Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 28, Problem 70P
Substitute the expression for q(t) in Equation 28.11 into the differential equation for an LC circuit with resistance, and find an expression for the angular frequency of the damped oscillations in terms of R, L, and C.
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Chapter 28 Solutions
Essential University Physics
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 - Whats meant by the statement, A capacitor acts...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 - 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 AC current is given by I = 495 sin(9.43t), with...Ch. 28 - Prob. 13ECh. 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 - Prob. 21ECh. 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 - Example 28.2: In a European application, a...Ch. 28 - Example 28.2: A 0.470-μF capacitor and a 144-μH...Ch. 28 - Example 28.2: A radio transmitter applies 480 V...Ch. 28 - Example 28.2: You’re building a radio transmitter...Ch. 28 - Example 28.4: A crossover network in a loudspeaker...Ch. 28 - Example 28.4: The midrange speaker in a...Ch. 28 - Example 28.4: In Fig. 28.25, take and . A...Ch. 28 - For the circuit of Fig. 28.25. use a phasor...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 - 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 - Prob. 49PCh. 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 - Prob. 60PCh. 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 sine-wave generator with 15.0-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 - 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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