Using the figure be below, a) Calculate P3 (in W). and b) Find the total power (in W) supplied by the source.

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Using the figure be below, a) Calculate P3 (in W). and b) Find the total power (in W) supplied by the source.

The image depicts an electrical circuit diagram designed to analyze a series-parallel combination of resistors and the corresponding electric currents flowing through them. Here's a detailed transcription and explanation:

**Electrical Circuit Components:**

1. **Voltage Source**: 
   - A battery with a voltage of 12.0 V is connected to the circuit.

2. **Resistors in the Circuit**:
   - **R1**: 1.20 Ω
   - **R2**: 5.60 Ω
   - **R3**: 12.8 Ω

3. **Current Loops and Notations**:
   - The current flowing through R1 is denoted as \( I_1 \).
   - The current flowing through R2 is denoted as \( I_2 \).
   - The current flowing through R3 is denoted as \( I_3 \).

4. **Voltage Drops and Equations**:
   - \( V_1 \): Voltage drop across R1. It is to be calculated.
   - \( V_p = V - V_1 \): This represents the voltage in the portion of the circuit exclusive of \( V_1 \). This voltage needs to be determined as well.

**Circuit Configuration**:

- The circuit starts with the 12.0 V voltage source, and the current is directed from the positive terminal into the loop.
- Resistors R1, R2, and R3 are arranged such that R2 and R3 form a parallel combination, which then combines in series with R1.
- The current entering the circuit (\( I_1 \)) passes through R1 first, causing a voltage drop labeled \( V_1 \).
- After R1, the current splits into two branches: one through R2 and another through R3. 
- The combination of R2 and R3 as parallel resistors influences the overall current flow and resultant voltage drops in each branch.

**Purpose of the Diagram**:

This circuit diagram is typically used to apply Kirchhoff's voltage and current laws to determine unknown values, such as \( I_1, I_2, I_3, V_1, \) and \( V_p \). Students or users may calculate these values using the known resistances and supplied voltage, enhancing understanding of series and parallel circuits.
Transcribed Image Text:The image depicts an electrical circuit diagram designed to analyze a series-parallel combination of resistors and the corresponding electric currents flowing through them. Here's a detailed transcription and explanation: **Electrical Circuit Components:** 1. **Voltage Source**: - A battery with a voltage of 12.0 V is connected to the circuit. 2. **Resistors in the Circuit**: - **R1**: 1.20 Ω - **R2**: 5.60 Ω - **R3**: 12.8 Ω 3. **Current Loops and Notations**: - The current flowing through R1 is denoted as \( I_1 \). - The current flowing through R2 is denoted as \( I_2 \). - The current flowing through R3 is denoted as \( I_3 \). 4. **Voltage Drops and Equations**: - \( V_1 \): Voltage drop across R1. It is to be calculated. - \( V_p = V - V_1 \): This represents the voltage in the portion of the circuit exclusive of \( V_1 \). This voltage needs to be determined as well. **Circuit Configuration**: - The circuit starts with the 12.0 V voltage source, and the current is directed from the positive terminal into the loop. - Resistors R1, R2, and R3 are arranged such that R2 and R3 form a parallel combination, which then combines in series with R1. - The current entering the circuit (\( I_1 \)) passes through R1 first, causing a voltage drop labeled \( V_1 \). - After R1, the current splits into two branches: one through R2 and another through R3. - The combination of R2 and R3 as parallel resistors influences the overall current flow and resultant voltage drops in each branch. **Purpose of the Diagram**: This circuit diagram is typically used to apply Kirchhoff's voltage and current laws to determine unknown values, such as \( I_1, I_2, I_3, V_1, \) and \( V_p \). Students or users may calculate these values using the known resistances and supplied voltage, enhancing understanding of series and parallel circuits.
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