Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter 15, Problem 30E
(a)
To determine
Find the approximate value of the input impedance magnitude for operation at
(b)
To determine
Find the approximate value of the input impedance magnitude for operation at
(c)
To determine
Find the approximate value of the input impedance magnitude for operation at
(d)
To determine
Find the approximate value of the input impedance magnitude for operation at
(e)
To determine
Plot the estimates along with the exact result using a linear frequency
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a. In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit?
b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have?
c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor?
d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation)
Since this is multi-part, answers to later parts will be graded based on your answers to previous parts when necessary.
a) In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit?
b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have?
c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor?
d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation)
A series RLC circuit is formed using component values R=100 and L=1.5 mH, together with a source that provides a sinusoidal voltage Vs (t). If the quality factor in resonance condition is Q0 = 7, determine:
a) the magnitude of the impedance at 500 Mrad s-1b) the current that circulates if vs (t) = 2,5V cos (425 ×10 6t)
Note: Vent (input voltage). Vsal (output voltage)
Chapter 15 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 15.1 - Write an expression for the transfer function of...Ch. 15.2 - Calculate HdB at = 146 rad/s if H(s) equals (a)...Ch. 15.2 - Prob. 3PCh. 15.2 - Draw the Bode phase plot for the transfer function...Ch. 15.2 - Construct a Bode magnitude plot for H(s) equal to...Ch. 15.2 - Draw the Bode phase plot for H(s) equal to (a)...Ch. 15.2 - Prob. 7PCh. 15.3 - A parallel resonant circuit is composed of the...Ch. 15.3 - Prob. 9PCh. 15.4 - A marginally high-Q parallel resonant circuit has...
Ch. 15.5 - A series resonant circuit has a bandwidth of 100...Ch. 15.6 - Referring to the circuit of Fig. 15.25a, let R1 =...Ch. 15.6 - Prob. 13PCh. 15.6 - Prob. 14PCh. 15.6 - The series combination of 10 and 10 nF is in...Ch. 15.7 - A parallel resonant circuit is defined by C = 0.01...Ch. 15.8 - Design a high-pass filter with a cutoff frequency...Ch. 15.8 - Design a bandpass filter with a low-frequency...Ch. 15.8 - Design a low-pass filter circuit with a gain of 30...Ch. 15 - For the RL circuit in Fig. 15.52, (a) determine...Ch. 15 - For the RL circuit in Fig. 15.52, switch the...Ch. 15 - Examine the series RLC circuit in Fig. 15.53, with...Ch. 15 - For the circuit in Fig. 15.54, (a) derive an...Ch. 15 - For the circuit in Fig. 15.55, (a) derive an...Ch. 15 - For the circuit in Fig. 15.56, (a) determine the...Ch. 15 - For the circuit in Fig. 15.57, (a) determine the...Ch. 15 - Sketch the Bode magnitude and phase plots for the...Ch. 15 - Use the Bode approach to sketch the magnitude of...Ch. 15 - If a particular network is described by transfer...Ch. 15 - Use MATLAB to plot the magnitude and phase Bode...Ch. 15 - Determine the Bode magnitude plot for the...Ch. 15 - Determine the Bode magnitude and phase plot for...Ch. 15 - Prob. 15ECh. 15 - Prob. 16ECh. 15 - For the circuit of Fig. 15.56, construct a...Ch. 15 - Construct a magnitude and phase Bode plot for the...Ch. 15 - For the circuit in Fig. 15.54, use LTspice to...Ch. 15 - For the circuit in Fig. 15.55, use LTspice to...Ch. 15 - Prob. 21ECh. 15 - A certain parallel RLC circuit is built using...Ch. 15 - A parallel RLC network is constructed using R = 5...Ch. 15 - Prob. 24ECh. 15 - Delete the 2 resistor in the network of Fig....Ch. 15 - Delete the 1 resistor in the network of Fig....Ch. 15 - Prob. 28ECh. 15 - Prob. 29ECh. 15 - Prob. 30ECh. 15 - A parallel RLC network is constructed with a 200 H...Ch. 15 - Prob. 32ECh. 15 - A parallel RLC circuit is constructed such that it...Ch. 15 - Prob. 34ECh. 15 - Prob. 35ECh. 15 - An RLC circuit is constructed using R = 5 , L = 20...Ch. 15 - Prob. 37ECh. 15 - Prob. 38ECh. 15 - For the network of Fig. 15.25a, R1 = 100 , R2 =...Ch. 15 - Assuming an operating frequency of 200 rad/s, find...Ch. 15 - Prob. 41ECh. 15 - Prob. 42ECh. 15 - For the circuit shown in Fig. 15.64, the voltage...Ch. 15 - Prob. 44ECh. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - The filter shown in Fig. 15.66a has the response...Ch. 15 - Prob. 48ECh. 15 - Examine the filter for the circuit in Fig. 15.68....Ch. 15 - Examine the filter for the circuit in Fig. 15.69....Ch. 15 - (a)Design a high-pass filter with a corner...Ch. 15 - (a) Design a low-pass filter with a break...Ch. 15 - Prob. 53ECh. 15 - Prob. 54ECh. 15 - Design a low-pass filter characterized by a...Ch. 15 - Prob. 56ECh. 15 - The circuit in Fig. 15.70 is known as a notch...Ch. 15 - (a) Design a two-stage op amp filter circuit with...Ch. 15 - Design a circuit which removes the entire audio...Ch. 15 - Prob. 61ECh. 15 - If a high-pass filter is required having gain of 6...Ch. 15 - (a) Design a second-order high-pass Butterworth...Ch. 15 - Design a fourth-order high-pass Butterworth filter...Ch. 15 - (a) Design a Sallen-Key low-pass filter with a...Ch. 15 - (a) Design a Sallen-Key low-pass filter with a...Ch. 15 - A piezoelectric sensor has an equivalent circuit...Ch. 15 - Design a parallel resonant circuit for an AM radio...Ch. 15 - The network of Fig. 15.72 was implemented as a...Ch. 15 - Determine the effect of component tolerance on the...
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