R2 = 52 V = 16 V R1 = 32 hich statement is true? A If R1 were disconnected, R2 would also go out. (B) The current value will be the same in all branches of this circuit. (C) The voltage drop at R1 will be the same as the voltage drop at R2. (D) The total resistance on this circuit will be 8 2.

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Homework, can you check my answers. Not sure I got them right. Thank you! 

### Educational Content on Series and Parallel Circuits

**Diagram Explanation:**

The diagram illustrates a simple electrical circuit with the following components:

- A battery providing a voltage of 16 V.
- Two resistors: \( R_1 = 3 \, \Omega \) and \( R_2 = 5 \, \Omega \).

The resistors are arranged in parallel, indicated by the lines connecting them to the same points in the circuit.

**Questions and Answers:**

1. **Which statement is true?**

   (A) If \( R_1 \) were disconnected, \( R_2 \) would also go out.
   
   (B) The current value will be the same in all branches of this circuit.
   
   (C) The voltage drop at \( R_1 \) will be the same as the voltage drop at \( R_2 \).
   
   (D) The total resistance on this circuit will be 8 Ω.

   **Explanation:** 

   - Option (A) is incorrect because \( R_1 \) and \( R_2 \) are in parallel, so disconnecting one does not affect the other.
   
   - Option (B) is incorrect because in parallel circuits, the current differs across each branch.
   
   - Option (C) is correct as in a parallel circuit, the voltage across each component is the same.
   
   - Option (D) is incorrect because the total resistance in parallel is found using \(\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2}\).

2. **Which of the following would not induce magnetism in an iron nail?**

   (A) hammering the nail
   
   (B) touching it to the pole of a strong magnet
   
   (C) holding it close to the pole of a strong magnet
   
   (D) dragging the pole of a magnet in one direction over the nail

   **Correct Answer: (C) holding it close to the pole of a strong magnet**

   **Explanation:** 

   - Hammering (A) and dragging (D) the pole of a magnet over the nail can align the domains within the nail, inducing magnetism.
   
   - Touching (B) usually induces temporary magnetism through direct contact.
   
   - Simply holding it close (C) is less likely to induce noticeable magnetism
Transcribed Image Text:### Educational Content on Series and Parallel Circuits **Diagram Explanation:** The diagram illustrates a simple electrical circuit with the following components: - A battery providing a voltage of 16 V. - Two resistors: \( R_1 = 3 \, \Omega \) and \( R_2 = 5 \, \Omega \). The resistors are arranged in parallel, indicated by the lines connecting them to the same points in the circuit. **Questions and Answers:** 1. **Which statement is true?** (A) If \( R_1 \) were disconnected, \( R_2 \) would also go out. (B) The current value will be the same in all branches of this circuit. (C) The voltage drop at \( R_1 \) will be the same as the voltage drop at \( R_2 \). (D) The total resistance on this circuit will be 8 Ω. **Explanation:** - Option (A) is incorrect because \( R_1 \) and \( R_2 \) are in parallel, so disconnecting one does not affect the other. - Option (B) is incorrect because in parallel circuits, the current differs across each branch. - Option (C) is correct as in a parallel circuit, the voltage across each component is the same. - Option (D) is incorrect because the total resistance in parallel is found using \(\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2}\). 2. **Which of the following would not induce magnetism in an iron nail?** (A) hammering the nail (B) touching it to the pole of a strong magnet (C) holding it close to the pole of a strong magnet (D) dragging the pole of a magnet in one direction over the nail **Correct Answer: (C) holding it close to the pole of a strong magnet** **Explanation:** - Hammering (A) and dragging (D) the pole of a magnet over the nail can align the domains within the nail, inducing magnetism. - Touching (B) usually induces temporary magnetism through direct contact. - Simply holding it close (C) is less likely to induce noticeable magnetism
Expert Solution
Step 1

Given data: 

Two resistors are connected in parallel

R1 = 3Ω and R2 = 5Ω

Battery voltage (V) = 16 V

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