- 16.16.1: For each of the periodic functions in Fig. P16.1, specify a) in rad...
- 16.16.2: Find the Fourier series expressions for the periodic voltage functi...
- 16.16.3: Derive the Fourier series for the periodic voltage shown in Fig. P1...
- 16.16.4: Derive the expressions for , , and for the periodic voltage shown i...
- 16.16.5: a) Verify Eqs. 16.6 and 16.7. b) Verify Eq. 16.8. Hint: Use the tri...
- 16.16.6: Derive Eq. 16.5
- 16.16.7: Derive the expressions for the Fourier coefficients of an odd perio...
- 16.16.8: Show that if the Fourier coefficients are given by the expressions ...
- 16.16.9: Derive Eqs. 16.36. Hint: Start with Eq. 16.29 and divide the interv...
- 16.16.10: Derive Eqs. 16.37. Follow the hint given in 16.9 except that becaus...
- 16.16.11: It is given that over the interval The function then repeats itself...
- 16.16.12: One period of a periodic function is described by the following equ...
- 16.16.13: Find the Fourier series of each periodic function shown in Fig. P16...
- 16.16.14: The periodic function shown in Fig. P16.14 is even and has both hal...
- 16.16.15: It is given that over the interval a) Construct a periodic function...
- 16.16.16: Repeat 16.15 given that over the interval -5 6 t 6 5 s.
- 16.16.17: a) Derive the Fourier series for the periodic current shown in Fig....
- 16.16.18: It is sometimes possible to use symmetry to find the Fourier coeffi...
- 16.16.19: For each of the periodic functions in Fig. P16.3, derive the Fourie...
- 16.16.20: Derive the Fourier series for the periodic function described in 16...
- 16.16.21: Derive the Fourier series for the periodic function constructed in ...
- 16.16.22: A)Derive the Fourier series for the periodic function shown in Fig....
- 16.16.23: Derive Eqs. 16.69 and 16.70.
- 16.16.24: a) Derive Eq. 16.71. Hint: Note that Use this expression for to fin...
- 16.16.25: Show that when we combine Eqs. 16.71 and 16.72 with Eqs. 16.38 and ...
- 16.16.26: a) Show that for large values of C, Eq. 16.67 can be approximated b...
- 16.16.27: The square-wave voltage shown in Fig. P16.27(a) is applied to the c...
- 16.16.28: The periodic square-wave voltage shown in Fig P16.13(a) with is app...
- 16.16.29: The periodic square-wave voltage seen in Fig. P16.29(a) is applied ...
- 16.16.30: The full-wave rectified sine-wave voltage shown in Fig. P16.30(a) i...
- 16.16.31: The periodic current described below is used to energize the circui...
- 16.16.32: A periodic voltage having a period of is given by the following Fou...
- 16.16.33: The periodic current shown in Fig. P16.33 is applied to a resistor....
- 16.16.34: The periodic voltage across a resistor is shown in Fig. P16.34. a) ...
- 16.16.35: The triangular-wave voltage source is applied to the circuit in Fig...
- 16.16.36: The voltage and current at the terminals of a network are The curre...
- 16.16.37: a) Find the rms value of the voltage shown in Fig. P16.37 for Note ...
- 16.16.38: a) Use the first three nonzero terms in the Fourier series approxim...
- 16.16.39: a) Estimate the rms value of the periodic squarewave voltage shown ...
- 16.16.40: a) Estimate the rms value of the full-wave rectified sinusoidal vol...
- 16.16.41: Assume the periodic function described in 16.14 is a current with a...
- 16.16.42: a) Derive the expressions for the Fourier coefficients for the peri...
- 16.16.43: The rms value of any periodic triangular wave having the form depic...
- 16.16.44: Derive the expression for the complex Fourier coefficients for the ...
- 16.16.45: a) The periodic voltage in 16.44 is applied to a resistor. If what ...
- 16.16.46: Use the exponential form of the Fourier series to write an expressi...
- 16.16.47: The periodic voltage source in the circuit shown in Fig. P16.47(a) ...
- 16.16.48: a) Find the rms value of the periodic voltage in Fig. P16.47(b). b)...
- 16.16.49: a) Make an amplitude and phase plot, based on Eq. 16.38, for the pe...
- 16.16.50: a) Make an amplitude and phase plot, based on Eq. 16.38, for the pe...
- 16.16.51: A periodic voltage is represented by a truncated Fourier series. Th...
- 16.16.52: A periodic function is represented by a Fourier series that has a f...
- 16.16.53: The input signal to a unity-gain third-order high-pass Butterworth ...
- 16.16.54: The input signal to a unity-gain second-order lowpass Butterworth f...
- 16.16.55: The input signal to a unity-gain second-order lowpass Butterworth f...
- 16.16.56: The transfer function for the narrowband bandpass filter circuit in...
- 16.16.57: a) Find the values for for the bandpass filter shown in Fig. 16.20(...

# Solutions for Chapter 16: Fourier Series

## Full solutions for Electric Circuits | 10th Edition

ISBN: 9780133760033

Solutions for Chapter 16: Fourier Series

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Solutions for Chapter 16

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This expansive textbook survival guide covers the following chapters and their solutions. Electric Circuits was written by and is associated to the ISBN: 9780133760033. This textbook survival guide was created for the textbook: Electric Circuits, edition: 10. Since 57 problems in chapter 16: Fourier Series have been answered, more than 13457 students have viewed full step-by-step solutions from this chapter. Chapter 16: Fourier Series includes 57 full step-by-step solutions.

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