**Title:** Determining Inductive Reactance and RMS Current in an AC Circuit**Problem Statement:**An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made from the power source and a 45.6 H inductor, determine the inductive reactance and the rms current through the inductor.**Hints and Steps to Solve:**1. **Inductive Reactance (\(X_L\)) Calculation:** - Formula: \(X_L = 2\pi f L\) - Where: - \(f\) is the frequency (60.0 Hz) - \(L\) is the inductance (45.6 H) - **Input Field for Calculation:** - (a) The inductive reactance (in \(\Omega\)): \[ \boxed{} \]2. **RMS Current (\(I_{rms}\)) Calculation:** - Formula: \(I_{rms} = \frac{V_{rms}}{X_L}\) - Where: - \(V_{rms}\) is the rms voltage (120 V) - **Input Field for Calculation:** - (b) The rms current through the inductor (in A): \[ \boxed{} \, \text{A} \]**Additional Resources:**For further assistance, refer to the "Need Help?" section, where you can **Read It** for more detailed explanations.**Note:**- Ensure to use consistent units for calculations.- Revisit the concepts of inductive reactance and rms current if needed.

Given: The root mean square voltage of source Vrms=120 Volts. The frequency f = 60.0 Hz. Inductance…

An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made from the power source and a 45.6 H inductor, determine the inductive reactance and the rms current through the inductor. HINT (a) the inductive reactance (in 0) (b) the rms current through the inductor (in A)

An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made from the power source and a 45.6 H inductor, determine the inductive reactance and the rms current through the inductor. HINT (a) the inductive reactance (in 0) (b) the rms current through the inductor (in A)

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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Question

**Title:** Determining Inductive Reactance and RMS Current in an AC Circuit

**Problem Statement:**

An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made from the power source and a 45.6 H inductor, determine the inductive reactance and the rms current through the inductor.

**Hints and Steps to Solve:**

1. **Inductive Reactance (\(X_L\)) Calculation:**
- Formula: \(X_L = 2\pi f L\)
- Where:
- \(f\) is the frequency (60.0 Hz)
- \(L\) is the inductance (45.6 H)

- **Input Field for Calculation:**
- (a) The inductive reactance (in \(\Omega\)):
\[ \boxed{} \]

2. **RMS Current (\(I_{rms}\)) Calculation:**
- Formula: \(I_{rms} = \frac{V_{rms}}{X_L}\)
- Where:
- \(V_{rms}\) is the rms voltage (120 V)

- **Input Field for Calculation:**
- (b) The rms current through the inductor (in A):
\[ \boxed{} \, \text{A} \]

**Additional Resources:**

For further assistance, refer to the "Need Help?" section, where you can **Read It** for more detailed explanations.

**Note:**
- Ensure to use consistent units for calculations.
- Revisit the concepts of inductive reactance and rms current if needed.

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