Explanation 1) Concept: Using Eq.31-28 and Eq.31-29, we can find whether the phase constant is positive or negative. Using Eq.31-76 and from vector diagram of emf ε and current I , we can find whether L should be increased or decreased to increase the rate at which energy is transferred to the resistive load, and whether C should be increased or decreased instead. 2) Formula: i) From Eq.31-28, the alternating emf is ε = ε m sin ⁡ ω d t ii) The current driven in the circuit is i = I s i n ω d t - ϕ iii) The average power is given by P a v g = ε r m s I r m s c o s ϕ 3) Given: i) The current is i ii) Driving emf is ε . iii) Fig.31-23. 4) Calculations: From Eq.31-28, the alternating emf is ε = ε m sin ⁡ ω d t … … … … … … … … … … … . … … … … … … … … … … . … … … … … … ( 31 - 28 ) The current driven in the circuit is i = I s i n ω d t - ϕ … … … … … … … … … … … … … … … … … … … … … … … … … … … ( 31 - 29 ) a) From Fig.31-23, we can see that the i curve is shifted to the right. Therefore, the phase constant ϕ is positive. Thus, from Eq.31-28 and Eq.31-29, we can write that the current i lags emf ε .here, current is inductive

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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Chapter 31, Problem 9Q

To determine

To find:

a) The phase constant is positive or negative.

b) To increase the rate at which energy is transferred to the resistive load, should L be increased or decreased.

c) Should, instead C be increased or decreased.

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Chapter 31, Problem 8Q

Chapter 31, Problem 10Q

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Chapter 31 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

Ch. 31 - Figure 31-19 shows three oscillating LC circuits...Ch. 31 - Figure 31-20 shows graphs of capacitor voltage vc...Ch. 31 - Prob. 3Q Ch. 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. 6Q Ch. 31 - Prob. 7Q Ch. 31 - The values of the phase constant for four...Ch. 31 - Prob. 9Q Ch. 31 - Figure 31-24 shows three situations like those of...

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a) The phase constant is positive or negative. b) To increase the rate at which energy is transferred to the resistive load, should L be increased or decreased. c) Should, instead C be increased or decreased.

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To find: a) The phase constant is positive or negative. b) To increase the rate at which energy is transferred to the resistive load, should L be increased or decreased. c) Should, instead C be increased or decreased.

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Chapter 31 Solutions

To find:

a) The phase constant is positive or negative.

b) To increase the rate at which energy is transferred to the resistive load, should L be increased or decreased.

c) Should, instead C be increased or decreased.