Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 31, Problem 12Q
Figure 31-25 shows the current i and driving emf ℰ for a series RLC circuit (a) Does the current lead or lag the emf? (b) Is the circuit’s load mainly capacitive or mainly inductive? (c) Is the angular frequency ωd of the emf greater than or less than the natural angular frequency ω?
Figure 31-25 Question 11 and 12.
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9 Figure 31-23 shows the current i
and driving emf E for a series RLC
circuit. (a) Is the phase constant posi-
E, i
tive or negative? (b) To increase the
rate at which energy is transferred
to the resistive load, should L be in-
creased or decreased? (c) Should, in-
stead, C be increased or decreased?
Figure 31-23 Question 9.
A series RLC circuit has components with the following values: L = 18.0 mH, C = 114 nF, R = 30.o n, and AV = 100 V, with Av = AV,
sin wt.
max
(a) Find the resonant frequency of the circuit.
kHz
(b) Find the amplitude of the current at the resonant frequency.
(c) Find the Q of the circuit.
(d) Find the amplitude of the voltage across the inductor at resonance.
kV
A series RLC circuit has components with the following values: L = 22.0 mH, C = 88.0 nF, R = 15.0 N, and AVmay
= 100 V, with
Av = AV.
max
sin wt.
(a) Find the resonant frequency of the circuit.
kHz
(b) Find the amplitude of the current at the resonant frequency.
(c) Find the Q of the circuit.
(d) Find the amplitude of the voltage across the inductor at resonance.
kV
Chapter 31 Solutions
Fundamentals of Physics Extended
Ch. 31 - Figure 31-19 shows three oscillating LC circuits...Ch. 31 - Figure 31-20 shows graphs of capacitor voltage vc...Ch. 31 - Prob. 3QCh. 31 - What values of phase constant in Eq. 31-12 allow...Ch. 31 - Curve a in Fig. 31-21 gives the impedance Z of a...Ch. 31 - Prob. 6QCh. 31 - Prob. 7QCh. 31 - The values of the phase constant for four...Ch. 31 - Prob. 9QCh. 31 - Figure 31-24 shows three situations like those of...
Ch. 31 - Prob. 11QCh. 31 - Figure 31-25 shows the current i and driving emf ...Ch. 31 - Prob. 13QCh. 31 - An oscillating LC circuit consists of a 75.0 mH...Ch. 31 - The frequency of oscillation of a certain LC...Ch. 31 - In a certain oscillating LC circuit, the total...Ch. 31 - What is the capacitance of an oscillating LC...Ch. 31 - In an oscillating LC circuit, L = 1.10 mH and C =...Ch. 31 - A 0.50 kg body oscillates in SHM on a spring that,...Ch. 31 - SSM The energy in an oscillating LC circuit...Ch. 31 - A single loop consists of inductors L1, L2, . . ....Ch. 31 - ILW In an oscillating LC circuit with L = 50 mH...Ch. 31 - Prob. 10PCh. 31 - SSM WWW A variable capacitor with a range from 10...Ch. 31 - In an oscillating LC circuit, when 75.0 of the...Ch. 31 - In an oscillating LC circuit, L = 3.00 mH and C =...Ch. 31 - To construct an oscillating LC system, you can...Ch. 31 - ILW An oscillating LC circuit consisting of a 1.0...Ch. 31 - An inductor is connected across a capacitor whose...Ch. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Using the loop rule, derive the differential...Ch. 31 - GO In an oscillating LC circuit in which C = 4.00...Ch. 31 - Prob. 21PCh. 31 - A series circuit containing inductance L1 and...Ch. 31 - GO In an oscillating LC circuit, L = 25.0 mH and C...Ch. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - GO In an oscillating series RLC circuit, find the...Ch. 31 - SSM In an oscillating series RLC circuit, show...Ch. 31 - A 1.50 F capacitor is connected as in Fig. 31-10...Ch. 31 - ILW A 50.0 mH inductor is connected as in Fig....Ch. 31 - A 50.0 resistor is connected as in Fig. 31-8 to...Ch. 31 - a At what frequency would a 6.0 mH inductor and a...Ch. 31 - GO An ac generator has emf = m sin dt, with m =...Ch. 31 - SSM An ac generator has emf = m sindt = /4, where...Ch. 31 - GO An ac generator with emf = m sin dt, where m =...Ch. 31 - ILW A coil of inductance 88 mH and unknown...Ch. 31 - An alternating source with a variable frequency, a...Ch. 31 - An electric motor has an effective resistance of...Ch. 31 - The current amplitude I versus driving angular...Ch. 31 - Remove the inductor from the circuit in Fig. 31-7...Ch. 31 - An alternating source drives a series RLC circuit...Ch. 31 - Prob. 41PCh. 31 - An alternating source with a variable frequency,...Ch. 31 - Prob. 43PCh. 31 - GO An ac generator with emf amplitude m = 220 V...Ch. 31 - GO ILW a In an RLC circuit, can the amplitude of...Ch. 31 - GO An alternating emf source with a variable...Ch. 31 - SSM WWW An RLC circuit such as that of Fig. 31-7...Ch. 31 - Prob. 48PCh. 31 - GO In Fig. 31-33, a generator with an adjustable...Ch. 31 - An alternating emf source with a variable...Ch. 31 - SSM The fractional half-width d of a resonance...Ch. 31 - An ac voltmeter with large impedance is connected...Ch. 31 - SSM An air conditioner connected to a 120 V rms ac...Ch. 31 - What is the maximum value of an ac voltage whose...Ch. 31 - What direct current will produce the same amount...Ch. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - For Fig. 31 -35, show that the average rate at...Ch. 31 - GO In Fig. 31-7, R = 15.0 , C = 4.70 F, and L =...Ch. 31 - Prob. 60PCh. 31 - SSM WWW Figure 31-36 shows an ac generator...Ch. 31 - Prob. 62PCh. 31 - SSM ILW A transformer has 500 primary turns and 10...Ch. 31 - Prob. 64PCh. 31 - An ac generator provides emf to a resistive load...Ch. 31 - In Fig. 31-35, let the rectangular box on the left...Ch. 31 - GO An ac generator produces emf = m sindt /4,...Ch. 31 - A series RLC circuit is driven by a generator at a...Ch. 31 - A generator of frequency 3000 Hz drives a series...Ch. 31 - A 45.0 mH inductor has a reactance of 1.30 k. a...Ch. 31 - An RLC circuit is driven by a generator with an...Ch. 31 - A series RLC circuit is driven in such a way that...Ch. 31 - A capacitor of capacitance 158 f and an inductor...Ch. 31 - An oscillating LC circuit has an inductance of...Ch. 31 - For a certain driven series RLC circuit, the...Ch. 31 - A L5D F capacitor has a capacitive re ac lance of...Ch. 31 - Prob. 77PCh. 31 - An electric motor connected to a 120 V, 60.0 Hz ac...Ch. 31 - SSM a In an oscillating LC circuit in terms of the...Ch. 31 - A series RLC circuit is driven by an alternating...Ch. 31 - SSM In a certain series RLC circuit being driven...Ch. 31 - A 1.50 mH inductor in an oscillating LC circuit...Ch. 31 - A generator with an adjustable frequency of...Ch. 31 - A series RLC circuit has a resonant frequency of...Ch. 31 - SSM An LC circuit oscillates at a frequency of...Ch. 31 - When under load and operating at an rms voltage of...Ch. 31 - The ac generator in Fig. 31-39 supplies 120 V at...Ch. 31 - In an oscillating LC circuit, L = 8.00 mH and C =...Ch. 31 - Prob. 89PCh. 31 - What capacitance would you connect across a 1.30...Ch. 31 - A series circuit with resistor inductor ...Ch. 31 - Prob. 92PCh. 31 - When the generator emf in Sample Problem 31.07 is...
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- In a purely inductive AC circuit as shown in Figure P32.6, Vmax = 100 V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) What If? At what angular frequency is the maximum current 2.50 A? Figure P32.6 Problem 6 and 7.arrow_forwardA series RLCcircuit contains a 20.0- resistor, a 0.750-F capacitor, and a 120-mH inductor. (i) 11 a sinusoidally varying rms voltage of 120 V at f = 500 Hz is applied across this combination of elements, what is the rms current in the circuit? (a) 2.33 A (b) 6.00 A (c) 10.0 A (d) 17.0 A (e) none of those answers (ii) What If? W hat is the rms current in the circuit when operating at its resonance frequency? Choose from the same possibilities as in part (i).arrow_forwardCan a circuit e1eent have both capacitance and inductance?arrow_forward
- A series RLC circuit has resistance R = 50.0 and inductance L. = 0.500 H. (a) Find the circuits capacitance C if the voltage source operates at a frequency of f = 60.0 Hz and the impedance is Z = R = 50.0 . (b) What is the phase angle between the current and the voltage?arrow_forwardIn an RLC series circuit, can the voltage measured across the capacitor be greater than the voltage of the source? Answer the same question for the voltage across the inductor.arrow_forwardAn RLC series circuit consists of a 50 resistor, a 200F capacitor, and a 120-mN inductor whose coil has a resistance of 20. The source for the circuit has an tins emf of 240 V at a frequency of 60 Hz. Calculate the tins voltages across the (a) resistor, (b) capacitor, and (c) inductor.arrow_forward
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- A series RLC circuit is driven in such a way that the maximum voltage across the inductor is 1.50 times the maximum voltage across the capacitor and 2.10 times the maximum voltage across the resistor. (a) What is o for the circuit? The resistance is 51.8 Q and the current amplitude is 150 mA. (b) What is the amplitude of the driving emf? (a) Number i Units (b) Number i Unitsarrow_forwardIn an RLC circuit such as that of the figure assume that R = 4.21 Ω, L = 78.5 mH, fd = 49.9 Hz, and εm = 38.0 V. For what values of the capacitance would the average rate at which energy is dissipated in the resistance be (a) a maximum and minimum? What are (b) the maximum dissipation rate and the corresponding phase angle and power factor? What are (c) the minimum dissipation rate and the corresponding phase angle and power factor?arrow_forward7 An alternating emf source with a certain emf amplitude is connected, in turn, to a resistor, a capacitor, and then an inductor. Once connected to one of the devices, the driving fre- quency fa is varied and the ampli- tude I of the resulting current through the device is measured and plotted. Which of the three plots in Fig. 31-22 corresponds to which of the three devices? fa Figure 31-22 Question 7.arrow_forward
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