1. Consider the following circuit, with parameters: Vo = 12V, R1 = 0.402, R2 = 1.20, L = 0.1H and C=0.1F.Vo(+C.R₁t=0R₂000iLDCa. Find the initial voltage across the capacitor and the initial current through the inductor.b. Determine the time-domain response of the voltage across the capacitor, after theswitch opens, at t =0; i.e. find vo(t) for t≥ 0.Determine the time-domain expression for the current through the inductor, i.e. findi₂ (t) for t ≥ 0.

Answered: Image /qna-images/answer/6b06d57b-0d8a-4d61-b861-de28a9695977.jpg

Answered: 1. Consider the following circuit, with…

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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The circuit is scaled so that the 100 Ω resistor is replaced by 500 Ω resistor and the 160 μH inductor is replaced by a 2mH inductor.1. What is the scaled value of the capacitor?2. Find the frequency for which the impedance Zab is purely resistivefor the scaled circuit.3. How is the frequency you found in part (b) related to the frequencyfor which the impedance Zab is purely resistive in the un-scaledcircuit?
An RLC circuit connected in series has a resistance of 5 ohms, an inductance of0.05 henry, a capacitor of 4 x 10-4farad, and an applied alternating emf of200cos100t volts. Find an expression for the current flowing through this circuit ifthe initial current and initial charge of the capacitor are both zero.
A series RC circuit with R = 40Ω and C = 0.1F is connected to a sinusoidal voltage v = 180sin(20t + β)V source at a time where β = 90°. The capacitor is initially uncharged. The s-domain equation for the current is given by the attached picture. Find the value of K1, K2, and K4.
The circuit below is in a permanent state with the key on. At t = 0, the key is open.a)Draw the equivalent circuit for t < 0 when the switch remains closed. In then determine the initial conditions on the inductor, i0 = i(0 - ), and on the capacitor, v0= v(0 - ).b)Draw an equivalent circuit for the frequency domain, valid for t ≥ 0. Indicate the values of all components in the circuit. Get the circuit voltage at frequency domain, that is, calculate V(s).c)Determine the damping factor and rate the circuit for this parameter.d)Calculate the voltage v(t) for t ≥ 0.
The resistance, inductance, and capacitance in a parallel RLC circuit are 1900 ohms, 240 mH, and 15 nF,respectively. a) Calculate the roots of the characteristic equation that describe the voltage response ofthe circuit. b) Will the response be over-, under-, or critically damped? c) What value of R will yield adamped frequency of 12 krad/s ? d) What are the roots of the characteristic equation for the value of Rfound in (c)? e) What value of R will result in a critically damped response?
A parallel RLC circuit containing a resistance of 1kΩ, an inductance of 142mH and a capacitor of 160uF are connected in series across a 240Vrms, 60Hz supply a. Calculate the impedance of the parallel RLC circuit (Z), and the current drawn from the supply (Is)
Make the equation s(s+1)(s+2)+K=0 in the form of 1+KF(s) and explain the drawing of root-locus curves. (Note: Indicate the splitting points, centers and angles of the asymptotes)
I'm working on a circuit design problem where I need to find the values for an RLC circuit that, when placed in parallel with a 100 Ohm resistor, results in an admittance of 28.627 /_ -31.900 mS at 100 Hz. I've successfully calculated the resistance (R = 33 Ohm) and inductance (L = 55 mH), which are correct, but am having trouble with the capacitance C. My attempts to calculate C using the capacitive reactance Xc consistently lead me to 0.02 mF, which isn't accepted as correct. The impedance I've calculated for the RLC network is Z_RLC = 33 + j34.9 Ohm. Could you help me verify the Xc calculation and find the correct value for C in mF? Thank you!
An LC circuit has an inductor with inductanceL. The current oscillates and has a maximum value of Imax. The voltage across the capacitor also oscillates and at timet= 0 has a maximum value of V max. Find an expression for the capacitanceCof the capacitor in terms of Imax, Vmax, and L. Square your final answer for C.
A series RLC circuit has an inductor that has a value 500 mH, the capacitor 25 µF, and the resistor has a value of 400 Ω. They are connected to an ac power supply functioning at frequency 60 Hz. The peak current is 450 mA a) Find Vmax b) Find the angle by which the current leads, or lags, the voltage. Using your result is it leading or lagging? c) How much power is the circuit dissipating on average?
Consider the RLC circuit above. Assume vs=0 V before t = 0, and then vs=2 V when t > 0. L = 100 mH, C = 6.8 nF. Assume R = 1 kΩ, find the final (steady-state) current through the inductance and voltage across the capacitance, respectively.
Please answer fast A circuit is operated at its resonant frequency, which is designed to be 240 Hz. The circuit contains a toroid that provides an inductance of 370 mH, and has a total resistive load of 1250 Ohms. Due to the passage of time, eventually the frequency decreases to 220 Hz. If when operating under design conditions it used an average power of 440 W, find: a) The capacitance of the circuit. b) The peak and rms current and voltage at which it operates under design conditions. c) The peak and rms current and voltage at which it operates under conditions after heavy use. d) The power factor in the condition after much use.

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