2. The three loads in Figure 2 are connected in parallel and the voltage across them is Vo 10020 V (rms). The loads can be described as follows: L1: is absorbing 150 W at a power factor of 0.75 leading. L2: is absorbing 250 VA at a power factor of 1. L3: is a 50 2 in parallel with an inductance whose reactance is 50 M. Find: =
2. The three loads in Figure 2 are connected in parallel and the voltage across them is Vo 10020 V (rms). The loads can be described as follows: L1: is absorbing 150 W at a power factor of 0.75 leading. L2: is absorbing 250 VA at a power factor of 1. L3: is a 50 2 in parallel with an inductance whose reactance is 50 M. Find: =
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![### Problem Statement:
The three loads in Figure 2 are connected in parallel, and the voltage across them is \( V_o = 100\angle 0 \, V \, (\text{rms}) \). The loads are described as follows:
- **L1**: Absorbing 150 W at a power factor of 0.75 leading.
- **L2**: Absorbing 250 VA at a power factor of 1.
- **L3**: 50 \(\Omega\) in parallel with an inductance whose reactance is 50 \(\Omega\).
#### Objectives:
Find:
a. The impedance of load 1 (L1) and load 2 (L2).
b. The amplitude and phase of the voltage \( V_g \).
### Figure 2 Diagram Explanation:
- **Circuit Components**:
- A voltage source labeled \( V_g \).
- An inductor with a reactance of \( j20 \, \Omega \).
- Three parallel loads \( L1 \), \( L2 \), and \( L3 \).
- **Connections**:
- The inductor is connected in series with the parallel loads.
- The voltage across the loads is indicated as \( V_o \).
The problem requires calculating electrical impedance values and understanding complex power relationships in AC circuits.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feba62e94-2882-468b-8003-ddd4740b0ffa%2F8c534f23-8a00-47a7-b5a0-d7aa4c87d332%2Fygs2owb_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
The three loads in Figure 2 are connected in parallel, and the voltage across them is \( V_o = 100\angle 0 \, V \, (\text{rms}) \). The loads are described as follows:
- **L1**: Absorbing 150 W at a power factor of 0.75 leading.
- **L2**: Absorbing 250 VA at a power factor of 1.
- **L3**: 50 \(\Omega\) in parallel with an inductance whose reactance is 50 \(\Omega\).
#### Objectives:
Find:
a. The impedance of load 1 (L1) and load 2 (L2).
b. The amplitude and phase of the voltage \( V_g \).
### Figure 2 Diagram Explanation:
- **Circuit Components**:
- A voltage source labeled \( V_g \).
- An inductor with a reactance of \( j20 \, \Omega \).
- Three parallel loads \( L1 \), \( L2 \), and \( L3 \).
- **Connections**:
- The inductor is connected in series with the parallel loads.
- The voltage across the loads is indicated as \( V_o \).
The problem requires calculating electrical impedance values and understanding complex power relationships in AC circuits.
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Step 1: Determine the given variables:-
VIEWStep 2: Redraw the circuit diagram-
VIEWStep 3: (a) Calculating impedance of load 1-
VIEWStep 4: (a) Calculating impedance of load 2-
VIEWStep 5: Calculating the impedance and current of load 3
VIEWStep 6: (b) The amplitude and the phase of the voltage Vg
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