E = 120 V 20° f = 2 kHz Branch R2-L S= S= ISI = P= Q= Branch C S= S= ISI = P= ZT Q= R₁ www 202 L untis Determine the total complex, apparent, real, and reactive power for each parallel branch. Branch R1 S= S= ISI = P= Q= units units units untis units units units untis units R₂ units units L 200 £2 80 mH с 0.02 μF units units units +j units units units

Introductory Circuit Analysis (13th Edition)
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**Circuit Diagram:**

The circuit consists of three parallel branches connected to an AC source with the following components:

1. **AC Source:**
   - Voltage: \( E = 120 \, \text{V} \, \angle 0^\circ \)
   - Frequency: \( f = 2 \, \text{kHz} \)

2. **Branch R1:**
   - Resistor \( R_1 = 2 \, \Omega \)

3. **Branch R2-L:**
   - Resistor \( R_2 = 200 \, \Omega \)
   - Inductor \( L = 80 \, \text{mH} \)

4. **Branch C:**
   - Capacitor \( C = 0.02 \, \mu\text{F} \)

The circuit diagram depicts these components arranged in parallel, underlining that they are connected directly across the power supply.

**Power Calculations:**

The task is to determine the total complex, apparent, real, and reactive power for each parallel branch.

**Branch R1 Calculations:**
- Complex Power (S): 
  - \( S = \) [Magnitude] \( \angle \) [Phase angle] 
  - \( S = \) [Real part] \( + j \) [Imaginary part]
- Apparent Power (\(|S|\)): 
- Real Power (\(P\)): 
- Reactive Power (\(Q\)): 

**Branch R2-L Calculations:**
- Complex Power (S): 
  - \( S = \) [Magnitude] \( \angle \) [Phase angle] 
  - \( S = \) [Real part] \( + j \) [Imaginary part]
- Apparent Power (\(|S|\)): 
- Real Power (\(P\)): 
- Reactive Power (\(Q\)): 

**Branch C Calculations:**
- Complex Power (S): 
  - \( S = \) [Magnitude] \( \angle \) [Phase angle] 
  - \( S = \) [Real part] \( + j \) [Imaginary part]
- Apparent Power (\(|S|\)): 
- Real Power (\(P\)): 
- Reactive Power (\(Q\)): 

Populate the filled-in values for each calculation with appropriate units (e.g., volt-amperes, watts, vars).
Transcribed Image Text:**Circuit Diagram:** The circuit consists of three parallel branches connected to an AC source with the following components: 1. **AC Source:** - Voltage: \( E = 120 \, \text{V} \, \angle 0^\circ \) - Frequency: \( f = 2 \, \text{kHz} \) 2. **Branch R1:** - Resistor \( R_1 = 2 \, \Omega \) 3. **Branch R2-L:** - Resistor \( R_2 = 200 \, \Omega \) - Inductor \( L = 80 \, \text{mH} \) 4. **Branch C:** - Capacitor \( C = 0.02 \, \mu\text{F} \) The circuit diagram depicts these components arranged in parallel, underlining that they are connected directly across the power supply. **Power Calculations:** The task is to determine the total complex, apparent, real, and reactive power for each parallel branch. **Branch R1 Calculations:** - Complex Power (S): - \( S = \) [Magnitude] \( \angle \) [Phase angle] - \( S = \) [Real part] \( + j \) [Imaginary part] - Apparent Power (\(|S|\)): - Real Power (\(P\)): - Reactive Power (\(Q\)): **Branch R2-L Calculations:** - Complex Power (S): - \( S = \) [Magnitude] \( \angle \) [Phase angle] - \( S = \) [Real part] \( + j \) [Imaginary part] - Apparent Power (\(|S|\)): - Real Power (\(P\)): - Reactive Power (\(Q\)): **Branch C Calculations:** - Complex Power (S): - \( S = \) [Magnitude] \( \angle \) [Phase angle] - \( S = \) [Real part] \( + j \) [Imaginary part] - Apparent Power (\(|S|\)): - Real Power (\(P\)): - Reactive Power (\(Q\)): Populate the filled-in values for each calculation with appropriate units (e.g., volt-amperes, watts, vars).
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