1. A sinusoidal voltage vs(t) = 10sin(0.01t) V is applied to the RC circuit shown.vs(t)+dv(1)dtRwwwRC-сi(t)Knowing that R = 20 kQ and C = 20 µF, the voltage v(t) across the capacitor satisfies the first-order differential equation:+v(t) = 10 sin (0.01 t)+v(t)-(a) Determine the transient solution, Vtran(t).(b) Determine the steady-state solution, Vss(t).(c) If the initial voltage across the capacitor is v(0) = 0, determine the total solution v(t).

Answered: Image /qna-images/answer/b45b95b7-202d-45e1-97ff-d3f9ffa10ac9.jpg

Answered: 1. A sinusoidal voltage vs(t) =…

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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Similar questions

Given the following RC circuit: Assume that the switch has been open for a long period of time before it was closed at t=0. Find the expressions for the following: -The time constant when the switch is closed -The charge on the capacitor the second the switch was closed -The charge on the capacitor after a long time of the switch is closed.
A 400 Hz sinusoidal voltage with a maximum amplitude of 120 V at t = 0 is applied across the terminals of an inductor. The maximum amplitude of the steady-state current in the inductor is 20 A Part A What is the frequency of the inductor current? Express your answer with the appropriate units. f= Part B Submit Request Answer μÀ 0₁ = Value Submit If the phase angle of the voltage is zero, what is the phase angle of the current? Express your answer with the appropriate units. μA Value Units Request Answer ? Units ?
Please use Nodal Analysis to solve this problem please. For the following circuit assume it has been in this state for a very long time . Determine the energy stored in the inductor and the capacitor Wl and Wc
For an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 650 Hz, respectively. The resistance and inductance are fixed at R = 7500 and L = 0.4 H. Find the average power dissipated in the resistor for the following values for the capacitance: (a) C = 16µF and (b) C1.6μF. Hint a. The power dissipated in the resistor for C = 16μF is W. b. The power dissipated in the resistor for C = 1.6μF is W.
2. Explain which of the following instructions are invalid? State the invalidation reason and give the correct form for invalid instructions: a. MOV DL,AX b. MOV ES,CX c. MOV [BX],[2000] d. MOV BX,[AX] e. MOV CL,[BL+200] f. MOV 1234,DX g. MOV CH,[BX+SI+300] h. MOV DS,[SI+DI-5] i. MOV [4500],1234 j. MOV 200,[300]
Assume that the initial energy stored in the inductors below is zero. Find the equivalent inductance withrespect to the terminals a, b.
A series RLC circuit has 100 Q resistor, 0.418 H inductor and an unknown capacitor (C). A voltage v220-2Cosut is stolen o he could current i=1.8√2Coswt flows. Take w=314.15 rad/s 4 Calculate (i) Capacitance C. (ii) Voltage across the inductor.
The series RLC circuit of Figure Q3 contains a resistor of R=200, an inductor of L=10mH and a capacitor of C=600µF. The supply is 24V, 50HZ. R L Vs Figure Q3 Calculate: The reactance of the inductor (XL) and the reactance of the capacitor (Xc) The impedance of the inductor and the impedance of the capacitor The total circuit impedance (magnitude and angle) The total current in the circuit (magnitude and angle) What is the power factor?
The series RLC circuit of Figure Q3 contains a resistor of R=202, an inductor of L=10MH and a capacitor of C=600µF. The supply is 24V, 50HZ. R L C Figure Q3 Using your calculated current that flows through the circuit of Figure Q3, calculate the following: The voltage across the inductor (magnitude and angle) The voltage across the capacitor (magnitude and angle). Determine the resonant frequency. At resonance, what is the total impedance of the circuit? A three-phase balanced load of phase impedance with magnitude 200 Q and power factor 0.5 is connected in delta. This load is connected to a 420 V (line voltage), 50 Hz, 3-phase supply. Calculate: The magnitude of the phase voltage, The load phase angle The magnitudes and phase angles of each load current. (The angle of phase voltage 1 = 25°)
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