Three long, parallel conductors carry currents of I= 2.9 A. The figure below is an end view of the conductors, with each current coming out of the page. Given that a = 2.5 cm, determine the magnitude and direction of the magnetic field at points A, B, and C. Point A B C 32.2 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. T Magnitude 12.1 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. T 0 HT Direction toward the bottom of the page toward the bottom of the page ✓ The magnitude is zero.

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I need help on part A and B on this problem. I can't seem to figure it out

**Problem Statement:**  
Three long, parallel conductors carry currents of \( I = 2.9 \, \text{A} \). The figure below is an end view of the conductors, with each current coming out of the page. Given that \( a = 2.5 \, \text{cm} \), determine the magnitude and direction of the magnetic field at points \( A \), \( B \), and \( C \).

| Point | Magnitude | Direction |
|-------|-----------|-----------|
| **A** | 32.2 ❌    | toward the bottom of the page ✔ |
|       | *Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. \(\mu T\)* |
| **B** | 12.1 ❌    | toward the bottom of the page ✔ |
|       | *Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. \(\mu T\)* |
| **C** | 0 ✔       | The magnitude is zero. ✔ |

**Diagram Explanation:**

The diagram shows three equally spaced conductors arranged in a triangular formation. Each conductor carries a current labeled as \( I \). The labeled points \( A \), \( B \), and \( C \) denote the locations where the magnetic fields are being calculated. Distances labeled \( a \) indicate equal spacing between the conductors. 

- **Point A:** Located to the left of the top conductor.
- **Point B:** Situated directly above the bottom-left conductor.
- **Point C:** Positioned at the center, equidistant from all three conductors, demonstrating symmetry where the magnetic fields cancel out, leading to zero net field.

The correct approach involves using the principle of superposition to calculate the net magnetic field at each point due to all three conductors.
Transcribed Image Text:**Problem Statement:** Three long, parallel conductors carry currents of \( I = 2.9 \, \text{A} \). The figure below is an end view of the conductors, with each current coming out of the page. Given that \( a = 2.5 \, \text{cm} \), determine the magnitude and direction of the magnetic field at points \( A \), \( B \), and \( C \). | Point | Magnitude | Direction | |-------|-----------|-----------| | **A** | 32.2 ❌ | toward the bottom of the page ✔ | | | *Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. \(\mu T\)* | | **B** | 12.1 ❌ | toward the bottom of the page ✔ | | | *Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. \(\mu T\)* | | **C** | 0 ✔ | The magnitude is zero. ✔ | **Diagram Explanation:** The diagram shows three equally spaced conductors arranged in a triangular formation. Each conductor carries a current labeled as \( I \). The labeled points \( A \), \( B \), and \( C \) denote the locations where the magnetic fields are being calculated. Distances labeled \( a \) indicate equal spacing between the conductors. - **Point A:** Located to the left of the top conductor. - **Point B:** Situated directly above the bottom-left conductor. - **Point C:** Positioned at the center, equidistant from all three conductors, demonstrating symmetry where the magnetic fields cancel out, leading to zero net field. The correct approach involves using the principle of superposition to calculate the net magnetic field at each point due to all three conductors.
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