Find the current in the 12 Ω resistor in the figure below. (R1 = 3.2 Ω, R2 = 6.8 Ω, ΔV = 23 V ) A

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Find the current in the 12 Ω resistor in the figure below. (R1 = 3.2 Ω, R2 = 6.8 Ω, ΔV = 23 V )
A

The image depicts an electrical circuit with a series and parallel combination of resistors connected to a voltage source denoted as ΔV. Here's a detailed breakdown of the circuit:

1. **Voltage Source (ΔV)**: 
   - This is represented by a red symbol at the bottom of the circuit. It provides the potential difference required to drive the current through the circuit.

2. **Resistors (R₁, R₂)**:
   - The circuit includes resistors labeled as R₁ and R₂.
   - There are three sets of resistors with specified resistance values.

3. **Resistors Configuration**:
   - **First Resistor (R₁)**:
     - This is a single resistor connected in series at the top left of the circuit.
   - **Parallel Connection**:
     - Below R₁, there is a parallel connection of two resistors. 
     - The resistors in parallel have values of 4.0 Ω and 12 Ω, respectively.
   - **Second Resistor (R₂)**:
     - Connected in parallel within its own loop near the bottom right.
     - This parallel configuration is composed of two resistors, each with a value of 2.0 Ω.

This configuration illustrates the principles of combining resistors in series and parallel to understand how they affect total resistance and current flow within an electric circuit.
Transcribed Image Text:The image depicts an electrical circuit with a series and parallel combination of resistors connected to a voltage source denoted as ΔV. Here's a detailed breakdown of the circuit: 1. **Voltage Source (ΔV)**: - This is represented by a red symbol at the bottom of the circuit. It provides the potential difference required to drive the current through the circuit. 2. **Resistors (R₁, R₂)**: - The circuit includes resistors labeled as R₁ and R₂. - There are three sets of resistors with specified resistance values. 3. **Resistors Configuration**: - **First Resistor (R₁)**: - This is a single resistor connected in series at the top left of the circuit. - **Parallel Connection**: - Below R₁, there is a parallel connection of two resistors. - The resistors in parallel have values of 4.0 Ω and 12 Ω, respectively. - **Second Resistor (R₂)**: - Connected in parallel within its own loop near the bottom right. - This parallel configuration is composed of two resistors, each with a value of 2.0 Ω. This configuration illustrates the principles of combining resistors in series and parallel to understand how they affect total resistance and current flow within an electric circuit.
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