In the figure the ideal batteries have emfs Ε1 = 6.0 V and Ε2 = 0.500 Ε1, and the resistances are each 4.01 Ω. What is the value of current in (a) resistor 2 and (b) resistor 3?

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In the figure the ideal batteries have emfs Ε1 = 6.0 V and Ε2 = 0.500 Ε1, and the resistances are each 4.01 Ω. What is the value of current in (a) resistor 2 and (b) resistor 3?

 

The diagram represents an electrical circuit consisting of two voltage sources and three resistors. Here is a detailed breakdown:

- **Voltage Sources**: 
  - \( \mathcal{E}_1 \) and \( \mathcal{E}_2 \) are represented as batteries with a positive and negative terminal. Arrows indicate the direction of the electromotive force.

- **Resistors**: 
  - \( R_1 \), \( R_2 \), and \( R_3 \) are resistors represented by the zigzag lines.

- **Currents**: 
  - \( i_1 \), \( i_2 \), and \( i_3 \) denote the currents flowing through different parts of the circuit. Arrows illustrate the direction of the current flows.

The circuit is set up with \( R_1 \) and \( R_2 \) in series with their respective voltage sources, and \( R_3 \) positioned between these branches. The currents \( i_1 \) and \( i_2 \) flow through the branches with \( R_1 \) and \( R_2 \) respectively, while \( i_3 \) flows through \( R_3 \).
Transcribed Image Text:The diagram represents an electrical circuit consisting of two voltage sources and three resistors. Here is a detailed breakdown: - **Voltage Sources**: - \( \mathcal{E}_1 \) and \( \mathcal{E}_2 \) are represented as batteries with a positive and negative terminal. Arrows indicate the direction of the electromotive force. - **Resistors**: - \( R_1 \), \( R_2 \), and \( R_3 \) are resistors represented by the zigzag lines. - **Currents**: - \( i_1 \), \( i_2 \), and \( i_3 \) denote the currents flowing through different parts of the circuit. Arrows illustrate the direction of the current flows. The circuit is set up with \( R_1 \) and \( R_2 \) in series with their respective voltage sources, and \( R_3 \) positioned between these branches. The currents \( i_1 \) and \( i_2 \) flow through the branches with \( R_1 \) and \( R_2 \) respectively, while \( i_3 \) flows through \( R_3 \).
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