10¹15VSW1M15-Set Ai(t)2H15+.(t):SW2O20mF +8Va. Draw the circuit t<0 Find initial conditions vc (0) and (0),b. Draw the circuit in S domain then write the nodal equations to find the capacitor voltage V.(s) t>0No need to solve it in time domain.

For the given circuit the value of initial voltage needs to be calculated and the node equation for…

Answered: a. Draw the circuit t<0 Find initial…

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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5. If an electric circuit LRC in series, contains an inductor, a resistor and a capacitor, the differential equation for the instantaneous charge q(t) of the capacitor is given by: ******* Equation ****** Use the Laplace transform to determine q(t) if L =(1/4) Hertz. R= 3 ohms, C =(1/9) farads and E(t) = 120 volts, t>0, q(0)=0, i(0)=0. Could you please help me with this?
The response of a system, h(t) is given as in Figure 1 below where the amplitudeof this signal is 7. Then,this system is excited by an input of x(t) = (u(t) × (u(-t)+u(t))) /1. 1)Illustrate the input signal, x(t). 2)Calculate the convolution output of the system y(t) = x(t) ∗ h(t). Nextdetermine y(t) when t is 1 sec 2)Prove the solution in Q2 is comparable when solving in frequency domain(Laplace). Next, sketch the signal for convolution output.
The values of the components of an RLC series circuit is provided. Solve for the steady-state current of the circuit. Note: Use Kirchhoff's Rule and the application of the higher-order differential equation.R = 40 ohms, L = 0,4 H, C = 0.5mF, E(t) = 1640 sin(10t) volts
Problem 2 Networks. Suppose that the currents i1, i2 of an electrical network with an inductor, a resistor, and a capacitor were governed by the system of first-order differential equations:Li'1+ Ri2 = E(t), RCi'2 + i2-i1 = 0. Solve the system under the conditions E(t) = 60V L = 1H , R = 50Ohm C = 10-4F and the currents i1 and i2 are initially zero. Using Laplace transforms
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.
Consider the differential equation for the instantaneous charge q(t) on the capacitor in an LRC-series circuit is given by L(d2q/dt2)+R(dq/dt)+(1/C)q=E(t) Use the Laplace transform to find q(t) whenL= 1 h,R= 20 Ω,C= 0.005 f,E(t) = 150 V,t >0,q(0) = 0, andi(0) = 0. What is the current i(t)
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An electromotive force ?(?)={? volts,0≤?<10 volts,?≥1 is applied to an RC-series circuit in which the resistance is 10 ohms and the capacitance is 0.1 farad. If the initial charge ?(0)=0,(a) Specify the differential equation as an IVP for the RC-series circuit.(b) Write ?(?) in terms of unit step function.(c) Apply the second translation theorem of Laplace Transform to solve the IVP and find the charge ?(?) at any time t.
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)
A)Perform the N=5 point circular convolution of x and h using DFT. B)Perform the N=5 point circular convolution of x and h in time-domain.
Consider the circuit shown in Figure below: 10 FTQ 0,0 G Ej 5H Assuming that the value of vy(t) = 10u(t) V and at t = a current of (—1 4) flows through the inductor and (+5 V) voltage across the capacitor. Using Laplace transform method to find i, The voltage across the capacitor for all time ¢ > 0. ii. The current flows through the inductor for all time ¢t > 0.
The switch has been closed for a very long time. At t = 0, the switch is opened. Using the Laplace method and the series equivalent circuit for the inductor and the parallel equivalent circuit for the capacitor, find:a. expression for vC(t) for t>0b. vC(s) using partial fractions

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a. Draw the circuit t<0 Find initial conditions v. (0) and i(0), b. Draw the circuit in S domain then write the nodal equations to find the capacitor voltage V.(s) t>0 No need to solve it in time domain.