Question in the attachment **Problem Statement:**A resistor \( R \) and a resistance-less coil \( L_1 = 97 \, \text{mH} \) are connected in series to an AC source with a frequency of \( 86.5 \, \text{Hz} \). An rms current \( I \) flows in the circuit. If the first coil is replaced by a second resistance-less coil \( L_2 = 4.78 \, \text{mH} \), the rms current increases to \( 2.18I \). Find \( R \) in \( \Omega \).**Explanation:**This problem involves solving for the resistance \( R \) in a circuit where the inductive reactance changes due to replacement of the coil. By analyzing the change in inductive reactance and the relationship with the frequency and resistance, the value of the resistor \( R \) can be determined.**Key Concepts:**- **Inductive Reactance**: \( X_L = 2\pi f L \)- **Ohm's Law in AC Circuits**: \( V = IR \)- **Reactance Change**: Understanding how reactance impacts current flow.The configuration change will affect the total impedance and consequently the current through the circuit, establishing the necessary equations to solve for \( R \).

Answered: Image /qna-images/answer/e42451db-efb0-4ea6-a228-39750db101c2.jpg

Resistor R and a resistanceless coil L1 = 97 mH are connected in series to an AC source with frequency 86.5 Hz, and an rms current / flows in the circuit. If the first coil is now replaced by a second resistanceless coil L2 = 4.78 mH, the rms current increases to 2.18/. Find R, in Q.

Resistor R and a resistanceless coil L1 = 97 mH are connected in series to an AC source with frequency 86.5 Hz, and an rms current / flows in the circuit. If the first coil is now replaced by a second resistanceless coil L2 = 4.78 mH, the rms current increases to 2.18/. Find R, in Q.

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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