Learning Goal: To calculate power in an AC circuit using time-varying voltage and current functions. Before completing this tutorial, make sure you are familiar with instantaneous power, average power, and reactive power. Part A - Calculating average and reactive power I Calculate the average (P) and reactive (Q) power for the circuit element below. Consider, v(t) = 3.5 cos(600t – 120°) V and i(t) = 2.3 cos (600t +45°) A - Enter a numerical with three significant figures. ► View Available Hint(s) Submit v(t) i(t) P= ELEMENT W Q= VAR ?

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Learning Goal:**

To calculate power in an AC circuit using time-varying voltage and current functions. Before completing this tutorial, make sure you are familiar with instantaneous power, average power, and reactive power.

---

**Part A - Calculating average and reactive power I**

Calculate the average (P) and reactive (Q) power for the circuit element below.

Consider, \( v(t) = 3.5 \cos(600t - 120^\circ) \, \text{V} \) and \( i(t) = 2.3 \cos(600t + 45^\circ) \, \text{A} \)

Enter a numerical with three significant figures.

- **View Available Hint(s)**

**Diagram Explanation:**
- The diagram displays a circuit element denoted as "ELEMENT."
- A current \( i(t) \) is entering the element, and voltage \( v(t) \) is applied across it.
- There are input fields provided to enter the calculated average power (P) in watts (W) and reactive power (Q) in volt-amperes reactive (VAR).

**Action:**
- Use the given voltage and current functions to compute and enter the values for P and Q.

Press "Submit" after entering the values.
Transcribed Image Text:**Learning Goal:** To calculate power in an AC circuit using time-varying voltage and current functions. Before completing this tutorial, make sure you are familiar with instantaneous power, average power, and reactive power. --- **Part A - Calculating average and reactive power I** Calculate the average (P) and reactive (Q) power for the circuit element below. Consider, \( v(t) = 3.5 \cos(600t - 120^\circ) \, \text{V} \) and \( i(t) = 2.3 \cos(600t + 45^\circ) \, \text{A} \) Enter a numerical with three significant figures. - **View Available Hint(s)** **Diagram Explanation:** - The diagram displays a circuit element denoted as "ELEMENT." - A current \( i(t) \) is entering the element, and voltage \( v(t) \) is applied across it. - There are input fields provided to enter the calculated average power (P) in watts (W) and reactive power (Q) in volt-amperes reactive (VAR). **Action:** - Use the given voltage and current functions to compute and enter the values for P and Q. Press "Submit" after entering the values.
**Part B - Calculating Power Factor**

Calculate the power factor for the circuit element below. Consider:

\( v(t) = 3.5 \cos(600t - 120^\circ) \) V

\( i(t) = 2.3 \sin(600t + 45^\circ) \) A

**Diagram Explanation**

The diagram shows an electrical element with two inputs: voltage \( v(t) \) and current \( i(t) \). The voltage is noted with a positive (+) and negative (−) sign, indicating its polarity, and the current is directed into the element.

**Instructions**

Express your answer using three significant figures.

*Input box available for answer submission.*

\[ \text{pf} = \]

**Hint**

Option to view available hints.

**Submit Button for Answer**

---

**Part C**

Also identify if the power factor is leading, lagging, or neither leading nor lagging.

*Choices available:*

- The power factor is leading.
- The power factor is lagging.
- The power factor is neither leading nor lagging.

**Submit Button for Selection**
Transcribed Image Text:**Part B - Calculating Power Factor** Calculate the power factor for the circuit element below. Consider: \( v(t) = 3.5 \cos(600t - 120^\circ) \) V \( i(t) = 2.3 \sin(600t + 45^\circ) \) A **Diagram Explanation** The diagram shows an electrical element with two inputs: voltage \( v(t) \) and current \( i(t) \). The voltage is noted with a positive (+) and negative (−) sign, indicating its polarity, and the current is directed into the element. **Instructions** Express your answer using three significant figures. *Input box available for answer submission.* \[ \text{pf} = \] **Hint** Option to view available hints. **Submit Button for Answer** --- **Part C** Also identify if the power factor is leading, lagging, or neither leading nor lagging. *Choices available:* - The power factor is leading. - The power factor is lagging. - The power factor is neither leading nor lagging. **Submit Button for Selection**
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