
Concept explainers
Find current ix in the ideal transformer circuit shown in Fig. 13.114.

Calculate the current
Answer to Problem 49P
The value of current
Explanation of Solution
Given data:
Refer to Figure 13.114 in the textbook for the ideal transformer circuit.
From Figure 13.114, the value of
Calculation:
Consider the expression for the capacitive reactance.
Substitute
Modify the Figure 13.114 by transforming the time-domain circuit with coupled-coils to frequency domain of the circuit with coupled-coil. The frequency domain equivalent circuit is shown in Figure 1.
Apply Kirchhoff's current law at node 1 in Figure 1.
Multiply by 2 on both sides of the Equation.
Apply Kirchhoff's current law at node 2 in Figure 1.
Multiply by 6 on both sides of the Equation.
Consider the expression for the turns ratio or transformation ratio.
Substitute
Consider the expression for the turns ratio or transformation ratio.
Substitute
Write equations (1), (2), (3), and (4) in matrix form as follows.
Write the MATLAB code to solve the equation (5).
A = [2 0 (1+j*0.2) (j*(-0.2)); 0 6 (j*0.6) (-1-j*0.6); 0 0 3 1; 1 3 0 0];
B = [12;0;0;0];
C = inv(A)*B
The output in command window:
C =
4.5000 + 0.0000i
-1.5000 + 0.0000i
1.8293 - 1.4634i
-5.4878 + 4.3902i
From the MATLAB output, the values of
Write the expression for the current
Substitute
Substitute
Convert the polar form to time-domain form.
Conclusion:
Thus, the value of current
Want to see more full solutions like this?
Chapter 13 Solutions
Fundamentals of Electric Circuits
Additional Engineering Textbook Solutions
Modern Database Management
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Database Concepts (8th Edition)
Mechanics of Materials (10th Edition)
Vector Mechanics for Engineers: Statics
Electric Circuits. (11th Edition)
- Q5B. Find the type of the controller in the following figures and use real values to find the transfer function of three of them[ Hint Pi,Pd and Lead,lag are found so put the controller with its corresponding compensator]. R₁ R₂ Rz HE C2 RA HE R₁ R2 RA とarrow_forwardQ1// Sketch the root locus for the unity feedback system. Where G(s)=)= K S3+252 +25 and find the following a. Sketch the asymptotes b. The exact point and gain where the locus crosses the jo-axis c. The breakaway point on the real axis d. The range of K within which the system is stable e. Angles of departure and arrival.arrow_forwardDetermine X(w) for the given function shown in Figure (1) by applying the differentiation property of the Fourier Transform. Figure (1) -1 x(t)arrow_forward
- Can you solve a question with a drawing Determine X(w) for the given function shown in Figure (1) by applying the differentiation property of the Fourier Transform. Figure (1) -1 x(t)arrow_forwardAn inductor has a current flow of 3 A when connected to a 240 V, 60 Hz power line. The inductor has a wire resistance of 15 Find the Q of the inductorarrow_forwardصورة من s94850121arrow_forward
- The joint density function of two continuous random variables X and Yis: p(x, y) = {Keós (x + y) Find (i) the constant K 0 2 0arrow_forwardShow all the steps please, Solve for the current through R2 if E2 is replaced by a current source of 10mA using superposition theorem. R5=470Ω R2=1000Ω R6=820Ωarrow_forwardPlease solve it by explaining the steps. I am trying to prepare for my exam tomorrow, so any tips and tricks to solve similar problems are highly appreciated. Plus, this is a past exam I am using to prepare.arrow_forwardPlease solve it by explaining the steps. I am trying to prepare for my exam today, so any tips and tricks to solve similar problems are highly appreciated. Plus, this is a past exam I am using to prepare.arrow_forwardIf C is the circle |z|=4 evaluate f f (z)dz for each of the following functions using residue. 1 f(z) = z(z²+6z+4)arrow_forwardIf C is the circle |z|=4 evaluate ff(z)dz for each of the following functions using residue. f(z) z(z²+6z+4)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,





