PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB
310 Practical MATLAB® Applications for Engineers 3.5 Application Problems P.3.1 Which of the following relations hold a. 3 ∠135° ...
Alternating Current Analysis 311 P.3.11 Let the impedance of a given circuit be given by Z = 7. 0 5 + j9.7 Ω, and the peak sinus ...
312 Practical MATLAB® Applications for Engineers P.3.14 Solve for the loop currents shown in the circuit diagram of Figure 3.90, ...
Alternating Current Analysis 313 Xc = −j 3 Ω XL = j 5 Ω R = 3 Ω 30 90° FIGURE 3.92 Network diagram of P.3.18. V 1 = 100 0° V + – ...
314 Practical MATLAB® Applications for Engineers P.3.20 Write a MATLAB program for each circuit shown in Figure 3.94 that return ...
Alternating Current Analysis 315 P.3.22 Verify that the resonant frequency for the circuit shown in Figure 3.96 is given by R ...
316 Practical MATLAB® Applications for Engineers P.3.24 Create a program that returns the current I (through the inductor) shown ...
Alternating Current Analysis 317 P.3.26. Write a program that returns the line currents and the voltage drop across each impedan ...
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319 4 Fourier and Laplace What we know is but a little thing; what we are ignorant of is immense. Pierre Simon de Laplace 4.1 In ...
320 Practical MATLAB® Applications for Engineers controls, heat and wave propagation, electronic power supplies, and signal gene ...
Fourier and Laplace 321 4.2 Objectives After completing this chapter, the reader should be able to Mathematically state the trig ...
322 Practical MATLAB® Applications for Engineers Revisit the process of partial fraction expansion when evaluating the ILT Under ...
Fourier and Laplace 323 need not be from 0 to T, or from 0 to 2 π, but may be from −T to 0, −T/2 to +T/2, − 2 π to 0, or −π to + ...
324 Practical MATLAB® Applications for Engineers The Fourier coeffi cients an, bn, and Fn represent the degree of similarity bet ...
Fourier and Laplace 325 R.4.16 For example, let us verify Parseval’s theorem by means of the function f(t) = 2 sin(100t), evalua ...
326 Practical MATLAB® Applications for Engineers Then its RMS value can be evaluated by F ac c cn RMS 0 2 1 2 2 22 2 22 2 ...
Fourier and Laplace 327 A one-sided spectrum consists of only the positive frequencies w ≥ 0, whereas the two-sided spectrum is ...
328 Practical MATLAB® Applications for Engineers b. If f(t) = −f(−t), indicating that f(t) is an odd function with respect to t, ...
Fourier and Laplace 329 c. If f(t) = − f(t ± T/ 2 ), a condition referred to as half wave or rotational symmetry (with respect t ...
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