Determine the following for the network below. Determine the total complex, apparent, real, and reactive power for each parallel branch. Branch R1 S = [S11mag] ∠ [S11_degrees]° units [S11_units] S = [P11] units [P11_units] + j [Q11] units [Q11_units] |S| = [S1] units [S1_units] P = [P1] units [P1_units] Q = [Q1] units [Q1_units]   Branch R2-L S = [S22mag] ∠ [S22_degrees]° units [S22_units] S = [P22] units [P22_units] + j [Q22] units [Q22_units] |S| = [S2] units [S2_units] P = [P2] units [P2_units] Q = [Q2] units [Q2_units]   Branch C S = [S33mag] ∠ [S33_degrees]° units [S33_units] S = [P33] units [P33_units] + j [Q33] units [Q33_units] |S| = [S3] units [S3_units] P = [P3] units [P3_units] Q = [Q3] units [Q3_units]

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 following for the network below.

Determine the total complex, apparent, real, and reactive power for each parallel branch.

Branch R1

S = [S11mag] ∠ [S11_degrees]° units [S11_units]

S [P11] units [P11_units] + j [Q11] units [Q11_units]

|S| = [S1] units [S1_units]

P [P1] units [P1_units]

Q [Q1] units [Q1_units]

 

Branch R2-L

S = [S22mag] ∠ [S22_degrees]° units [S22_units]

S [P22] units [P22_units] + j [Q22] units [Q22_units]

|S| = [S2] units [S2_units]

P [P2] units [P2_units]

Q [Q2] units [Q2_units]

 

Branch C

S = [S33mag] ∠ [S33_degrees]° units [S33_units]

S [P33] units [P33_units] + j [Q33] units [Q33_units]

|S| = [S3] units [S3_units]

P [P3] units [P3_units]

Q [Q3] units [Q3_units]

The image illustrates an AC circuit containing a sinusoidal voltage source and passive components. 

**Circuit Components and Configuration:**

1. **Voltage Source (E):**
   - The source provides an AC voltage of \( E = 120 \, \text{V} \angle 0^\circ \).
   - The frequency of the source is \( f = 2 \, \text{kHz} \).

2. **Resistors:**
   - \( R_1 = 2 \, \Omega \)
   - \( R_2 = 200 \, \Omega \)

3. **Inductor (L):**
   - \( L = 80 \, \text{mH} \)

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

**Circuit Analysis Elements:**

- The total impedance is represented by \( Z_T \).
- The current sourced from the voltage source is indicated by \( I_s \).
- The components \( R_2 \), \( L \), and \( C \) are in parallel with each other, and this parallel combination is in series with \( R_1 \).

**Grounding:**
- The circuit is grounded at the negative terminal of the voltage source.

This configuration is common for studying the behavior of RLC circuits in response to sinusoidal inputs, especially for analysis involving impedance and phasor calculations.
Transcribed Image Text:The image illustrates an AC circuit containing a sinusoidal voltage source and passive components. **Circuit Components and Configuration:** 1. **Voltage Source (E):** - The source provides an AC voltage of \( E = 120 \, \text{V} \angle 0^\circ \). - The frequency of the source is \( f = 2 \, \text{kHz} \). 2. **Resistors:** - \( R_1 = 2 \, \Omega \) - \( R_2 = 200 \, \Omega \) 3. **Inductor (L):** - \( L = 80 \, \text{mH} \) 4. **Capacitor (C):** - \( C = 0.02 \, \mu \text{F} \) **Circuit Analysis Elements:** - The total impedance is represented by \( Z_T \). - The current sourced from the voltage source is indicated by \( I_s \). - The components \( R_2 \), \( L \), and \( C \) are in parallel with each other, and this parallel combination is in series with \( R_1 \). **Grounding:** - The circuit is grounded at the negative terminal of the voltage source. This configuration is common for studying the behavior of RLC circuits in response to sinusoidal inputs, especially for analysis involving impedance and phasor calculations.
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