- 6.P6.1: Briefly discuss the fundamental concept of Fourier theory
- 6.P6.2: Define the transfer function for a filter. Describe how the transfe...
- 6.P6.3: Describe how a filter processes an input signal to produce the outp...
- 6.P6.4: ourier analysis shows that the sawtooth waveform of Figure P6.4 can...
- 6.P6.5: The triangular waveform shown in Figure P6.5 can be written as the ...
- 6.P6.6: The full-wave rectified cosine wave shown in Figure P6.6 can be wri...
- 6.P6.7: The Fourier series for the periodic waveform shown in Figure P6.7 i...
- 6.P6.8: The transfer function H(f) = Vout/Vin of a filter is shown in Figur...
- 6.P6.9: Repeat P6.8 for the input voltage given by vin(t) = 4+5 cos(104t30)...
- 6.P6.10: Repeat P6.8 for the input voltage given by vin(t) = 6 + 2 cos(6000t...
- 6.P6.11: The input to a certain filter is given by vin (t) = 2 cos 104t 25 a...
- 6.P6.12: The input and output voltages of a certain filter operating in stea...
- 6.P6.13: The input and output voltages of a filter operating under sinusoida...
- 6.P6.14: The triangular waveform of P6.5 is the input for a filter with the ...
- 6.P6.15: Consider a circuit for which the output voltage is the running-time...
- 6.P6.16: Suppose we have a circuit for which the output voltage is the time ...
- 6.P6.17: The sawtooth waveform of P6.4 is applied as the input to a filter w...
- 6.P6.18: Suppose we have a system for which the output voltage is vo (t) = 1...
- 6.P6.19: List the frequencies in hertz for which the transfer function of a ...
- 6.P6.20: Consider a system for which the output voltage is vo (t) = vin (t) ...
- 6.P6.21: Draw the circuit diagram of a first-order RC lowpass filter and giv...
- 6.P6.22: Repeat P6.21 for a first-order RL lowpass filter.
- 6.P6.23: In Chapter 4, we used the time constant to characterize first-order...
- 6.P6.24: Suppose that we need a first-order RC lowpass filter with a half-po...
- 6.P6.25: Consider a first-order RC lowpass filter. At what frequency (in ter...
- 6.P6.26: An input signal given by vin (t) = 5 cos(500t) + 5 cos(1000t) + 5 c...
- 6.P6.27: The input signal of a first-order lowpass filter with the transfer ...
- 6.P6.28: Suppose we have a first-order lowpass filter that is operating in s...
- 6.P6.29: The input signal to a filter contains components that range in freq...
- 6.P6.30: Sketch the magnitude of the transfer function H(f) = Vout/Vin to sc...
- 6.P6.31: In steady-state operation, a first-order RC lowpass filter has the ...
- 6.P6.32: We apply a 5-V-rms 10-kHz sinusoid to the input of a first-order RC...
- 6.P6.33: Consider the circuit shown in Figure P6.33(a). This circuit consist...
- 6.P6.34: a. Derive an expression for the transfer function H(f) = Vout/Vin f...
- 6.P6.35: Perhaps surprisingly, we can apply the transfer-function concept to...
- 6.P6.36: What is the main advantage of converting transfer function magnitud...
- 6.P6.37: What is the passband of a simple RC lowpass filter?
- 6.P6.38: What is a logarithmic frequency scale? A linear frequency scale?
- 6.P6.39: a.What frequency is halfway between 100 and 3000 Hz on a logarithmi...
- 6.P6.40: a. Find the frequency that is one octave lower than 500 Hz. b. Two ...
- 6.P6.41: What is a notch filter? What is one application?
- 6.P6.42: a. Given |H(f)|dB = 10 dB, find |H(f)|. b. Repeat for |H(f)|dB = 10...
- 6.P6.43: Find the decibel equivalent for |H(f)| = 0.5. Repeat for |H(f)| = 2...
- 6.P6.44: Explain what we mean when we say that two filters are cascaded.
- 6.P6.45: We have a list of six successive frequencies, 5 Hz, f 1, f 2, f 3, ...
- 6.P6.46: a. How many decades are between f 1 = 25 Hz and f 2 = 10 kHz? b. Ho...
- 6.P6.47: We have two filters with transfer functions H1(f) and H2(f) cascade...
- 6.P6.48: Two first-order lowpass filters are in cascade as shown in Figure P...
- 6.P6.49: Two filters are in cascade. At a given frequency f 1, the transfer ...
- 6.P6.50: What is a Bode magnitude plot?
- 6.P6.51: What is the slope of the high-frequency asymptote for the Bode magn...
- 6.P6.52: Suppose that four filters, having identical first-order lowpass tra...
- 6.P6.53: A transfer function is given by H (f) = 100 1 + j(f /1000) Sketch t...
- 6.P6.54: A transfer function is given by H(f) = 0.1[1 + j(f /200)] Sketch th...
- 6.P6.55: Sketch the asymptotic magnitude and phase Bode plots to scale for t...
- 6.P6.56: Solve for the transfer function H(f) = Vout/Vin and sketch the asym...
- 6.P6.57: The circuit shown in Figure 6.57 has R1 = R2 = 2 k and C = (1/ )F. ...
- 6.P6.58: Consider a circuit for which vout(t) = 10vin(t) 400 t 0 vout(t)dt a...
- 6.P6.59: The circuit shown in Figure P6.59 has R = 20 and L = 20 mH. Solve f...
- 6.P6.60: In solving P6.15, we find that the transfer function of an integrat...
- 6.P6.61: In solving P6.16, we find that the transfer function of a different...
- 6.P6.62: What is the slope of the high-frequency asymptote for the Bode magn...
- 6.P6.63: Draw the circuit diagram of a first-order RC highpass filter and gi...
- 6.P6.64: Consider the circuit shown in Figure P6.64. Sketch the asymptotic B...
- 6.P6.65: Consider the first-order highpass filter shown in Figure P6.65. The...
- 6.P6.66: Repeat P6.65 for the input signal given by vin(t) = 10 cos(400t) + ...
- 6.P6.67: The circuit shown in Figure P6.67 has R = 200/ and C = 10 F. Sketch...
- 6.P6.68: Consider the circuit shown in Figure P6.68. Sketch the Bode magnitu...
- 6.P6.69: Suppose we need a first-order highpass filter (such as Figure 6.19 ...
- 6.P6.70: What can you say about the impedance of a series RLC circuit at the...
- 6.P6.71: Consider the series resonant circuit shown in Figure P6.71, with L ...
- 6.P6.72: Work P6.71 for L = 80 H, R = 14.14 , and C = 1000 pF.
- 6.P6.73: Suppose we have a series resonant circuit for which B = 15 kHz, f 0...
- 6.P6.74: Derive an expression for the resonant frequency of the circuit show...
- 6.P6.75: At the resonant frequency f 0 = 1 MHz, a series resonant circuit wi...
- 6.P6.76: Suppose we have a series resonant circuit for which f 0 =12MHz andB...
- 6.P6.77: What is a bandpass filter? How is its bandwidth defined?
- 6.P6.78: What can you say about the impedance of a parallel RLC circuit at t...
- 6.P6.79: A parallel resonant circuit has R = 5 k, L = 50 H, and C = 200 pF. ...
- 6.P6.80: A parallel resonant circuit has f 0 = 20 MHz and B = 200 kHz. The m...
- 6.P6.81: A parallel resonant circuit has f 0 = 100 MHz, B = 4 MHz, and R = 1...
- 6.P6.82: Consider the parallel resonant circuit shown in Figure 6.29 on page...
- 6.P6.83: Name four types of ideal filters.
- 6.P6.84: An ideal bandpass filter has cutoff frequencies of 9 and 11 kHz and...
- 6.P6.85: An ideal lowpass filter has a cutoff frequency of 10 kHz and a gain...
- 6.P6.86: Suppose that sinewave interference has been inadvertently added to ...
- 6.P6.87: In an electrocardiograph, the heart signals contain components with...
- 6.P6.88: Each AM radio signal has components ranging from 10 kHz below its c...
- 6.P6.89: Draw the circuit diagram of a second-order highpass filter. Suppose...
- 6.P6.90: Draw the circuit diagram of a second-order lowpass filter. Given th...
- 6.P6.91: Consider the filter shown in Figure P6.91. a. Derive an expression ...
- 6.P6.92: Repeat P6.91 for the circuit of Figure P6.92. + Vin Vout R1 + R2 C ...
- 6.P6.93: Suppose that we need a filter with the Bode plot shown in Figure P6...
- 6.P6.94: Suppose that we need a filter with the Bode plot shown in Figure P6...
- 6.P6.95: Other combinations of R, L, and C have behaviors similar to that of...
- 6.P6.96: Consider the circuit of Figure P6.74 with R = 1 k, L = 1 mH, and C ...
- 6.P6.97: Use the method of Example 6.9 to obtain a magnitude bode plot of th...
- 6.P6.98: Repeat P6.97 for the highpass filter shown in Figure P6.98. Rs C + ...
- 6.P6.99: Other combinations of R, L, and C have behaviors similar to that of...
- 6.P6.100: Consider the filter shown in Figure P6.100. a. Derive an expression...
- 6.P6.101: Repeat P6.100 for the circuit of Figure P6.101. + Vin Vout R + C L ...
- 6.P6.102: a. Develop a digital filter that mimics the action of the RL filter...
- 6.P6.103: Repeat P6.102 for the filter shown in Figure P6.103. x(t) y(t) + + ...
- 6.P6.104: Consider the second-order bandpass filter shown in Figure P6.104. a...

# Solutions for Chapter 6: Electrical Engineering: Principles & Applications 6th Edition

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ISBN: 9780133116649

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