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Calculate the reactance of a 5.0-mH inductor at (a) 60 Hz, (b) 600 Hz, and (c) 6000 Hz.

Calculate the reactance of a 5.0-mH inductor at (a) 60 Hz, (b) 600 Hz, and (c) 6000 Hz.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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17) Calculate the reactance of a 5.0-mH inductor at (a) 60 Hz, (b) 600 Hz, and (c) 6000 Hz.

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### Transcription for Educational Website **Problem 17** - Inductance \( L = 50 \times 10^{-3} \, \text{H} \) **Given Frequencies:** - \( f_1 = 60 \, \text{Hz} \) - \( f_2 = 600 \, \text{Hz} \) - \( f_3 = 6000 \, \text{Hz} \) **Objective:** Calculate \( X_L \) (Inductive Reactance). **Formulas:** 1. \( X_L = \omega \cdot L \) 2. \( X_L = 2\pi f \cdot L \) **Notes:** - \( \omega \) is the angular frequency. - \( f \) is the frequency in hertz. - \( X_L \) represents the inductive reactance, which varies with frequency.
Transcribed Image Text:### Transcription for Educational Website **Problem 17** - Inductance \( L = 50 \times 10^{-3} \, \text{H} \) **Given Frequencies:** - \( f_1 = 60 \, \text{Hz} \) - \( f_2 = 600 \, \text{Hz} \) - \( f_3 = 6000 \, \text{Hz} \) **Objective:** Calculate \( X_L \) (Inductive Reactance). **Formulas:** 1. \( X_L = \omega \cdot L \) 2. \( X_L = 2\pi f \cdot L \) **Notes:** - \( \omega \) is the angular frequency. - \( f \) is the frequency in hertz. - \( X_L \) represents the inductive reactance, which varies with frequency.
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