Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780136139225
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Question
Chapter 30, Problem 34P
(a)
To determine
The resonant frequency of the oscillation.
(b)
To determine
The peak value of the current.
(c)
To determine
The maximum energy stored in the inductor.
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 30 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 30.1 - Prob. 1AECh. 30.1 - Prob. 1BECh. 30.3 - Prob. 1CECh. 30.4 - Show that L/R does have dimensions of lime. (See...Ch. 30.4 - Prob. 1EECh. 30.5 - Return to the Chapter-Opening Question, page 785,...Ch. 30.7 - At what frequency is the reactance of a 1.0-F...Ch. 30.7 - Prob. 1HECh. 30 - Prob. 1QCh. 30 - Prob. 2Q
Ch. 30 - Prob. 3QCh. 30 - Prob. 4QCh. 30 - If you are given a fixed length of wire, how would...Ch. 30 - Prob. 6QCh. 30 - Prob. 7QCh. 30 - Prob. 8QCh. 30 - What keeps an LC circuit oscillating even after...Ch. 30 - Is the ac current in the indicator always the same...Ch. 30 - Prob. 11QCh. 30 - In an ac LRC circuit, if XL XC, the circuit is...Ch. 30 - Prob. 13QCh. 30 - Under what conditions is the impedance in an LRC...Ch. 30 - Is it possible for the instantaneous power output...Ch. 30 - In an ac LRC circuit, does the power factor, cos,...Ch. 30 - Describe briefly how the frequency of the source...Ch. 30 - Prob. 18QCh. 30 - In an LRC circuit, the current and the voltage in...Ch. 30 - Compare the oscillations or an LRC circuit to the...Ch. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - (I) If the current in a 280-mH coil changes...Ch. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - (II) If the outer conductor of a coaxial cable has...Ch. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - (II) Ignoring any mutual inductance, what is the...Ch. 30 - (I) The magnetic field inside an air-filled...Ch. 30 - (I) Typical large values for electric and magnetic...Ch. 30 - (II) What is the energy density at the center of a...Ch. 30 - (II) Calculate the magnetic and electric energy...Ch. 30 - Prob. 19PCh. 30 - (II) Determine the total energy stored per unit...Ch. 30 - (II) Determine the total energy stored per unit...Ch. 30 - Prob. 22PCh. 30 - (II) How many time constants does it take for the...Ch. 30 - (II) It takes 2.56 ms for the current in an LR...Ch. 30 - Prob. 25PCh. 30 - (II) In the circuit of Fig. 3027, determine the...Ch. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - (II) A 12-V battery has been connected to an LR...Ch. 30 - Prob. 30PCh. 30 - (I) The variable capacitor in the tuner of an AM...Ch. 30 - Prob. 32PCh. 30 - (II) In some experiments, short distances are...Ch. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - (I) At what frequency will a 32.0-mH inductor have...Ch. 30 - (I) What is the reactance of a 9.2-F capacitor at...Ch. 30 - (I) Plot a graph of the reactance of a 1.0-F...Ch. 30 - (I) Calculate the reactance of, and rms current...Ch. 30 - (II) A resistor R is in parallel with a capacitor...Ch. 30 - Prob. 44PCh. 30 - (II) (a) What is the reactance of a 0.086-F...Ch. 30 - Prob. 46PCh. 30 - (II) A current I = 1.80 cos 377t (I in amps, t in...Ch. 30 - (I) A 10.0-k resistor is in series with a 26.0-mH...Ch. 30 - (I) A 75- resistor and a 6.8-F capacitor are...Ch. 30 - (I) For a 120-V, 60-Hz voltage, a current of 70 mA...Ch. 30 - (II) A 2.5-k resistor in series with a 420-mH...Ch. 30 - (II) (a) What is the rms current in a series RC...Ch. 30 - (II) An ac voltage source is connected in series...Ch. 30 - (II) Determine the total impedance, phase angle,...Ch. 30 - (II) (a) What is the rms current in a series LR...Ch. 30 - (II) A 35-mH inductor with 2.0- resistance is...Ch. 30 - (II) A 25-mH coil whose resistance is 0.80 is...Ch. 30 - (II) A 75-W lightbulb is designed to operate with...Ch. 30 - (II) In the LRC circuit or Fig. 3019, suppose I =...Ch. 30 - (II) An LRC series circuit with R = 150 , L = 25...Ch. 30 - (II) An LR circuit can be used as a phase shifter....Ch. 30 - (I) A 3800-pF capacitor is connected in series to...Ch. 30 - (I) What is the resonant frequency of the LRC...Ch. 30 - (II) An LRC circuit has L = 4.15 mH and R = 3.80...Ch. 30 - (II) The frequency of the ac voltage source (peak...Ch. 30 - (II) Capacitors made from piezoelectric materials...Ch. 30 - (II) (a) Determine a formula for the average power...Ch. 30 - (II) (a) Show that oscillation of charge Q on the...Ch. 30 - (II) A resonant circuit using a 220-nF capacitor...Ch. 30 - Prob. 70PCh. 30 - Prob. 71GPCh. 30 - Prob. 72GPCh. 30 - At time t = 0, the switch in the circuit shown in...Ch. 30 - Prob. 74GPCh. 30 - Prob. 75GPCh. 30 - Assuming the Earths magnetic field averages about...Ch. 30 - (a) For an underdamped LRC circuit, determine a...Ch. 30 - An electronic device needs to be protected against...Ch. 30 - Prob. 79GPCh. 30 - Prob. 80GPCh. 30 - An ac voltage source V=V0sin(t+90) is connected...Ch. 30 - A circuit contains two elements, but it is not...Ch. 30 - A 3.5-k resistor in series with a 440-mH inductor...Ch. 30 - (a) What is the rms current in on RC circuit if R...Ch. 30 - An inductance coil draws 2.5 A de when connected...Ch. 30 - The Q-value of a resonance circuit can be defined...Ch. 30 - Show that the fraction of electromagnetic energy...Ch. 30 - In a series LRC circuit, the inductance is 33mH,...Ch. 30 - Prob. 89GPCh. 30 - A voltage V = 0.95 sin 754t is applied to an LRC...Ch. 30 - Filler circuit. Figure 3033 shows a simple filler...Ch. 30 - Show that if the inductor L in the filter circuit...Ch. 30 - A resistor R, capacitor C, and inductor L are...Ch. 30 - Suppose a series LRC circuit has two resisiors, R1...Ch. 30 - Prob. 95GPCh. 30 - Prob. 96GPCh. 30 - You have a small electromagnet that consumes 350 W...Ch. 30 - An inductor L in series with a resistor R, driven...Ch. 30 - In a certain LRC series circuit, when the ac...Ch. 30 - Prob. 100GPCh. 30 - Prob. 101GPCh. 30 - For the circuit shown in Fig. 3038, show that if...Ch. 30 - (II) The RC circuit shown in Fig. 3039 is called a...Ch. 30 - (II) The RC circuit shown in Fig. 3040 is called a...Ch. 30 - (III) Write a computer program or use a...
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