt+ϕ), where −180∘<ϕ≤180∘
A)Calculate V1 and v2 for t > 0, if the circuit is in steady stateat t = 0-. B)Calculate i for t > 0, if ig = 10 A and the circuit is in steady statepermanent at t = 0-.
Vbatt=25 VC1=90 ?CC2=75 ?CC3=60 ?CR1=160 ΩR2=120 Ωt2=21.6 msect3=27 msecConsider the circuit shown below which shows a battery connected to some resistors and capacitors along with some switches which will be toggled opened or closed at different times. The components are listed above. The capacitances are in microFarads (?F), the resitances are in Ohms (Ω), and the times are in milliseconds (msec). A stopwatch is started at time t1=0 ms. At that time, switch S1 is closed and all other switches are open and the capacitor is allowed to charge up.(a). (i)What is the charge (in uC) on C1 at the time the stopwatch reads t2=21.6 ms?a)3690 b)1520 c)5710 d)2630 e)683 f)1750 (a).(ii)What is the current (in mA) through R1 at t2=21.6 ms?34.9 30.4 114 13.6 73.6 52.4 (b)(i)What is the voltage (in V) across R1 at t2=21.6 ms?8.37 5.58 2.18 11.8 18.2 4.85(ii). What is the voltage (in V) across C1 at t2=21.6 ms?63.2 29.1 40.9 7.57 19.4 16.9(c). (i) What is the energy (in mJ) in C1 at t2=21.6 ms?6.63…
A resistance of 10 ohm, an inductor of 300 mH and a capacitor of 50 uF are connected in series. If the AC voltage supplied to the connection is given by v = 300 sin (2 π 50 t + 30), write the equation for the current.
For the circuit shown below, determine: a)The stress expression, v(t).b)The currents in the resistor, iR(t), and in the capacitor, iC(t).c)Repeat items a and b, if v(0) = – 5 V.
Show that the system which is often referred to as an "incrementally linear" system below is NOT a linear system. You can use any linear relation between the input and output of the linear system block (yellow block).
a) What is the coupling constant between the two coils?b) Using the dot notation, determine if the induced voltages are additive or subtractive?c) Write the expressions for V1(t) and V2(t).d) Using KVL, determine the differential equation needed to solve for I2(t).e) Solve the differential equation in part d to get I2(t). Assume no energy stored in inductors at t=0.f) Use I1(t) and I2(t) to determine V1(t) and V2(t).
Write the differential equation for t > 0 for iC in the given figure. Assume VS = 9 V, RS = 4 kohm, R1 = 11 kohm, and R2 = R3 = 20 kohm.

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