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Which of the following statements is true about the circuit shown? O A V½ >A V3 >A Vị AV = 60.0 V R, = 5.0 0 R2 = 9.0 0 R3 = 6.0 0 O AV =A V½ =A V3 O AV¼ >A V½ >A V3 O AV >A V3 >A V½

Which of the following statements is true about the circuit shown? O A V½ >A V3 >A Vị AV = 60.0 V R, = 5.0 0 R2 = 9.0 0 R3 = 6.0 0 O AV =A V½ =A V3 O AV¼ >A V½ >A V3 O AV >A V3 >A V½

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Which of the following statements is true about the circuit shown?

### Understanding Electrical Circuits #### Question: Which of the following statements is true about the circuit shown? #### Options: - ○ △V₃ > △ V₃ > △ V₁ - ○ △ V₁ = △ V₂ = △ V₃ - ○ △ V₁ > △ V₂ > △ V₃ - ○ △ V₁ > △ V₃ > △ V₂ #### Diagram: The circuit diagram consists of a power source with a voltage of ΔV = 60.0 V connected to three resistors. The configuration of the circuit is as follows: - The first resistor (R₁) has a resistance of 5.0 Ω. - The second resistor (R₂) has a resistance of 9.0 Ω and is in parallel with the third resistor. - The third resistor (R₃) has a resistance of 6.0 Ω and is in parallel with the second resistor. When analyzing the circuit, note that the voltage across resistors in parallel is the same, and the total voltage drop across the resistors in series adds up to the total voltage provided by the source. ### Further Analysis: To correctly analyze which option is true: 1. **Voltage Across Parallel Resistors (R₂ and R₃):** - Since R₂ and R₃ are in parallel, the voltage across them (△V₂ and △V₃) is the same. - Thus, △V₂ = △V₃. 2. **Voltage Across Series Resistor (R₁):** - Resistor R₁ is in series with the parallel combination of R₂ and R₃. - The voltage drop across R₁ (△V₁) is measured separately and must account for the total supplied voltage minus the voltage across the parallel combination due to the properties of series circuits. According to the provided circuit, for a true statement, option 2 (△ V₁ = △ V₂ = △ V₃) is correct, which represents that the voltage across all components is equal due to the parallel configuration and series rule. This content helps illustrate the behavior of electrical currents and voltages in complex circuits. Through these principles, students can better understand the fundamental concepts of electrical engineering and circuit design.
Transcribed Image Text:### Understanding Electrical Circuits #### Question: Which of the following statements is true about the circuit shown? #### Options: - ○ △V₃ > △ V₃ > △ V₁ - ○ △ V₁ = △ V₂ = △ V₃ - ○ △ V₁ > △ V₂ > △ V₃ - ○ △ V₁ > △ V₃ > △ V₂ #### Diagram: The circuit diagram consists of a power source with a voltage of ΔV = 60.0 V connected to three resistors. The configuration of the circuit is as follows: - The first resistor (R₁) has a resistance of 5.0 Ω. - The second resistor (R₂) has a resistance of 9.0 Ω and is in parallel with the third resistor. - The third resistor (R₃) has a resistance of 6.0 Ω and is in parallel with the second resistor. When analyzing the circuit, note that the voltage across resistors in parallel is the same, and the total voltage drop across the resistors in series adds up to the total voltage provided by the source. ### Further Analysis: To correctly analyze which option is true: 1. **Voltage Across Parallel Resistors (R₂ and R₃):** - Since R₂ and R₃ are in parallel, the voltage across them (△V₂ and △V₃) is the same. - Thus, △V₂ = △V₃. 2. **Voltage Across Series Resistor (R₁):** - Resistor R₁ is in series with the parallel combination of R₂ and R₃. - The voltage drop across R₁ (△V₁) is measured separately and must account for the total supplied voltage minus the voltage across the parallel combination due to the properties of series circuits. According to the provided circuit, for a true statement, option 2 (△ V₁ = △ V₂ = △ V₃) is correct, which represents that the voltage across all components is equal due to the parallel configuration and series rule. This content helps illustrate the behavior of electrical currents and voltages in complex circuits. Through these principles, students can better understand the fundamental concepts of electrical engineering and circuit design.
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