(a) An electrical network that consists of a resistor, inductor, and capacitor is shownin Fig. 4. x(t) is the input voltage, and y(t) is the output voltage, which is alsothe inductor voltage. Based on the figure,i)ii)iii)iv)v)(1) x(t)नलw1F+y(t)Fig. 4Determine the mathematical model relating the input voltage, x(t) andthe output voltage, y(t).Determine the zero-input response of the system assuming initialconditions of y(0) = 7 and y(0) = -6.Determine the impulse response of the system.Determine the zero-state response of the system if it is subjected to anexternal input of x(t) = u(t).Determine the total response of the system.

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Answered: (a) An electrical network that consists…

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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subject: discrete structures there may be several correct answers In which of the graphs on Fig.5, Fig.6, Fig.7 there exists Hamilton circuit?
Answer all the questions with the most detail as possible! Thank you
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1-A Pacemaker is a device that is implanted in the body and it helps to control the heartbeat by preventing the heart from beating too slowly. A pacemaker that is connected to a battery with a voltage of 9.0 V and has a capacitor with a capacitance of 110 µF is designed to deliver 5 pulses every 4 seconds. The pacemaker will deliver a pulse to the patients body every time its' capacitor is charged to 0.25 V. What resistance should the pacemaker have to achieve the desired pulse delivery (5 pulse every 4 second). 2-For the circuit below find the current in each resistor using the kirchoff method ww 3.9 1 12 V 1.20 9.8 Ω A ww 6.70 9.0 V B
assume R=1 Ohm
4. The capacitance of C1 is 2F, the capacitance of C2 is 2F, the capacitance of C3 is 1F, and the resistance of R1 is 50. The battery voltage is 5V. 1) Calculate the equivalent capacitance R1 50 C3 1000 mF 2) How long does it take for the two capacitors to be fully charged? 3) Determine the voltage of each capacitor and quantity of charge stored on each capacitor when they are fully charged.
switch in position 1, the circuit will charge the inductor determine the thevenin equivalent circuit, the time constant (L/Rth) for the charge phase, and the v(t) and i(t) equations
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?
For the network of Fig a. Find the mathematical expression for the voltage across the capacitor after the switch is thrown into position 1. b. Repeat part (a) for the current ic. c. Find the mathematical expressions for the voltage Ve and current ic if the switch is thrown into position 2 at a time equal to five time constants of the charging E' 80 V c10 pF vc R 390 klN R1 100 k circuit. d. Plot the waveforms of ve and ic for a period of time extending from t = 0 to t = 30 µs.
Problem 2: Given this network of capacitors: c2 4 uF 1 uF C3 3 uF C4 2 uf C5 2 uF Assuming the dielectric of each capacitor is air and the network is connected to Vab 30V supply, calculate the following: a. The equivalent capacitance between a and b. b. The charge on each capacitor. C. The potential difference on each capacitor d. Energy stored on each capacitor Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: a. The potential at A; b. The electric potential energy at B; c. The work done in moving the test charge; d. The rate of change of the potential with respect to length or displacement in the conductor
A 42 µF capacitor is in parallel with a 230 Ko resistor and a 300 V power supply. The switch is closed and opened. If the digital multi-meter (DMM) has an internal resistance that is equal to resistor resistance, How long does it take for the voltage shown by the DMM to drop to 100 V? M
C2 C1 4 uF 1 uF C3 3 uF C4 2 uf C5 2 uF Assuming the dielectric of each capacitor is air and the network is connected to Vab = 30V supply, calculate the following: a. The equivalent capacitance between a and b. b. The charge on each capacitor. c. The potential difference on each capacitor d. Energy stored on each capacitor

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