Three resistors R1 = 82.5 Ω, R2 = 22.2 Ω, R3 = 70.0 Ω, and two batteries 1 = 40.0 V, and 2 = 363 V are connected as shown in the diagram below. (a) What current flows through R1, R2, and R3? I1 =  I2 =  I3 =   (b) What is the absolute value of the potential difference across R1, R2, and R3? |ΔVR1| =   |ΔVR2| =   |ΔVR3| =

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Three resistors R1 = 82.5 Ω, R2 = 22.2 Ω, R3 = 70.0 Ω, and two batteries 1 = 40.0 V, and 2 = 363 V are connected as shown in the diagram below.

(a) What current flows through R1R2, and R3?

I1 = 

I2 = 

I3 =  

(b) What is the absolute value of the potential difference across R1R2, and R3?

VR1| =  
VR2| =  
VR3| =  
The diagram illustrates a circuit consisting of two batteries and three resistors. 

- **Batteries**:
  - \( \mathcal{E}_1 \) and \( \mathcal{E}_2 \) are the electromotive forces (emf) provided by the two batteries, depicted with long and short parallel lines, representing the positive and negative terminals, respectively.

- **Resistors**:
  - \( R_1 \), \( R_2 \), and \( R_3 \) are the resistors in the circuit.

**Circuit Configuration**:
- \( R_1 \) is in series with battery \( \mathcal{E}_1 \).
- \( R_2 \) is in series with battery \( \mathcal{E}_2 \).
- \( R_3 \) is connected parallel to the combination of \( R_1 \) with \( \mathcal{E}_1 \) and \( R_2 \) with \( \mathcal{E}_2 \).

**Description**:
The diagram shows two branches, with each branch containing a resistor and a battery in series, merging into a single branch where resistor \( R_3 \) is located. This setup suggests that the circuit is a combination of series and parallel components, which is a typical configuration for analyzing electrical networks in terms of voltage, current, and resistance using Kirchhoff's laws.
Transcribed Image Text:The diagram illustrates a circuit consisting of two batteries and three resistors. - **Batteries**: - \( \mathcal{E}_1 \) and \( \mathcal{E}_2 \) are the electromotive forces (emf) provided by the two batteries, depicted with long and short parallel lines, representing the positive and negative terminals, respectively. - **Resistors**: - \( R_1 \), \( R_2 \), and \( R_3 \) are the resistors in the circuit. **Circuit Configuration**: - \( R_1 \) is in series with battery \( \mathcal{E}_1 \). - \( R_2 \) is in series with battery \( \mathcal{E}_2 \). - \( R_3 \) is connected parallel to the combination of \( R_1 \) with \( \mathcal{E}_1 \) and \( R_2 \) with \( \mathcal{E}_2 \). **Description**: The diagram shows two branches, with each branch containing a resistor and a battery in series, merging into a single branch where resistor \( R_3 \) is located. This setup suggests that the circuit is a combination of series and parallel components, which is a typical configuration for analyzing electrical networks in terms of voltage, current, and resistance using Kirchhoff's laws.
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