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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)

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)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (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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