Three resistors R, = 82.8 n, R, = 19.9 n, R, = 70.0 n, and two batteries ɛ, = 40.0 V, and E, = 365 V are connected as shown in the diagram belov R1 R2 R3 (a) What current flows through R,, R2, and R,? A A %3D A (b) What is the absolute value of the potential difference across R,, R,, and R,? I ||
Three resistors R, = 82.8 n, R, = 19.9 n, R, = 70.0 n, and two batteries ɛ, = 40.0 V, and E, = 365 V are connected as shown in the diagram belov R1 R2 R3 (a) What current flows through R,, R2, and R,? A A %3D A (b) What is the absolute value of the potential difference across R,, R,, and R,? I ||
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Chapter1: Units, Trigonometry. And Vectors
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![**Circuit Analysis with Resistors and Batteries**
In this exercise, we analyze a circuit consisting of three resistors and two batteries. The components of the circuit are as follows:
- Resistor \( R_1 = 82.8 \, \Omega \)
- Resistor \( R_2 = 19.9 \, \Omega \)
- Resistor \( R_3 = 70.0 \, \Omega \)
- Battery \( \mathcal{E}_1 = 40.0 \, \text{V} \)
- Battery \( \mathcal{E}_2 = 365 \, \text{V} \)
These components are connected in the circuit diagram, showing \( R_1 \) and \( R_2 \) in parallel with each other and \( R_3 \) in series with them.
**Questions:**
(a) What current flows through \( R_1 \), \( R_2 \), and \( R_3 \)?
- \( I_1 = \) [Fill in answer] A
- \( I_2 = \) [Fill in answer] A
- \( I_3 = \) [Fill in answer] A
(b) What is the absolute value of the potential difference across \( R_1 \), \( R_2 \), and \( R_3 \)?
- \( |\Delta V_{R1}| = \) [Fill in answer] V
- \( |\Delta V_{R2}| = \) [Fill in answer] V
- \( |\Delta V_{R3}| = \) [Fill in answer] V
**Diagram Explanation:**
The schematic shows two parallel branches containing one resistor each (\( R_1 \) and \( R_2 \)) connected between two nodes. Each branch is connected to batteries \( \mathcal{E}_1 \) and \( \mathcal{E}_2 \). A third resistor (\( R_3 \)) is connected in series in the circuit. The diagram assists in visualizing the potential paths and node connections for calculating current distributions and potential differences.
This setup prompts students to apply Kirchhoff’s rules and Ohm’s law for analysis. By calculating the unknown currents and potential differences, students develop skills for analyzing complex circuits.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7824f8d0-65fb-442c-84f7-7ea5547717e1%2F5093fabb-116f-4b6b-a34d-86c1ee376ff0%2Fzbnkrur_processed.png&w=3840&q=75)
Transcribed Image Text:**Circuit Analysis with Resistors and Batteries**
In this exercise, we analyze a circuit consisting of three resistors and two batteries. The components of the circuit are as follows:
- Resistor \( R_1 = 82.8 \, \Omega \)
- Resistor \( R_2 = 19.9 \, \Omega \)
- Resistor \( R_3 = 70.0 \, \Omega \)
- Battery \( \mathcal{E}_1 = 40.0 \, \text{V} \)
- Battery \( \mathcal{E}_2 = 365 \, \text{V} \)
These components are connected in the circuit diagram, showing \( R_1 \) and \( R_2 \) in parallel with each other and \( R_3 \) in series with them.
**Questions:**
(a) What current flows through \( R_1 \), \( R_2 \), and \( R_3 \)?
- \( I_1 = \) [Fill in answer] A
- \( I_2 = \) [Fill in answer] A
- \( I_3 = \) [Fill in answer] A
(b) What is the absolute value of the potential difference across \( R_1 \), \( R_2 \), and \( R_3 \)?
- \( |\Delta V_{R1}| = \) [Fill in answer] V
- \( |\Delta V_{R2}| = \) [Fill in answer] V
- \( |\Delta V_{R3}| = \) [Fill in answer] V
**Diagram Explanation:**
The schematic shows two parallel branches containing one resistor each (\( R_1 \) and \( R_2 \)) connected between two nodes. Each branch is connected to batteries \( \mathcal{E}_1 \) and \( \mathcal{E}_2 \). A third resistor (\( R_3 \)) is connected in series in the circuit. The diagram assists in visualizing the potential paths and node connections for calculating current distributions and potential differences.
This setup prompts students to apply Kirchhoff’s rules and Ohm’s law for analysis. By calculating the unknown currents and potential differences, students develop skills for analyzing complex circuits.
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