
Referring to the circuit depicted in Fig. 3.45, count the number of (a) nodes;
(b) elements; (c) branches.
FIGURE 3.45
(a)

Find the number of nodes in the circuit.
Answer to Problem 1E
Number of nodes in the circuit is
Explanation of Solution
The circuit diagram is redrawn as shown in Figure 1.
Refer to the redrawn Figure 1.
A point where two or more branches have common connection is known as node.
In Figure 1 two branches are connected at point
Conclusion:
Thus, the number of nodes in the circuit is
(b)

Find the number of elements in the circuit.
Answer to Problem 1E
Number of elements in the circuit is
Explanation of Solution
Refer to the redrawn Figure 1.
Each component (either passive or active device) present in the electrical circuit is an element.
There are
Conclusion:
Thus, the number of elements in the circuit is
(c)

Find the number of branches in the circuit.
Answer to Problem 1E
Number of branches in the circuit is
Explanation of Solution
Refer to the redrawn Figure 1.
Each electrical element or device present in the circuit is known as branch.
There are
Conclusion:
Thus, the number of branches in the circuit is
Want to see more full solutions like this?
Chapter 3 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
- 2. Consider following feedback system. r(t) e(t) y(t) K G(s) 1 where G(S) = s²+as+b In above, K, a and b are constants. Select the values of K, a and b in a way so that (i) (ii) (iii) the closed loop system is stable, steady-state error of the closed-loop system for step input is 0.2, the closed-loop response has 20% overshoot and 2 seconds as settling time.arrow_forward4. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). But write the answers briefly using your own words with no more than two sentences, and make sure you check whether ChatGPT is giving you the appropriate answers in the context of class. a) What is the advantage of the PI controller over the proportional controller? b) What is the advantage of the PD controller over a proportional controller? c) In the presence of noise, what problem do we face implementing the derivate part of the PID (or PD) controller? To address this, what do we usually use? d) What are the forms of lead compensator and lag compensator? How do these two types of compensators differ?arrow_forward3. Consider the following closed-loop system as shown in the figure. 16 Ge(s) s(s + 4) Suppose Ge(s) is a PID controller with Kp = 1, KD = 2 and K₁ = 3. a) Find the controller transfer function G₁(s). b) Find the open-loop transfer function. c) Find the closed-loop transfer function.arrow_forward
- Exercise 3-12: Find the Thévenin equivalent of the circuit to the left of terminals (a, b) in Fig. E3.12, and then determine the current I. 502 5 Ω 0.6 Ω a 3Ω ΣΙΩ b 20 V 1 + 2027 15A Figure E3.12arrow_forwardsolve and show workarrow_forwardDon't use ai to answer I will report you answerarrow_forward
- values. 4. Discussion: DEPA الأمهريائية RING Compare between theoretic bination effect of Kp and KI at first order and second order systems regarding steady-state errors and transient responses with the practical. In Experiment PI Controllerarrow_forwardⓇ 1. Discuss the relationship between DMA-out and A-out signals. 2. Explain the results of steps 3 and 4 in Experiment 16-2. Unit 16 CVSD System Table 16-2 CVSD demodulator (CLK out - 90KHz) A-in Input Signal DMD-out Waveform & Frequency DMA-out Waveform & Frequency TKHz 1Vpp Sinewave 3KHz 1Vpp Sinewave 200Hz 1Vpp Sinewavearrow_forward3. Describe the function of the lowpass filter (LPF) used in CVSD system.arrow_forward
- Don't use ai to answer I will report you answerarrow_forwardRL +Vcc a VCE 2. a) For the direct coupled class A amplifier shown, derive the expression for efficiency in terms of maximum and minimum values of currents and voltages. b) Determine the maximum efficiency of this circuit. c) Derive the expression for maximum power dissipation. www 9 www RB in VBEarrow_forwardDon't use ai to answer I will report you answerarrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,





