(a) An electrical network that consists of a resistor, inductor, and capacitor is shown in Fig. 4. x(t) is the input voltage, and y(t) is the output voltage, which is also the inductor voltage. Based on the figure, i) ii) iii) ↑) x(t) x(t) ẩn 13 1F + y(t) Fig. 4 Determine the mathematical model relating the input voltage, x(t) and the output voltage, y(t). Determine the zero-input response of the system assuming initial conditions 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 an

(a) An electrical network that consists of a resistor, inductor, and capacitor is shown in Fig. 4. x(t) is the input voltage, and y(t) is the output voltage, which is also the inductor voltage. Based on the figure, i) ii) iii) ↑) x(t) x(t) ẩn 13 1F + y(t) Fig. 4 Determine the mathematical model relating the input voltage, x(t) and the output voltage, y(t). Determine the zero-input response of the system assuming initial conditions 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 an

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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C1 C2 СЗ hree capacitors C=5 µF, C2=8 µF and C3=10 µF are connected as shown in Fig. Only capacitor C3 has initial charge of 80 µC. Now, both switches re closed at the same time. What is the final charges stored in each capacitor? our answer: 32 5 A) Q1 =- 320 1040 117HC, Q2 = 117HC, Q3 = 117 30 320 30 B) Q1 = uC, Q2 = µc, Q3 = uc 180 o C) Q1=- 180 180 7HC, Q = 7 HC, Q3 =- 17 %3D 320 320 320 D) Q1 =7 HC, Q2 = 37 HC, Q3 = 37 H 320 320 1040 E) Q. = uc, Q2 = uc, Qg = 17
The electrodynamic instrument can be used as a voltmeter by connecting a large inductive with resistance (R) of low temperature coefficient in series with the instrument coil True False PMMC Instruments are used to .measure dc current only True O False
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
Two capacitors, C1 = 25.0 μF and C2 = 5.00 μF, are connected in parallel and charged with a 100-V power supply. (a) Draw a circuit diagram and calculate the total energy stored in the two capacitors. (b) What If? What potential difference would be required across the same two capacitors connected in series in order that the combination stores the same amount of energy as in (a)? Draw a circuit diagram of this circuit.
When the switch is closed in this circuit, a battery of value 10 V begins charging a capacitor of value 10 μF, through a resistor of value 20 kn. C R At a certain instant of time, the current charging the capacitor has the value i = 0.2 mA. (a) What magnitude of charge is stored on each of this capacitor's plates at that instant of time? (Include appropriate units.) (b) What magnitude of charge will be stored on each of this capacitor's plates a very long time after the switch is closed? Submit Answer
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.
b) A 200 µF capacitor is charged to a voltage of 200 V and the power supply is the disconnected from the circuit. A 2 k resistor is then connected to the fully charged capacitor. Calculate: i) the charge stored in the capacitor when it is fully charged. ii) the value of the time constant for the circuit. iii) the current flowing through the circuit 4 seconds after the resistor is connected to the capacitor.
Homework-2 1- In the figure below, the battery has a potential difference of 10.0 V and the five capacitors each have a capacitance of 10.0F F. What is the charge on (a) capacitor1 and (b) capacitor2? I. C3 C4 10 V Cs 2-A parallel-plate air-filled capacitor has capacitance of 40 pF. (a) If each of its plates has an area of 0.35 m", what is the separation? (b) If the region between the plates is now filled with material having K = 5.6, what is the capacitance? 3- Two parallel plates of area 100 cm? are given charges of equal magnitudes 8.9 x 107 C but opposite signs. The electric field within the dielectric material filling the space between the plates is 1.4 x 10 V/m. (a) Calculate the dielectric constant of the material. (b) Determine the magnitude of the charge induced on each dielectric surface 4- For the circuit in the figure, R1= 10, R2= 6 Q, and R3= 12 Q. Determine, (a) The Current 13, (b) The power for the source, (c) the voltage V1. R, V = 12 V . R, R3
23. Given a set of capacitors: 7nF, 6nF, 5nF, 4µF, 3pF and 10µF, solve the following problems: a. Solve the total capacitance for a parallel circuit and illustrate the circuit. b. If the parallel circuit is connected to a 60V battery, find the total charge. c. Given the same voltage, solve for the energy.
a) State the formula that defines electrical Capacity. Two capacitors A and B having capacitances of 20 µF and 12 uF respectively, are each connected separately to a 30 volt battery, and then disconnected. i) Calculate the charge stored on A. 20 µF -30 V ii) Calculate the charge stored on B. Direction Of Electron iii) What is the total capacity when two capacitors of 20 uF and a 12µF are connected in parallel? flow + 30 V 12 µF c) The two charged capacitors are then connected in parallel so that the negative terminal of A is connected to the positive terminal of B, as shown by dotted lines in the diagram. Electrons flow in the direction shown on the diagram, until the voltages of the two capacitors are equal. Find the value of this final voltage. (Hint: Positive and negative charges will recombine and reduce the total charge stored)
20) For the circuit shown in the figure, V=40 V, C= 80 µF, R= 0.10 M2, and the battery is ideal. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time /=0.00 s. What is the potential difference across the resistor 20 s after closing the switch? www R A) 3.3 V B) 3.9 V C) 5.9 V D) 4.6 V E) 5.3 V
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