Two capacitors with CA greater than CB are connected in parallel with a battery. Which of the following is true? A There is more potential difference across Ca. There is more potential difference across Cg. There is the same charge stored on each capacitor. There is the same potential difference across both capacitors.

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**Title: Understanding Capacitors in Parallel**

**Question:**  
Two capacitors with \( C_A \) greater than \( C_B \) are connected in parallel with a battery. Which of the following is true?

**Options:**

- **A)** There is more potential difference across \( C_A \).
- **B)** There is more potential difference across \( C_B \).
- **C)** There is the same charge stored on each capacitor.
- **D)** There is the same potential difference across both capacitors.

**Explanation:**  
In a parallel circuit, the potential difference (voltage) across each capacitor is the same as the voltage of the battery. Therefore, the correct answer is **D)** There is the same potential difference across both capacitors.

This happens because when capacitors are connected in parallel, they all share the same two nodes, and hence the same voltage is applied across each. The charge on each capacitor, however, would be different and depends on its capacitance, calculated using \( Q = C \times V \), where \( Q \) is the charge, \( C \) is the capacitance, and \( V \) is the voltage.
Transcribed Image Text:**Title: Understanding Capacitors in Parallel** **Question:** Two capacitors with \( C_A \) greater than \( C_B \) are connected in parallel with a battery. Which of the following is true? **Options:** - **A)** There is more potential difference across \( C_A \). - **B)** There is more potential difference across \( C_B \). - **C)** There is the same charge stored on each capacitor. - **D)** There is the same potential difference across both capacitors. **Explanation:** In a parallel circuit, the potential difference (voltage) across each capacitor is the same as the voltage of the battery. Therefore, the correct answer is **D)** There is the same potential difference across both capacitors. This happens because when capacitors are connected in parallel, they all share the same two nodes, and hence the same voltage is applied across each. The charge on each capacitor, however, would be different and depends on its capacitance, calculated using \( Q = C \times V \), where \( Q \) is the charge, \( C \) is the capacitance, and \( V \) is the voltage.
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