R + VL(t)- + VR(t) - + vc(t) – For a phasor circuit with w-1000 radls that has an inductor, resistor, and capacitor in series, the phase of the voltage across the resistor will the phase of the voltage across the inductor by 90 degrees. Choose the best answer that completes the blank above. Selected Answer: b. lead

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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### Transcription for Educational Website

**Circuit Diagram:**
The image displays a series RLC circuit which includes an inductor (L), resistor (R), and capacitor (C) connected in series. The voltages across these components are labeled as \( V_L(t) \), \( V_R(t) \), and \( V_C(t) \) respectively, with the current through the circuit labeled as \( i_L(t) \).

**Problem Statement:**
For a phasor circuit with angular frequency \( \omega = 1000 \, \text{rad/s} \) that has an inductor, resistor, and capacitor in series, the phase of the voltage across the resistor will _________ the phase of the voltage across the inductor by 90 degrees.

**Options:**
Choose the best answer that completes the blank above.
- **Selected Answer:** b. lead

---

**Question 3:**

Given that a resistor \( R = 3 \, \text{Ohms} \) and inductor \( L = 3 \, \text{Henry} \) are in series with a sinusoidal voltage source, \( v(t) = \sin(6t) \).

- Determine the equivalent impedance, \( Z_{\text{eq}} = X + jY \) and convert to polar/phasor form: \( Z = |Z| \angle \theta \).

- Enter **ONLY** the magnitude of \( |Z| \). Round your answer to the nearest single digit decimal place.
Transcribed Image Text:### Transcription for Educational Website **Circuit Diagram:** The image displays a series RLC circuit which includes an inductor (L), resistor (R), and capacitor (C) connected in series. The voltages across these components are labeled as \( V_L(t) \), \( V_R(t) \), and \( V_C(t) \) respectively, with the current through the circuit labeled as \( i_L(t) \). **Problem Statement:** For a phasor circuit with angular frequency \( \omega = 1000 \, \text{rad/s} \) that has an inductor, resistor, and capacitor in series, the phase of the voltage across the resistor will _________ the phase of the voltage across the inductor by 90 degrees. **Options:** Choose the best answer that completes the blank above. - **Selected Answer:** b. lead --- **Question 3:** Given that a resistor \( R = 3 \, \text{Ohms} \) and inductor \( L = 3 \, \text{Henry} \) are in series with a sinusoidal voltage source, \( v(t) = \sin(6t) \). - Determine the equivalent impedance, \( Z_{\text{eq}} = X + jY \) and convert to polar/phasor form: \( Z = |Z| \angle \theta \). - Enter **ONLY** the magnitude of \( |Z| \). Round your answer to the nearest single digit decimal place.
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