Problem1(a) For the signal g(t) and x(t) shown in Fig.1, find the component of the form x(t) containedin g(t). In other words, find the optimum value of c in the approximation, g(t) z cx(t)so that the error signal ( e(t)=g(t)-cx(t) ) energy is minimum. What is the error signalenergy?(b) Repeat problem1 if x(t) is a sinusoid pulse as shown in Fig.2.Figure1x(t)sin 2ntFigure2

Given signals, We know Energy in any signal xtE=∫0Tx2tdt∴ Energy of signal xtEx=∫01sin2 2πtdt…

Answered: energy? (b) Repeat problem1 if x(t) is…

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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Q1. Three inductances are connected as shown in Fig. What is the equivalent inductance? 0.1 H 0.3 H 0.5 H -voo ↑i(t) A. 0.9 H B. 0.7 H C. 0.6 H D. 0.5 H v (1)
In the circuit shown, the coil has inductance and resistance. When X is joined to Y, the time constant is I during growth of current. When the steady state is reached, rate of production of heat in the coil is "P" joule/sec. X is now joined to Z, and after long time of joining X to Z- (A) the total heat produced in the coil is Pt (B) the total heat produced in the coil is Pt (C) the total heat produced in the coil is 2Pt (D) the data given is not sufficient to reach a conclusion
Consider the circuit in Fig. Under dc conditions, find: the energy stored in the inductor. 22 ww 52 12 v (+ 3 H + 2F A. EL = 7J B. EL = 8J C. EL = 9J D. EL = 6J %3D ww
The switch in the picture below has been open for a long time. It is then closed at t=0 s. A) Write the mathematical expression for the current iL and vL after the switch is closed. B) Sketch the waveform of iL and vL from the initial value until the circuit reaches steady state. Indicate on the graph the values of VL and iL for 1T and 5T in each step.
Two waveforms, v1(t) and v2(t), have identical amplitudes and oscillate at the same frequency, but v2(t) lags v1(t) by a phase angle of 60 degrees.If v1(t) =4cos(2*pi(10^3)t+30degrees),write the expression appropriate for v2(t) and plot both waveforms over the time span from -1 ms to +1 ms.Thank you!! Please answer in typing format please ASAP for the like
C C a R The switch is placed at position a. The capacitor is being charged. The switch is placed at position b. The capacitor is being discharged. (1) Charging the capacitor: What is the equation for the charge q (t) of the capacitor as it is being charged in the RC circuit? Give your answer in terms of R, C, ɛ, and t? What is the equation for the current I (t) as a function of time when the capacitor being charged? Give your answer in terms of R, C, ɛ, and t? (2) Discharging the capacitor: What is the equation for the charge q (t) of the capacitor as it is being discharged in RC circuit? Give your answer in terms of R, C, ɛ, and t? What is the equation for the current I (t) as a function of time when the capacitor being discharged? Give your answer in terms of R, C, ɛ, and t? (3) What is the equation for the time constant for charging and discharging the capacitor?
An industrial coil is modeled as a series combination of an inductance L and resistance R, as shown in the figure below. Since an ac voltmeter measures only the magnitude of a sinusoid, the following measurements are taken at 60 Hz when the circuit operates in the steady state: Using the instruction provided, find L (in millihenries) when E = 166 V, V1 = 80 V, VO = 101 V. Round off to 5 decimal places if applicable.
Use the following values: A=7 B=10 Write the final answer to at least 5 significant figures
%ov lI. 2_526511681092295... UNIVERSITY OF SAMARRA COLLEGE OF ENGINEERING ELECTROMECHANICAL ENGINEERING DEPARTMENT NOTE: ANSWER ALL QUESTIONS Q1) In figure below, the switch in the circuit has been in position (1) for a long time. Att= 0, the switch moves to position (2). Find: a) v (t) b) i, (t) for 120. Q2) The uncharged capacitor in the circuit shown in figure is initially switched to terminal (1). Att=0, the switch is moved to position (2), where it remained for (15 ms). After that, the switch is moved to position (3) for (5 ms). Finally, the switech is moved to position (4) for indefinitely. a) Derive the numerical expression for the voltage across the capacitor and the inductor. b) Plot the capacitor voltage and inductor voltage versus time. rookn ='vit) Q3) For the circuit shown in figure below, at V(0) = lv and i, (0) = 10 mA a) Find the initial value of currents in each branch. b) Find the initial value of e) Find the numerical expression of vit). d) Druw v(1). e) Find ig(t),…
Which of the following is referred as steady state response of a system with sinusoidal input? a-Steady state error b-Time response c-Frequency response d-Stability
(a) A circuit, as shown in Fig. Q1, is having its switch closed for a long time. Analyse the circuit to determine the voltage across the capacitor, and current through the coil before the opening of the switch. (b) After the opening of the switch at t-0, we have two separate circuits, the RL circuit to the right of the switch with a natural response, and an RC circuit to the left of the switch with a step response. i. Analyse the circuit to determine the voltage ve (t) for t> 0 and ve at t-15ms after the opening of the switch. ii. Analyse the circuit to determine the current iL(t) for t>0 and iL at t=15ms after the opening of the switch. t=0 50 mH 310 k2 30V $10 k2 ξ10 ΚΩ + 0.5 µFVc Fig. Q1
I just need help in part a and b

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energy? (b) Repeat problem1 if x(t) is a sinusoid pulse as shown in Fig.2.