Ampère's Law Evaluate 6 B ·dī for each of the cases shown in the accompanying figure. 2 A 5 A 6 A 2 A (a) (b)

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What is the magntiude of the integral of B over dl for part c? Enter in your answer in micro-T*m. Assume that all currents are 14.7 A instead of what the textbook has noted.

**Ampère’s Law**

Evaluate \[\oint \mathbf{B} \cdot d\mathbf{l}\] for each of the cases shown in the accompanying figure.

**Figure Explanation:**

The figure consists of five diagrams (a) to (e) representing different scenarios to apply Ampère’s Law. Each scenario illustrates a loop (orange dashed line), where various current-carrying conductors pass through or around the loop, marked with arrows indicating the direction of the current flow. The current values in amperes (A) are noted next to each arrow.

- **Diagram (a):**
  - A single conductor carrying a 2 A current crosses the loop from the inside to the outside.

- **Diagram (b):**
  - Three conductors pass through the loop:
    - 5 A and 6 A currents enter the loop.
    - 2 A current exits the loop.

- **Diagram (c):**
  - Two conductors pass through the loop from the outside to the inside:
    - 3 A and 2 A currents enter the loop.

- **Diagram (d):**
  - Three conductors interact with the loop:
    - 3 A and 4 A currents enter the loop.
    - 2 A current exits the loop.

- **Diagram (e):**
  - Five conductors are shown interacting with the loop:
    - 3 A and 2 A currents enter the loop.
    - 4 A and two separate 2 A currents exit the loop.

Ampère’s Law can be applied to these scenarios to evaluate the integral \(\oint \mathbf{B} \cdot d\mathbf{l}\), representing the magnetic effect of the currents through these loops.
Transcribed Image Text:**Ampère’s Law** Evaluate \[\oint \mathbf{B} \cdot d\mathbf{l}\] for each of the cases shown in the accompanying figure. **Figure Explanation:** The figure consists of five diagrams (a) to (e) representing different scenarios to apply Ampère’s Law. Each scenario illustrates a loop (orange dashed line), where various current-carrying conductors pass through or around the loop, marked with arrows indicating the direction of the current flow. The current values in amperes (A) are noted next to each arrow. - **Diagram (a):** - A single conductor carrying a 2 A current crosses the loop from the inside to the outside. - **Diagram (b):** - Three conductors pass through the loop: - 5 A and 6 A currents enter the loop. - 2 A current exits the loop. - **Diagram (c):** - Two conductors pass through the loop from the outside to the inside: - 3 A and 2 A currents enter the loop. - **Diagram (d):** - Three conductors interact with the loop: - 3 A and 4 A currents enter the loop. - 2 A current exits the loop. - **Diagram (e):** - Five conductors are shown interacting with the loop: - 3 A and 2 A currents enter the loop. - 4 A and two separate 2 A currents exit the loop. Ampère’s Law can be applied to these scenarios to evaluate the integral \(\oint \mathbf{B} \cdot d\mathbf{l}\), representing the magnetic effect of the currents through these loops.
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