Explanation 1) Concept: Applying Ohm’s law and substituting the formula for angular frequency ω d , we can find the relation between current I and frequency f d , and using this relation, we can find which given plot corresponds to which given device. 2) Formulas: i) The angular frequency is given by ω d = 2 π f d ii) The alternating emf is ε m = V R = V C = V L iii) According to Ohm’s law, the current is given by I R = V R R 3) Given: i) The alternating emf source is connected in turn, to a resistor, a capacitor, and then an inductor. ii) The driving frequency is f d . iii) The amplitude of the resulting current is I . iv) Fig.31-22. 4) Calculations: The angular frequency is given by ω d = 2 π f d … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … ( 1 ) Since the alternating emf source is connected in turn, to a resistor, a capacitor, and then an inductor, the alternating emf is ε m = V R = V C = V L … … … … … … … … … … … … … … … … … … … … … … … … … … ( 2 ) For circuit with resistor R : According to Ohm’s law, the current is given by I R = V R R From, Eq.2, we get I R = ε m R Where ε m and R both are constant. Hence, the current I R is also constant. Therefore, from Fig.31-22, we can write that plot b corresponds to circuit with R . For circuit with capacitor C : According to Ohm’s law, the current is given by I C = V C X C Where, X C = 1 ω d C Substituting we get, I C = V C 1 ω d C I C = V C ω d C From Eq

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ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Chapter 31, Problem 7Q

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To which of the three devices do the given three plots in Fiq.31-22 that correspond?

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To which of the three devices do the given three plots in Fiq.31-22 that correspond?

Solution Summary: The author explains Ohm's law and the formula for angular frequency and frequency.

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To find: To which of the three devices do the given three plots in Fiq.31-22 that correspond?

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Chapter 31 Solutions

To find:

To which of the three devices do the given three plots in Fiq.31-22 that correspond?