Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 32, Problem 45AP
You have decided to build your own speaker system for your home entertainment system. The system will consist of two loudspeakers: a large “woofer,” to which you want to send low audio frequencies (bass), and a small “tweeter,” which should receive high audio frequencies (treble). To separate the high and low frequencies of the audio signal, you build the “crossover network” shown in Figure P32.45. The input voltage is the audio output of the amplifier in your system, shown in the figure as an AC source. You have two outputs as shown: one across the resistor and one across the capacitor. (a) Across which element should you connect the woofer? (b) Across which element should you connect the tweeter? (c) To choose the appropriate values of R and C, you need to determine an expression for the ratio of the output voltage to the input voltage as a function of angular frequency ω for the resistor as an output. (d) You need to determine a similar expression for the ratio of the output voltage to the input voltage as a function of angular frequency ω for the capacitor as an output.
Figure P32.45
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You have decided to build your own speaker system for your home entertainment system. The system will consist of two loudspeakers: a large “woofer,” to which you want to send low audio frequencies (bass), and a small “tweeter,” which should receive high audio frequencies (treble). To separate the high and low frequencies of the audio signal, you build the “crossover network” as shown. The input voltage is the audio output of the amplifier in your system, shown in the figure as an AC source. You have two outputs as shown: one across the resistor and one across the capacitor. (a) Across which element should you connect the woofer? (b) Across which element should you connect the tweeter? (c) To choose the appropriate values of R and C, you need to determine an expression for the ratio of the output voltage to the input voltage as a function of angular frequency ω for the resistor as an output. (d) You need to determine a similar expression for the ratio of the output voltage to the input…
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Chapter 32 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 32.2 - Consider the voltage phasor in Figure 32.4, shown...Ch. 32.3 - Consider the AC circuit in Figure 32.8. The...Ch. 32.4 - Consider the AC circuit in Figure 32.11. The...Ch. 32.4 - Consider the AC circuit in Figure 32.12. The...Ch. 32.5 - Label each part of Figure 32.16, (a), (b), and...Ch. 32.6 - Prob. 32.6QQCh. 32.7 - Prob. 32.7QQCh. 32 - (a) What is the resistance of a lightbulb that...Ch. 32 - A certain lightbulb is rated at 60.0 W when...Ch. 32 - The current in the circuit shown in Figure P32.3...
Ch. 32 - Figure P32.4 shows three lightbulbs connected to a...Ch. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - Prob. 8PCh. 32 - An AC source has an output rms voltage of 78.0 V...Ch. 32 - Prob. 10PCh. 32 - Prob. 11PCh. 32 - An AC source with an output rms voltage of 86.0 V...Ch. 32 - What is the maximum current in a 2.20-F capacitor...Ch. 32 - Prob. 14PCh. 32 - In addition to phasor diagrams showing voltages...Ch. 32 - An AC source with Vmax = 150 V and f = 50.0 Hz is...Ch. 32 - You are working in a factory and have been tasked...Ch. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - A 60.0-ft resistor is connected in series with a...Ch. 32 - A series RLC circuit has a resistance of 45.0 and...Ch. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - An AC voltage of the form v = 90.0 sin 350t, where...Ch. 32 - Prob. 25PCh. 32 - A series RLC circuit has components with the...Ch. 32 - You wish to build a series RLC circuit for a...Ch. 32 - A 10.0- resistor, 10.0-mH inductor, and 100-F...Ch. 32 - Prob. 29PCh. 32 - The primary coil of a transformer has N1 = 350...Ch. 32 - Prob. 31PCh. 32 - A transmission line that has a resistance per unit...Ch. 32 - Prob. 33APCh. 32 - Prob. 34APCh. 32 - Prob. 35APCh. 32 - Prob. 36APCh. 32 - Prob. 37APCh. 32 - Prob. 38APCh. 32 - Prob. 39APCh. 32 - Prob. 40APCh. 32 - Prob. 41APCh. 32 - (a) Sketch a graph of the phase angle for an RLC...Ch. 32 - A series RLC circuit contains the following...Ch. 32 - Review. In the circuit shown in Figure P32.44,...Ch. 32 - You have decided to build your own speaker system...Ch. 32 - Prob. 46APCh. 32 - Prob. 47APCh. 32 - A series RLC circuit in which R = l.00 , L = 1.00...Ch. 32 - The resistor in Figure P32.49 represents the...Ch. 32 - Prob. 50CPCh. 32 - Prob. 51CP
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- A 30F capacitor is connected across a 60-Hz ac source whose voltage amplitude is 50 V. (a) What is the maximum charge on the capacitor? (b) What is the maximum current into the capacitor? (c) What is the phase relationship between the capacitor charge and the current in the circuit?arrow_forwardAn RLC series circuit has an impedance of 60 and a power factor of 0.50, with the voltage Lagging the current (a) Should a capacitor or an inductor be placed in series with the elements to raise the power factor of the circuit? (b) What is the value of the capacitance or self-inductance that will raise the power factor to unity?arrow_forwardAn audio amplifier, represented by the AC source and resistor in Figure P33.7, delivers to the speaker alternating voltage at audio frequencies. If the source voltage has an amplitude of 15.0 V, R= 8.20 ohms and the speaker is equivalent to a resistance of 10.4 ohms, what is the time-averaged power transferred to it?arrow_forward
- An LC circuit with a 5.01 pF capacitor oscillates in such a manner as to radiate at a wavelength of 3.26 m. a) What is the resonant frequency? Hz b) What inductance is in series with the capacitor? µHarrow_forwardA 12.5@mF capacitor and a 47.5@mF capacitor are connected toan ac generator with a frequency of 60.0 Hz. What is the capacitive reactance of this pair of capacitors if they are connected (a) inparallel or (b) in series?arrow_forwardH.W 1: The current through a 5-N resistor is given. Find the sinusoidal expression for the voltage across the resistor for i = 40 sin(377t + 30°).arrow_forward
- A 12.5-μF capacitor and a 47.5-µF capacitor are connected to an ac generator with a frequency of 60 0 in parallel Hz. What is the capacitive reactance of this pair of capacitors if they are connectedarrow_forwardVP31.3.3 An ac circuit includes a 155 Ω resistor in series with an 8.00 μF capacitor. The current in the circuit has amplitude 4.00×10−3 A. (a) Find the frequency for which the capacitive reactance equals the resistance. (b) At this frequency, what are the amplitudes of the voltages across the resistor and capacitor?arrow_forwardYou have a resistor and a capacitor of unknown values. First, you charge the capacitor and discharge it through the resistor. By monitoring the capacitor voltage on an oscilloscope, you see that the voltage decays to half its initial value in 2.30 ms . You then use the resistor and capacitor to make a low-pass filter. What is the crossover frequency fe? Express your answer with the appropriate units. HA ? Value Unitsarrow_forward
- A 2.80 [μF] capacitor is connected to an AC source with maximum voltage 12.0 [V] and frequency 60 [Hz]. What is the reactance of the capacitor?arrow_forwardA Series RLC circuit with L=160mH , C= 100mF and R= 40.0ohms is connected to a sinusoidal voltage e(t)=sin wt volts with w= 200rad/sec. a). What is the impedance of the circuit? b)Let the current at any instant in the circuit be i(t)=Io sin (wt-angle. Find Io c). What is the phase angle?arrow_forwardRefer to the figure to the right, 185 mH 65.0 uF 40.0 0 if an AC source of frequency @=50 Hz is connected to the points a and d. What is the capacitive reactance in this circuit? Figure P32.16 Problems 16 and 51.arrow_forward
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