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
- Need a solarrow_forwardDo not use chaarrow_forwardIn the following table, the value of 40 resistors are recorded in ohms. (a) Construct the frequency distribution table using number of class=5. (b) Plot the histogram of frequency table. 45 50 61 32 25 50 64 28 40 40 46 47 48 35 58 35 54 38 68 76 19 63 26 65 54 42 68 47 53 36 73 44 49 35 38 42 56 44 45 57arrow_forward
- Compute the Laplace transform of the following time domain function using only L.T. properties: f(t)=(t-3)eu(t − 2)arrow_forwardcircuit analysisuse source Transform and step by step in the most basic formarrow_forwardNot: I need also pictures cct diagram and result Question: I need a MATLAB/Simulink model for a Boost Converter used to charge a battery, powered by a PV solar panel. The model should include: 1. A PV solar panel as the input power source. 2. A Boost Converter circuit for voltage regulation. 3. A battery charging system. 4. Simulation results showing voltage, current, and efficiency of the system. Important: Please provide: 1. The Simulink file of the model. 2. Clear screenshots showing the circuit connections in MATLAB/Simulink. 3. Screenshots of the simulation results (voltage, current, efficiency, etc.).arrow_forward
- A Butterworth low-pass filter has the following specification: max = 0.5 dB, min =30dB p = 750rad/s and s = 1750rad/si) Determine the TF for Butterworth LP filterii) Q of the polesiii) Determine the half-power frequency 0iv) Determine the actual attenuation at the edge of the pass-band and the edge of the stop-band, (p) and (s).arrow_forwardFind the inverse of Laplace transform s-1 5+5 , Re[s]>-3 (s+1)(s-3) s+5 a) s²(s+3) b) c) (S-1)(s+1)2 d) s+5 , i) Re[s]> 3 ii) Re[s]-1 ii) Re[s] 1 (s-1)(s-2)(s-3)' , i) Re[s]> 3 ii) Re[s]<1 iii) Iarrow_forward1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [et + et cos(3t)]u(t) b)x(t) = e-alte-atu(t) + eatu(-t), consider a>0. c) x(t)=8(t) +8(t-1)+8(t−2) d) x(t) = u(-1)-u(1) e) x(t) = e-³t sin(2t)u(t)dr f)x(t) =[r³ +sin(2t)]u(t)dt g)x(t)=t2e2 cos(5t) u(t - 1)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- 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,