Determine the total complex, apparent, average, and reactive power. Sketch the power triangle

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Determine the total complex, apparent, average, and reactive power. Sketch the power triangle

### Electrical Circuit Analysis

#### Diagram Explanation
The diagram illustrates an electrical circuit featuring the following components:
- **Source:** Provides a current of \(2 \, \text{A} \angle 0^\circ\) at a frequency of \(5 \, \text{kHz}\).
- **Components:**
  - **Resistor:** Consumes \(200 \, \text{W}\).
  - **Inductive Load:** \(400 \, \text{VAR (L)}\) indicating inductive reactive power.
  - **Capacitive Load:** \(600 \, \text{VAR (C)}\) indicating capacitive reactive power.
- **Voltage and Impedance:**
  - \(Z_T\) represents total impedance.
  - \(V_C\) implies voltage across the capacitor.

#### Tasks
**1. Calculate the Total Complex Power:**
- Use the form \(S_T = \_\_\_ \angle \_\_\_^\circ \) \(\_\_\_\_\_\_\) units.

**2. Calculate the Total Impedance and Power Factor:**
- \(Z_T = \_\_\_ \angle \_\_\_^\circ \) \(\_\_\_\_\_\_\) units.
- Power Factor (\(\text{pf}\)): Indicate whether it's lagging, leading, or unity.

**3. Calculate the Type and Value of Each Element in Each Series Load:**
- Resistance (\(R\)) = \_\_\_ units.
- Inductance (\(L\)) = \_\_\_ units.
- Capacitance (\(C\)) = \_\_\_ units.

Use the information above to solve for total complex power, impedance, power factor, and individual element values in the series load.
Transcribed Image Text:### Electrical Circuit Analysis #### Diagram Explanation The diagram illustrates an electrical circuit featuring the following components: - **Source:** Provides a current of \(2 \, \text{A} \angle 0^\circ\) at a frequency of \(5 \, \text{kHz}\). - **Components:** - **Resistor:** Consumes \(200 \, \text{W}\). - **Inductive Load:** \(400 \, \text{VAR (L)}\) indicating inductive reactive power. - **Capacitive Load:** \(600 \, \text{VAR (C)}\) indicating capacitive reactive power. - **Voltage and Impedance:** - \(Z_T\) represents total impedance. - \(V_C\) implies voltage across the capacitor. #### Tasks **1. Calculate the Total Complex Power:** - Use the form \(S_T = \_\_\_ \angle \_\_\_^\circ \) \(\_\_\_\_\_\_\) units. **2. Calculate the Total Impedance and Power Factor:** - \(Z_T = \_\_\_ \angle \_\_\_^\circ \) \(\_\_\_\_\_\_\) units. - Power Factor (\(\text{pf}\)): Indicate whether it's lagging, leading, or unity. **3. Calculate the Type and Value of Each Element in Each Series Load:** - Resistance (\(R\)) = \_\_\_ units. - Inductance (\(L\)) = \_\_\_ units. - Capacitance (\(C\)) = \_\_\_ units. Use the information above to solve for total complex power, impedance, power factor, and individual element values in the series load.
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