The source voltage is Vs = 48.59 sin 90° in the following circuit having R1=48.59 k2 series resistance. The switch remains open for a long time. Then att=0, the switch is closed, and it remains closed forever. Determine the outputvoltage (in Volts) across C1=48.59 µF, during steady-state conditions.R1C-+C13 uFVs (+L-1H10 ko10 kteeet

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Answered: The source voltage is Vs = 48.59 sin…

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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Consider the circuit shown in the figure, with ε=36.0V,R0=50.0Ω,R=150Ω andL=4.00H. (a) Switch S1 is closed. Just after S1 is closed, what are the current i0 through R0 andthe potential differences VAC and VCB? (b) After S1 has been closed a long time so that the current has reached its final, steadyvalue, what are i0 , VAC and VCB? (c) Find the expressions for i0 , VAC and VCB as functions of time since S1 was closed.Do your results agree with what you get in (a) and (b) ? Graph i0 , VAC and VCB as afunction of time.
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.
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-.
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.
The response of an electrical circuit is modeled by the function v(t) =5-3e ^ -t/10 , where “V” represents the output voltage in Volts and “t” is the time is milliseconds after the circuit is turned on. a) Determine the output voltage at the instant the circuit is turned on ( t = 0). b) Determine the time at which the output voltage will reach 4 Volts. c) Sketch the graph of the voltage function for t>0. Show the asymptote and the vertical intercept. d) determine an equation of a rational function that has the following characteristics. a horizontal asymptote defined by y = 1 a vertical asymptote defined by x = − 2 a zero x = 4
By Differential equations An electromotive force of 100 volts is applied to an RC series circuit, in which the resistance is 50 ohms and the capacitance is 0.002 farads. Determine the load q(t) of the capacitor, if q(0) = 5C. Find the current i(t). Pls dont skip any steps even on the integrals
The circuit shown in Figure-2 is at steady state before the switch closes at time t = 0. The input to the circuit is the voltage of the voltage source, 12 V. The output of this circuit is the voltage across the capacitor, v(t). -Determine v(t) for t>0.
In Figure, suppose the switch has been closed for a time interval sufficiently long (steady state) for the capacitor to become fully charged. R 1 = 9 kΩ, R 2 = 12 kΩ, R 3 = 2 kΩ, C = 14 × 10 −6 F, and an ideal battery has emf ε = 12 V. The switch is now opened at t = 0. Find the current in R 2 at time t = 0.09 s. (Your result must be in mA's and include 3 digit after the decimal point. Maximum of 5% of error is accepted in your answer.)
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).
The starting voltage of the C = 0.05 microfarad capacitor given in the figure is V0 = 30 Volts and the starting current of the coil is I0 = 0 amperes. in this case the voltage response of the circuit; For t> = 0, since V (t) = - 10 e-5000 + 40e-20000 volts, iL (t) current iL (t) current t = 0.0003 mA per second.
The circuit shown in Figure-2 is at steady state before the switch closes at time t = 0. The input to the circuit is the voltage of the voltage source, 12 V. The output of this circuit is the voltage across the capacitor, v(t). -Use Matlab Simscape Electrical to build and plot the output, v(t), as a function of t (by using scope). Use the plot to obtain an analytic representation of v(t) for t > 0. Hint: We expect v(t) = A + Be–t/τ for t > 0, where A, B, and τ are constants to be determined. Modify the circuit given in this example (build figure-2) https://www.mathworks.com/help/physmod/simscape/ug/operating-point-rlc-transient-response.html You will obtain a graph as figure 2-b and by using graph and substituting three ‘t’ values to v(t) then you can find A, B and τ.
Consider the circuit shown in the figure, with ε=36.0V, R0=50.0Ω, R=150Ω and L=4.00H. (a) Switch S1 is closed. Just after S1 is closed, what are the current i0 through R0 andthe potential differences VAC and VCB? (b) After S1 has been closed a long time so that the current has reached its final, steady value, what are i0 , VAC and VCB? (c) Find the expressions for i0, VAC and VCB as functions of time since S1 was closed. Do your results agree with what you get in (a) and (b)? Graph i0, VAC and VCB as afunction of time.

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