For the circuit in the figure below, find the following. (Take E = 6.4 V, R = 5.6 , and r = 1.3 2.) R W a Battery (a) the magnitude of the current and the direction of positive current magnitude direction ---Select--- (b) the potential difference across the battery terminals a and b (c) the rate at which heat is being produced in the 5.6 2 resistor (d) the rate at which heat is being produced inside the battery (e) the rate at which the battery's chemical energy is being used مشرا b

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**Electric Circuit Analysis: Educational Exercise**

For the circuit in the figure below, find the following. (Take \( \mathcal{E} = 6.4 \, \text{V} \), \( R = 5.6 \, \Omega \), and \( r = 1.3 \, \Omega \).)

### Circuit Diagram Description:
The diagram provided shows a series circuit consisting of a battery (with electromotive force \( \mathcal{E} \) and internal resistance \( r \)), an external resistor \( R \), and two points labeled \( a \) and \( b \) between which the battery is connected.

### Questions to Solve:

**(a) The magnitude of the current and the direction of positive current**
- **Magnitude:** [Answer Box]
- **Direction:** [Dropdown Select] (Options likely include "Clockwise" or "Counterclockwise")

**(b) The potential difference across the battery terminals \( a \) and \( b \)**
- [Answer Box]

**(c) The rate at which heat is being produced in the \( 5.6 \, \Omega \) resistor**
- [Answer Box]

**(d) The rate at which heat is being produced inside the battery**
- [Answer Box]

**(e) The rate at which the battery's chemical energy is being used**
- [Answer Box]

### Notes:
- Ensure proper application of Ohm's law and power formulas.
- Consider that the total resistance in the circuit is \( R + r \).
- Use the formula for electric power: \( P = I^2 R \) for each resistor.
- The rate at which the battery's chemical energy is used involves both the internal and external resistances.

This exercise aims to strengthen the understanding of electric circuits, the relationship between voltage, current, and resistance, and the practical application of these concepts in calculating energy dissipation.
Transcribed Image Text:**Electric Circuit Analysis: Educational Exercise** For the circuit in the figure below, find the following. (Take \( \mathcal{E} = 6.4 \, \text{V} \), \( R = 5.6 \, \Omega \), and \( r = 1.3 \, \Omega \).) ### Circuit Diagram Description: The diagram provided shows a series circuit consisting of a battery (with electromotive force \( \mathcal{E} \) and internal resistance \( r \)), an external resistor \( R \), and two points labeled \( a \) and \( b \) between which the battery is connected. ### Questions to Solve: **(a) The magnitude of the current and the direction of positive current** - **Magnitude:** [Answer Box] - **Direction:** [Dropdown Select] (Options likely include "Clockwise" or "Counterclockwise") **(b) The potential difference across the battery terminals \( a \) and \( b \)** - [Answer Box] **(c) The rate at which heat is being produced in the \( 5.6 \, \Omega \) resistor** - [Answer Box] **(d) The rate at which heat is being produced inside the battery** - [Answer Box] **(e) The rate at which the battery's chemical energy is being used** - [Answer Box] ### Notes: - Ensure proper application of Ohm's law and power formulas. - Consider that the total resistance in the circuit is \( R + r \). - Use the formula for electric power: \( P = I^2 R \) for each resistor. - The rate at which the battery's chemical energy is used involves both the internal and external resistances. This exercise aims to strengthen the understanding of electric circuits, the relationship between voltage, current, and resistance, and the practical application of these concepts in calculating energy dissipation.
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