Find the current through the resistor R3 given that V=12.0V, R1=4.73Ω, R2=9.46Ω, R3=23.65Ω, and R4=14.19Ω. Group of answer choices 0.5585 A 4.2279 A 5.5585 A 2.1545 A 0.2495 A

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Find the current through the resistor R3 given that V=12.0V, R1=4.73Ω, R2=9.46Ω, R3=23.65Ω, and R4=14.19Ω.

Group of answer choices
0.5585 A
4.2279 A
5.5585 A
2.1545 A
0.2495 A
The image depicts an electrical circuit diagram featuring a combination of series and parallel resistors. 

Explanation of the Circuit Diagram:

1. **Voltage Source (V):** On the left side of the diagram, there is a voltage source denoted by 'V'. This provides the electrical energy to the circuit.

2. **Series Resistor (R1):** 
   - **R1** is connected directly in series with the voltage source.
   - The current from the voltage source flows through R1 before reaching the parallel section.

3. **Parallel Resistors (R2, R3, R4):** 
   - After R1, the circuit splits into three parallel branches, each containing one resistor: R2, R3, and R4.
   - These resistors are connected side by side, sharing the same two nodes, so the voltage across each is identical.
   - Each parallel resistor provides an alternate path for the current to flow.

4. **Circuit Layout:**
   - The circuit starts at the voltage source, passes through the series resistor (R1), and then enters the parallel arrangement of R2, R3, and R4.
   - After flowing through the parallel resistors, the paths converge and the circuit loops back to the voltage source to complete the circuit.

This configuration demonstrates how resistors can be arranged in a circuit to control the current and voltage distribution. The total resistance of the parallel section can be calculated using the formula for parallel resistors, and the overall circuit resistance is the sum of R1 and the equivalent resistance of the parallel group.
Transcribed Image Text:The image depicts an electrical circuit diagram featuring a combination of series and parallel resistors. Explanation of the Circuit Diagram: 1. **Voltage Source (V):** On the left side of the diagram, there is a voltage source denoted by 'V'. This provides the electrical energy to the circuit. 2. **Series Resistor (R1):** - **R1** is connected directly in series with the voltage source. - The current from the voltage source flows through R1 before reaching the parallel section. 3. **Parallel Resistors (R2, R3, R4):** - After R1, the circuit splits into three parallel branches, each containing one resistor: R2, R3, and R4. - These resistors are connected side by side, sharing the same two nodes, so the voltage across each is identical. - Each parallel resistor provides an alternate path for the current to flow. 4. **Circuit Layout:** - The circuit starts at the voltage source, passes through the series resistor (R1), and then enters the parallel arrangement of R2, R3, and R4. - After flowing through the parallel resistors, the paths converge and the circuit loops back to the voltage source to complete the circuit. This configuration demonstrates how resistors can be arranged in a circuit to control the current and voltage distribution. The total resistance of the parallel section can be calculated using the formula for parallel resistors, and the overall circuit resistance is the sum of R1 and the equivalent resistance of the parallel group.
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