Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 25.4, Problem 25.6GI
All resistors in the figure have the same value and the battery is ideal. If an ideal voltmeter is connected between points A and B. will it read (a) 10 V, (b) between 5 and 10 V, (c) 5 V, (d) between 0 and 5 V, or (e) 0 V?
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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 25 Solutions
Essential University Physics (3rd Edition)
Ch. 25.1 - The figure shows three circuits. Which are...Ch. 25.2 - Rank front highest to lowest the voltages across...Ch. 25.2 - The figure shows all four possible combinations of...Ch. 25.2 - The figure shows a circuit with three identical...Ch. 25.3 - Which circuit(s) cannot be analyzed using series...Ch. 25.4 - All resistors in the figure have the same value...Ch. 25.5 - A capacitor is charged to 12 V and then connected...Ch. 25 - Are household electrical outlets connected in...Ch. 25 - All the resistors in Fig. 25.24 have the same...Ch. 25 - Can the voltage across a batterys terminals differ...
Ch. 25 - Can the voltage across a batterys terminals he...Ch. 25 - In some cities, streetlights are wired in such a...Ch. 25 - When the switch in Fig. 25.25 is open, whats the...Ch. 25 - Two identical resistors in series dissipate equal...Ch. 25 - When a large electric load such as a washing...Ch. 25 - How would you connect a pair of equal resistors...Ch. 25 - You have a battery whose voltage and internal...Ch. 25 - A student whos confused about voltage and current...Ch. 25 - A student whos confused about voltage and current...Ch. 25 - Sketch a circuit diagram for a circuit that...Ch. 25 - Sketch a diagram for a circuit consisting of two...Ch. 25 - Resistors R1 and R2 are in series, and the series...Ch. 25 - Whats the emf of a battery that delivers 27 J of...Ch. 25 - A 1.5-V battery stores 4.5 kJ of energy. How long...Ch. 25 - If you accidentally leave your car headlights...Ch. 25 - A 47-k resistor and a 39-k resistor are in...Ch. 25 - What resistance should you place in parallel with...Ch. 25 - A defective starter motor draws 300 A from a cars...Ch. 25 - Find the internal resistance of the battery in...Ch. 25 - When a 9-V battery is temporarily short-circuited,...Ch. 25 - You have a 1.0-, a 2.0-, and a 3.0- resistor. What...Ch. 25 - Find all three currents in the circuit of Fig....Ch. 25 - Prob. 26ECh. 25 - Find all three currents in the circuit of Fig....Ch. 25 - Prob. 28ECh. 25 - An ammeter with 100- resistance is inserted in the...Ch. 25 - A new mechanic foolishly connects an ammeter with...Ch. 25 - Show that the quantity RC has the units of time...Ch. 25 - If capacitance is in F, what will he the units of...Ch. 25 - Show that a capacitor is charged to approximately...Ch. 25 - An uncharged 10-F capacitor and a 470-k resistor...Ch. 25 - Find an expression for the voltage across the...Ch. 25 - In Fig. 25.28, all resistors have the same value,...Ch. 25 - In Fig. 25.28, take all resistors to be 1 k Find...Ch. 25 - Three 1.5-V batteries, with internal resistances...Ch. 25 - A partially discharged car battery can be modeled...Ch. 25 - Your company is overstocked on 50- , 12-W...Ch. 25 - Prob. 41PCh. 25 - How many 100-W, 120-V lightbulbs can be connected...Ch. 25 - You company is designing a battery-based backup...Ch. 25 - Take = 12 V and R1 = 270 in Fig. 25.4. (a) Whats...Ch. 25 - In Fig. 25.29, R1 is a variable resistor and the...Ch. 25 - In the circuit of Fig. 25.30, find (a) the current...Ch. 25 - In Fig. 25.30, how much power is dissipated in the...Ch. 25 - Whats the ammeter reading in Fig. 25.31? FIGURE...Ch. 25 - In Fig. 25.32, find the equivalent resistance...Ch. 25 - Find all three currents in the circuit of Fig....Ch. 25 - The voltage across the 30-k resistor in Fig. 25.33...Ch. 25 - In Fig. 25.34, what are the meter readings when an...Ch. 25 - A resistor draws 1.00 A from an ideal 12.0-V...Ch. 25 - The voltage across a charging capacitor in an RC...Ch. 25 - Youre designing an external defibrillator that...Ch. 25 - A capacitor is charged until it holds 5.0 J of...Ch. 25 - A capacitor is charged until it holds 5.0 J of...Ch. 25 - In Fig. 25.35 the 2.0-F capacitor is charged to...Ch. 25 - For the circuit of Example 25.6, take = 100 V,...Ch. 25 - In Fig. 25.36, the switch is initially open and...Ch. 25 - Prob. 61PCh. 25 - An ammeter with resistance 1.42 is connected...Ch. 25 - In Fig. 25.37, take 1 = 12.0 V, 2 = 6.00 V, 3 =...Ch. 25 - With all values except 2 as given in the preceding...Ch. 25 - The voltage on a charged capacitor is monitored...Ch. 25 - Find the resistance needed in an RC circuit to...Ch. 25 - Suppose the currents into and out of a circuit...Ch. 25 - Show that a battery delivers the most power when...Ch. 25 - Youre writing the instruction manual for a stereo...Ch. 25 - Show that only half the total energy drawn from a...Ch. 25 - Find the equivalent resistance between A and B for...Ch. 25 - Prob. 72PCh. 25 - Obtain an expression for the rate of increase...Ch. 25 - The circuit in Fig. 25.39 extends forever to the...Ch. 25 - Figure 25.40 on the next page shows the voltage...Ch. 25 - Figure 25.41 shows a portion of a circuit used to...Ch. 25 - An electrochemical impulse traveling along the...Ch. 25 - A parallel-plate capacitor has plates of area...Ch. 25 - Write the node and loop equations for the circuit...Ch. 25 - In Problem 60, take C1 = C2 = C, and find the...Ch. 25 - Youre about to purchase a battery. Normally,...Ch. 25 - In the circuit of Fig. 25.42 the switch is...Ch. 25 - BIO Stray voltage is a serious problem on dairy...Ch. 25 - BIO Stray voltage is a serious problem on dairy...Ch. 25 - BIO Stray voltage is a serious problem on dairy...Ch. 25 - BIO Stray voltage is a serious problem on dairy...
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