EBK PHYSICS
5th Edition
ISBN: 8220103026918
Author: Walker
Publisher: PEARSON
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Textbook Question
Chapter 24, Problem 87GP
An RLC circuit with R = 20.0 Ω, L = 295 mH, and C = 49.7 μ is connected to an ac generator with an rms voltage of 215 V. Determine the average power delivered to this circuit when the frequency of the generator is (a) equal to the resonance frequency, (b) twice the resonance frequency, and (c) half the resonance frequency.
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The generator in a purely inductive AC circuit has an angular frequency of 120π rad/s. If ΔVmax = 142 V and L = 0.140 H, what is the rms current in the circuit?
The output voltage of an AC generator is given by Δ v = (170 V) sin (60πt). The generator is connected across a 20.0-Ω resistor. By inspection, what are the (a) maximum voltage and (b) frequency? Find the (c) rms voltage across the resistor, (d) rms current in the resistor, (e) maximum current in the resistor, (f) power delivered to the resistor, and (g) current when t = 0.005 0 s. (h) Should the argument of the sine function be in degrees or radians?
GIVEN:
Output voltage, Δv = (170 V) sin (60πt)
Resistance, R = 20.0-Ω
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Step 2 Part (a)
Part (a)
Standard equation can be represented as,
Δv = Vmsin(ωt)
Where, Vm = maximum voltage.
ω = angular frequency.
Compare the given equation with standard equation.
We get, Vm = 170 V Answer
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Step 3 Part (b)
Part (b)
Angular frequency, ω = 60π ... (1)
Also, ω = 2πf .... (2)
Equate both,
2πf = 60π
f = 60π/2π
f = 30 Hz Answer
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Step 4 Part (c)
Part (c)
RMS voltage is…
The output voltage of an AC generator is given by Δ v = (170 V) sin (60πt). The generator is connected across a 20.0-Ω resistor. By inspection, what are the (a) maximum voltage and (b) frequency? Find the (c) rms voltage across the resistor, (d) rms current in the resistor, (e) maximum current in the resistor, (f) power delivered to the resistor, and (g) current when t = 0.005 0 s. (h) Should the argument of the sine function be in degrees or radians?
Step 1
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GIVEN:
Output voltage, Δv = (170 V) sin (60πt)
Resistance, R = 20.0-Ω
arrow_forward
Step 2 Part (a)
Part (a)
Standard equation can be represented as,
Δv = Vmsin(ωt)
Where, Vm = maximum voltage.
ω = angular frequency.
Compare the given equation with standard equation.
We get, Vm…
Chapter 24 Solutions
EBK PHYSICS
Ch. 24.1 - A circuit has a sinusoidally varying current whose...Ch. 24.2 - Circuit 1 has a capacitor with a capacitance C and...Ch. 24.3 - The two circuits shown in Figure 24-14 have...Ch. 24.4 - A circuit consists of an ac generator and an...Ch. 24.5 - Prob. 5EYUCh. 24.6 - An RLC circuit has a resonance frequency of 60 Hz....Ch. 24 - Why is the current in an ac circuit not always in...Ch. 24 - An LC circuit is driven at a frequency higher than...Ch. 24 - An LC circuit is driven at a frequency lower than...Ch. 24 - Prob. 4CQ
Ch. 24 - Prob. 5CQCh. 24 - Two RLC circuits have different values of L and C....Ch. 24 - Can an RLC circuit have the same impedance at two...Ch. 24 - An ac generator produces a peak voltage of 75 V....Ch. 24 - In many European homes the rms voltage available...Ch. 24 - An rms voltage of 120 V produces a maximum current...Ch. 24 - The rms current in an ac circuit with a resistance...Ch. 24 - A 3.33-k resistor is connected to a generator with...Ch. 24 - A 75-watt lightbulb uses an average power of 75 W...Ch. 24 - Inverter Efficiency An array of solar panels...Ch. 24 - Prob. 8PCECh. 24 - The reactance of a capacitor is 65 at a frequency...Ch. 24 - The capacitive reactance of a capacitor at 60 0 Hz...Ch. 24 - A 105-F capacitor is connected to an ac generator...Ch. 24 - The rms voltage across a 0.010-F capacitor is 2.8...Ch. 24 - Predict/Calculate The rms current through a 55.5-F...Ch. 24 - The maximum current in a 22-F capacitor connected...Ch. 24 - PredicCalculate An rms voltage of 20 5 V with a...Ch. 24 - A circuit consists of a 2.00-kHz generator and a...Ch. 24 - A 0.22-F capacitor is connected to an ac generator...Ch. 24 - At what frequency will a generator with an rms...Ch. 24 - PredicCalculate A 22 0-Fcapacitor is connected to...Ch. 24 - Find the impedance of a 60 0-Hz circuit with a...Ch. 24 - An ac generator with a frequency of 125 Hz and an...Ch. 24 - The rms current in an RC circuit is 0.72 A. The...Ch. 24 - When an ac generator with a frequency of 180 Hz...Ch. 24 - A 50 0-Hz generator with an rms voltage of 115 V...Ch. 24 - (a) At what frequency must the circuit in Problem...Ch. 24 - Find the power factor for an RC circuit connected...Ch. 24 - Predict/Calculate (a) Determine the power factor...Ch. 24 - Square-Wave Voltage II The square-wave voltage...Ch. 24 - Prob. 29PCECh. 24 - An inductor has a reactance of 56 5 at 85 0 Hz....Ch. 24 - What is the rms current in a 97 5-mH inductor when...Ch. 24 - What rms voltage is required to produce an rms...Ch. 24 - Loudspeaker Impedance A loudspeakers impedance is...Ch. 24 - Prob. 34PCECh. 24 - A 525- resistor and a 295-mH inductor are...Ch. 24 - The rms current in an RL circuit is 0 26 A when it...Ch. 24 - An ac generator with a frequency of 1 55 kHz and...Ch. 24 - Predict/Calculate An rms voltage of 22 2 V with a...Ch. 24 - A 0.22-H inductor is connected to an ac generator...Ch. 24 - The phase angle in a certain RL circuit is 68 at a...Ch. 24 - (a) Sketch the phasor diagram for an ac circuit...Ch. 24 - A large air conditioner has a resistance of 7 0 ...Ch. 24 - Prob. 43PCECh. 24 - Prob. 44PCECh. 24 - Prob. 45PCECh. 24 - Predict/Explain (a) When the ac generator in...Ch. 24 - Prob. 47PCECh. 24 - Predict/Explain (a) When the ac generator in...Ch. 24 - Find the rms voltage across each element in an RLC...Ch. 24 - What is the impedance of a 1 50-kQ resistor, a...Ch. 24 - Consider the circuit shown in Figure 24-34 The ac...Ch. 24 - What is the phase angle in an RLC circuit with R =...Ch. 24 - An ac voltmeter, which displays the rms voltage...Ch. 24 - Prob. 54PCECh. 24 - (a) Sketch the phasor diagram for an ac circuit...Ch. 24 - A generator connected to an RLC circuit has an rms...Ch. 24 - Prob. 57PCECh. 24 - Predict/Explain In an RLC circuit a second...Ch. 24 - An RLC circuit has a resonance frequency of 1 9...Ch. 24 - The Magnetron A magnetron in a kitchen microwave...Ch. 24 - At resonance, the rms current in an RLC circuit is...Ch. 24 - The resistance in an RLC circuit is doubled (a)...Ch. 24 - Predict/Calculate The capacitive reactance in an...Ch. 24 - Predict/Calculate The capacitive reactance in an...Ch. 24 - A 115- resistor, a 67 6-mH inductor, and a 189-F...Ch. 24 - (a) Find the frequency at which an 18-F capacitor...Ch. 24 - Consider an RLC circuit with R = 105 , L- 518 mH,...Ch. 24 - Predict/Calculate An RLC circuit has a resonance...Ch. 24 - An RLC circuit has a capacitance of 0 29 F. (a)...Ch. 24 - CE BIO Persistence of Vision Although an...Ch. 24 - CE An RLC circuit is driven at its resonance...Ch. 24 - CE Predict/Explain Suppose the circuits shown in...Ch. 24 - Prob. 73GPCh. 24 - Prob. 74GPCh. 24 - A 4 40-F and an 8.80-F capacitor are connected in...Ch. 24 - A 4.40-F and an 8.80-F capacitor are connected in...Ch. 24 - A 12.5-F capacitor and a 47.5-F capacitor are...Ch. 24 - CE A generator drives an RLC circuit with the...Ch. 24 - Trapped on a deserted island, you salvage some...Ch. 24 - Predict/Calculate When a certain resistor is...Ch. 24 - Find the average power consumed by an RC circuit...Ch. 24 - A 1 15-k resistor and a 505-mH inductor are...Ch. 24 - Prob. 83GPCh. 24 - Predict/Calculate Figure 24-39 shows the phasor...Ch. 24 - Prob. 85GPCh. 24 - Predict/Calculate Black-Box Experiment You are...Ch. 24 - An RLC circuit with R = 20.0 , L = 295 mH, and C =...Ch. 24 - A Light-Dimmer Circuit The intensity of a...Ch. 24 - An electric motor with a resistance of 15 arid an...Ch. 24 - Predict/Calculate Tuning a Radio A radio tuning...Ch. 24 - If the maximum voltage in the square wave shown in...Ch. 24 - An ac generator supplies an rms voltage of 5.00 V...Ch. 24 - An RC circuit consists of a resistor R = 32 , a...Ch. 24 - Prob. 94PPCh. 24 - Prob. 95PPCh. 24 - Prob. 96PPCh. 24 - Prob. 97PPCh. 24 - Prob. 98PPCh. 24 - Prob. 99PP
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