**Problem Statement: Inductor in AC Circuit**When an inductor is connected to a 60.0 Hz source, it has an inductive reactance of 50.2 Ω. Determine the maximum current in the inductor (in Amperes) if it is connected to a 47.0 Hz source that produces a 110 V rms voltage.**Answer:**\[ \text{Maximum Current} (I_{\text{max}}) = \_\_\_ \text{ A} \]*Note: There is a text box provided for the answer.***Explanation:**To solve this problem, use the formula for inductive reactance (\(X_L\)):\[ X_L = 2 \pi f L \]Where:- \( f \) is the frequency of the AC source- \( L \) is the inductance of the coilGiven the existing reactance at 60.0 Hz, you can find \( L \) and then determine the new reactance at 47.0 Hz. Use Ohm's Law for AC circuits (\( V = I X_L \)) to find the current. Remember \( V \) here refers to the rms voltage, and \( I \) is the rms current related to the maximum current by \( I_{\text{max}} = \sqrt{2} \times I_{\text{rms}} \).**Equations to Consider:**1. \( X_L = 2 \pi f L \)2. \( I_{\text{rms}} = \frac{V_{\text{rms}}}{X_L} \)3. \( I_{\text{max}} = \sqrt{2} \times I_{\text{rms}} \)

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When an inductor is connected to a 60.0 Hz source it has an inductive reactance of 50.2 0. Determine the maximum current in the inductor (in A) if it is connected to a 47.0 Hz source that produces a 110 V rms voltage.

When an inductor is connected to a 60.0 Hz source it has an inductive reactance of 50.2 0. Determine the maximum current in the inductor (in A) if it is connected to a 47.0 Hz source that produces a 110 V rms voltage.

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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