Suppose you have a closed box in a circuit as shown. You observe a certain brightness in the indicator bulb A. Imagine that someone makes a change in the electrical elements inside the box. You do not see what has been done. However, you observe that the indicator bulb becomes brighter. A

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**Exercise 3.2**

Suppose you have a closed box in a circuit as shown. You observe a certain brightness in the indicator bulb A. Imagine that someone makes a change in the electrical elements inside the box. You do not see what has been done. However, you observe that the indicator bulb becomes brighter.

**Diagram Description:**
The diagram shows a simple electrical circuit. It consists of a battery supplying power, an indicator bulb labeled A, and a closed box containing unspecified electrical elements. The components are connected in series.

**Questions and Analysis:**

1. **What can you conclude about the current through the battery? Explain how bulb A is serving as an indicator bulb in this circuit.**

   Bulb A's brightness indicates the current flowing through the circuit. Since bulb A becomes brighter, it suggests that the current through the battery has increased. Bulbs typically become brighter with an increase in current passing through them due to the relationship between current and luminosity. Therefore, bulb A serves as an indicator of the current in the circuit.

   
2. **What can you conclude about the total resistance in the circuit? Has it increased, decreased, or stayed the same? Explain.**

   Given that the indicator bulb A becomes brighter, this implies that the total current in the circuit has increased. According to Ohm's Law (V = IR), for a given voltage (V) from the battery, an increase in current (I) means that the total resistance (R) in the circuit must have decreased. Hence, the resistance inside the closed box must have decreased, allowing more current to flow through the circuit and causing bulb A to glow brighter.
Transcribed Image Text:**Exercise 3.2** Suppose you have a closed box in a circuit as shown. You observe a certain brightness in the indicator bulb A. Imagine that someone makes a change in the electrical elements inside the box. You do not see what has been done. However, you observe that the indicator bulb becomes brighter. **Diagram Description:** The diagram shows a simple electrical circuit. It consists of a battery supplying power, an indicator bulb labeled A, and a closed box containing unspecified electrical elements. The components are connected in series. **Questions and Analysis:** 1. **What can you conclude about the current through the battery? Explain how bulb A is serving as an indicator bulb in this circuit.** Bulb A's brightness indicates the current flowing through the circuit. Since bulb A becomes brighter, it suggests that the current through the battery has increased. Bulbs typically become brighter with an increase in current passing through them due to the relationship between current and luminosity. Therefore, bulb A serves as an indicator of the current in the circuit. 2. **What can you conclude about the total resistance in the circuit? Has it increased, decreased, or stayed the same? Explain.** Given that the indicator bulb A becomes brighter, this implies that the total current in the circuit has increased. According to Ohm's Law (V = IR), for a given voltage (V) from the battery, an increase in current (I) means that the total resistance (R) in the circuit must have decreased. Hence, the resistance inside the closed box must have decreased, allowing more current to flow through the circuit and causing bulb A to glow brighter.
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