Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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Question
Chapter 30, Problem 1Q
(a)
To determine
The arrangement of two flat circular coils so that their mutual inductance was greatest.
(a)
Expert Solution
Answer to Problem 1Q
The two circular coils has to place close together and along the same axis.
Explanation of Solution
The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.
Conclusion:
Therefore, the two circular coils has to place close together and along the same axis.
(b)
To determine
The arrangement of two flat circular coils so that their mutual inductance was least.
(b)
Expert Solution
Answer to Problem 1Q
Two circular coils has to place close together with their faces perpendicular to each other.
Explanation of Solution
The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.
Conclusion:
Therefore, two circular coils has to place close together with their faces perpendicular to each other.
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
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NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
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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
Chapter 30 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 30 - Prob. 1QCh. 30 - Prob. 2QCh. 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 - 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. 4PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - (II) (a) What is the rms current in a series LR...Ch. 30 - (I) What is the resonant frequency of the LRC...Ch. 30 - At time t = 0, the switch in the circuit shown in...Ch. 30 - Prob. 70GPCh. 30 - Show that the fraction of electromagnetic energy...
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