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What is the current in each of the branches?

### Circuit Analysis Exercise

**Circuit Diagram Description:**
The diagram represents an electrical circuit with two loops and multiple components. 

- **Upper Loop:**
  - Contains a 10V battery and a resistor labeled as \( 5\, \Omega \).
  - A second resistor \( 3\, \Omega \) is connected in series with the above configuration.

- **Lower Loop:**
  - Contains a 5V battery and a resistor labeled as \( 10\, \Omega \).
  - A resistor \( 4\, \Omega \) is in series with this configuration.

Both loops are part of a combined circuit, and they share a common resistor of \( 10\, \Omega \) connecting them in parallel to each other.

**Instructions Modification:**
- The 5V battery is to be removed and replaced with a 15V battery. Its negative terminal should be placed adjacent to node B.

**Problem Statement:**
- Part A involves finding the current flowing through the upper branch of the circuit.

This exercise helps in understanding circuit behavior when components are replaced or modified. Please ensure to apply the principles of Kirchhoff’s laws for solving the currents and potential differences in the circuit.
Transcribed Image Text:### Circuit Analysis Exercise **Circuit Diagram Description:** The diagram represents an electrical circuit with two loops and multiple components. - **Upper Loop:** - Contains a 10V battery and a resistor labeled as \( 5\, \Omega \). - A second resistor \( 3\, \Omega \) is connected in series with the above configuration. - **Lower Loop:** - Contains a 5V battery and a resistor labeled as \( 10\, \Omega \). - A resistor \( 4\, \Omega \) is in series with this configuration. Both loops are part of a combined circuit, and they share a common resistor of \( 10\, \Omega \) connecting them in parallel to each other. **Instructions Modification:** - The 5V battery is to be removed and replaced with a 15V battery. Its negative terminal should be placed adjacent to node B. **Problem Statement:** - Part A involves finding the current flowing through the upper branch of the circuit. This exercise helps in understanding circuit behavior when components are replaced or modified. Please ensure to apply the principles of Kirchhoff’s laws for solving the currents and potential differences in the circuit.
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