Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 28, Problem 1FTD
Two AC signals have the same amplitude but different frequencies. Are their rms amplitudes the same?
Expert Solution & Answer
To determine
Whether the rms amplitudes of the AC signals of same amplitude but different frequency are same or not.
Answer to Problem 1FTD
The rms amplitudes of the two AC signals are same.
Explanation of Solution
AC signals are ones which changes the direction periodically. Generally, AC signals are sinusoidal in nature. The rms amplitude of an AC signal depends only on the peak amplitude of the wave.
Moreover, the rms amplitude has no dependence on the frequency of the wave. Therefore, for two AC signals having same amplitude but different frequency will have the same rms amplitude.
Conclusion:
Therefore, the rms amplitudes of the two AC signals are same.
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Chapter 28 Solutions
Essential University Physics (3rd Edition)
Ch. 28.1 - What are the peak voltage and angular frequency of...Ch. 28.2 - Prob. 28.2GICh. 28.3 - You have an LC circuit that oscillates at a...Ch. 28.4 - You measure the capacitor and inductor voltages in...Ch. 28.5 - A resistor and capacitor are connected in series...Ch. 28.6 - A distribution line in a city supplies AC power at...Ch. 28 - Two AC signals have the same amplitude but...Ch. 28 - Whats meant by the statement, A capacitor acts...Ch. 28 - Theres an insulating gap between capacitor plates,...Ch. 28 - Why does it make sense that inductive reactance...
Ch. 28 - The same AC voltage appears across a capacitor and...Ch. 28 - When a particular inductor and capacitor are...Ch. 28 - An inductor and capacitor are connected in series...Ch. 28 - When the capacitor voltage in an undriven LC...Ch. 28 - Why is Equation 28.5 not a full description of the...Ch. 28 - The applied voltage in a series RLC circuit lags...Ch. 28 - The voltage across two components in series is...Ch. 28 - If you measure the rms voltages across the...Ch. 28 - A step-up transformer increases voltage, or energy...Ch. 28 - Much of Europe uses AC power at 230 V rms and 50...Ch. 28 - An industrial electric motor runs at 208 V rms and...Ch. 28 - An AC current is given by I = 495 sin(9.43t), with...Ch. 28 - Prob. 17ECh. 28 - Find the rms current in a 1.0-F capacitor...Ch. 28 - A 470- resistor, 10-F capacitor, and 750-mH...Ch. 28 - Find the reactance of a 3.3-F capacitor at (a) 60...Ch. 28 - A 15-F capacitor carries 1.4 A rms. Whats its...Ch. 28 - A capacitor and a 1.8-k resistor pass the same...Ch. 28 - A 50-mH inductor is connected across a 10-V rms AC...Ch. 28 - Find the resonant frequency of an LC circuit...Ch. 28 - An LC circuit with C = 18 mF undergoes...Ch. 28 - Your sister whos building the radio (Chapter 27...Ch. 28 - An LC circuit with a 20-F capacitor oscillates...Ch. 28 - A series RLC circuit has R = 75 k, L = 20 mH, and...Ch. 28 - Find the impedance at 10 kHz of a circuit...Ch. 28 - A series RLC circuit has R = 18 k, C = 14 F, and L...Ch. 28 - If the peak voltage applied to produce the curves...Ch. 28 - An electric drill draws 4.6 A rms at 120 V rms. If...Ch. 28 - A 40-W fluorescent lamp has power factor 0.85 and...Ch. 28 - An electric water heater draws 20 A rms at 240 V...Ch. 28 - For safety, medical equipment connected to...Ch. 28 - Youre planning a semester in China, so you want to...Ch. 28 - (a) A 2.2-H inductor is connected across 120-V...Ch. 28 - A 2.0-F capacitor has 1.0-k reactance. (a) Whats...Ch. 28 - Show that the unit of both capacitive and...Ch. 28 - Electroencephalography (EEG) elucidates brain...Ch. 28 - At 15 kHz an inductor has 12 times the reactance...Ch. 28 - A 0.75-H inductor is in series with a fluorescent...Ch. 28 - A 2.2-nF capacitor and one of unknown capacitance...Ch. 28 - Connections to the body for electrocardiography...Ch. 28 - The FM radio band covers the frequency range 88108...Ch. 28 - An LC circuit includes a 0.025-F capacitor and a...Ch. 28 - One-eighth of a cycle after the capacitor in an LC...Ch. 28 - The 2420-F capacitor in Fig. 28.25 is initially...Ch. 28 - A damped LC circuit consists of a 0.15-F capacitor...Ch. 28 - A damped RLC circuit includes a 5.0- resistor and...Ch. 28 - An RLC circuit includes a 1.5-H inductor and a...Ch. 28 - The table below shows the ratio of peak voltage to...Ch. 28 - Figure 28.26 shows the phasor diagram for an RLC...Ch. 28 - An AC voltage of fixed amplitude is applied across...Ch. 28 - A series RLC circuit has resistance 127 and...Ch. 28 - A series RLC circuit has power factor 0.764 and...Ch. 28 - Youre Chief Financial Officer for a power company,...Ch. 28 - A car-battery charger runs off the 120-V rms AC...Ch. 28 - A power supply like that of Fig. 28.23 is supposed...Ch. 28 - An RLC circuit includes a 3.3-F capacitor and a...Ch. 28 - A series RLC circuit with R = 1.3 , L = 27 mH, and...Ch. 28 - Differentiate Equation 28.9 to find the current in...Ch. 28 - Find a second frequency where the current in the...Ch. 28 - Two capacitors are connected in parallel across a...Ch. 28 - A black box has two input connections and two...Ch. 28 - A series RLC circuit with R = 47 , L = 250 mH, and...Ch. 28 - A sine-wave generator with 20-V peak output is...Ch. 28 - For RLC circuits in which the resistance isnt too...Ch. 28 - A triangle wave swings linearly between voltages...Ch. 28 - Substitute the expression for q(t) in Equation...Ch. 28 - Although the maximum current flows in the speaker...Ch. 28 - Your professor tells you about the days before...Ch. 28 - A filter is a circuit designed to pass AC signals...Ch. 28 - A filter is a circuit designed to pass AC signals...Ch. 28 - A filter is a circuit designed to pass AC signals...Ch. 28 - A filter is a circuit designed to pass AC signals...
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