E 100 V 290° ST= ST= ISTI P+= Q+= = Load 1 200 VAR (L) OW untis units units units Calculate the total current and power factor Is = pf = Load 2 600 VAR (C) 100 W lagging or leading Load 3 0 VAR 300 W units units units

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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solve for the total complex, apparent, average, and reactive power

**Circuit Diagram and Calculations**

### Circuit Description

The circuit consists of three loads connected to an alternating current (AC) source. The source voltage \( E \) is given as \( 100 \, V \angle 90^\circ \).

- **Load 1**: 
  - Reactive Power: \( 200 \, \text{VAR (inductive)} \)
  - Real Power: \( 0 \, \text{W} \)

- **Load 2**:
  - Reactive Power: \( 600 \, \text{VAR (capacitive)} \)
  - Real Power: \( 100 \, \text{W} \)

- **Load 3**:
  - Reactive Power: \( 0 \, \text{VAR} \)
  - Real Power: \( 300 \, \text{W} \)

### Calculation Fields

- **Apparent Power (S\_T):**
  - \( S_T = \_\_\_\_ \angle \_\_\_\_ \, \text{units} \)
  - \( S_T = \_\_\_\_ \, \text{units} + j \, \_\_\_\_ \, \text{units} \)

- **Current:**
  - \( |I_S| = \_\_\_\_ \, \text{units} \)

- **Real Power (P\_T):**
  - \( P_T = \_\_\_\_ \, \text{units} \)

- **Reactive Power (Q\_T):**
  - \( Q_T = \_\_\_\_ \, \text{units} \)

### Total Current and Power Factor

- **Total Current:**
  - \( I_S = \_\_\_\_ \angle \_\_\_\_ \, \text{units} \)

- **Power Factor (pf):**
  - \( pf = \) [choose: lagging or leading] \_\_\_\_

This layout represents a standard power system analysis involving both real and reactive components. Calculating these values is crucial for determining the performance and efficiency of the electrical system.
Transcribed Image Text:**Circuit Diagram and Calculations** ### Circuit Description The circuit consists of three loads connected to an alternating current (AC) source. The source voltage \( E \) is given as \( 100 \, V \angle 90^\circ \). - **Load 1**: - Reactive Power: \( 200 \, \text{VAR (inductive)} \) - Real Power: \( 0 \, \text{W} \) - **Load 2**: - Reactive Power: \( 600 \, \text{VAR (capacitive)} \) - Real Power: \( 100 \, \text{W} \) - **Load 3**: - Reactive Power: \( 0 \, \text{VAR} \) - Real Power: \( 300 \, \text{W} \) ### Calculation Fields - **Apparent Power (S\_T):** - \( S_T = \_\_\_\_ \angle \_\_\_\_ \, \text{units} \) - \( S_T = \_\_\_\_ \, \text{units} + j \, \_\_\_\_ \, \text{units} \) - **Current:** - \( |I_S| = \_\_\_\_ \, \text{units} \) - **Real Power (P\_T):** - \( P_T = \_\_\_\_ \, \text{units} \) - **Reactive Power (Q\_T):** - \( Q_T = \_\_\_\_ \, \text{units} \) ### Total Current and Power Factor - **Total Current:** - \( I_S = \_\_\_\_ \angle \_\_\_\_ \, \text{units} \) - **Power Factor (pf):** - \( pf = \) [choose: lagging or leading] \_\_\_\_ This layout represents a standard power system analysis involving both real and reactive components. Calculating these values is crucial for determining the performance and efficiency of the electrical system.
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