**Problem Statement****Q:** Find the reactance of the inductor \( X_L \) in Ohms.**Input Box:** [A rectangle input box for users to input their answers.]---On this page, users are asked to find the reactance of an inductor, denoted as \( X_L \), and express it in Ohms. The reactance of an inductor can be calculated using the formula:\[ X_L = 2 \pi f L \]Where:- \( X_L \) is the inductive reactance in Ohms (Ω)- \( f \) is the frequency of the AC signal in Hertz (Hz)- \( L \) is the inductance in Henrys (H)Users should input their answers in the provided rectangular input box. ### LRC Series Circuit CalculationAn LRC series circuit is defined by the following parameters:- Inductance \( L = 170. \) mH (millihenries)- Resistance \( R = 36.0 \) Ohms- Voltage source \( V = 120. \) V (rms)- Frequency \( f = 60.0 \) Hz- Root mean square (rms) current \( I_{rms} = 2.00 \) A ### Understanding the components:- **Inductance (L):** It is the property of the circuit that opposes changes in current. - **Resistance (R):** It is the property that opposes the flow of current, causing energy dissipation as heat.- **Voltage source (V):** It provides the necessary electrical potential difference to drive the current through the circuit.- **Frequency (f):** It is the number of cycles per second of the alternating current (AC).- **RMS Current (\( I_{rms} \)):** It represents the effective value of varying current as if it were a constant direct current.### Explanation of Concepts:1. **Inductor (L):** - When AC flows through the inductor, it creates an inductive reactance (\( X_L \)) that resists the change in current. The inductive reactance is given by \( X_L = 2\pi f L \).2. **Resistor (R):** - The resistor provides resistance to current, and the voltage drop across the resistor is in phase with the current.3. **Capacitor (C):** - Although the capacitance is not mentioned here, capacitors typically create capacitive reactance (\( X_C \)) in AC circuits, given by \( X_C = \frac{1}{2\pi f C} \).4. **Total Impedance (Z):** - In an LRC circuit, the total impedance follows the relationship \( Z = \sqrt{R^2 + (X_L - X_C)^2 } \). - For the given circuit, based on the provided information, we assume capacitive reactance is negligible or not present.### Calculations:1. **Calculating Inductive Reactance (\( X_L \))**: \[ X_L = 2\pi f L \] Sub

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Answered: ries circuit (L = 170. mH, R = 36.0…

ries circuit (L = 170. mH, R = 36.0 Ohm) is driven by a 120. V (rms), f = 60.0 Hz ac power source. The nt of the system is Irms = 2.00 A.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter33: Alternating Current Circuits

Section: Chapter Questions

Problem 33.8OQ: A resistor, a capacitor, and an inductor are connected in series across an AC source. Which of the...

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