### Magnetic Field Evaluation Using Ampère’s LawConsider the seven current-carrying wires and the four closed paths ($ C_1, C_2, C_3, $ and $ C_4 $) shown in the figure. For each of these paths, determine the following in terms of $ \mu_0 $. Use the standard sign convention for the currents; minus is down into the page and positive is up out of the page. (Assume $ I_1 = 4.00 $ A, $ I_2 = 6.00 $ A, $ I_3 = 3.00 $ A, $ I_4 = 6.00 $ A, $ I_5 = 9.00 $ A, $ I_6 = 6.00 $ A, and $ I_7 = 7.00 $ A.)**Diagram Explanation:**The diagram consists of seven currents labeled $ I_1 $ to $ I_7 $, with circles around them indicating their orientation. Currents $ I_5 $ and $ I_7 $ are pointing into the page, while the others are pointing out of the page. Four closed paths $ C_1, C_2, C_3, $ and $ C_4 $ are drawn as dashed loops surrounding various combinations of these currents.**Tasks:**(a) Evaluate the line integral for path $ C_1 $:\[\oint_{C_1} \mathbf{B} \cdot d\mathbf{s} = (4) \mu_0 \quad \text{(Correct)}\](b) Evaluate the line integral for path $ C_2 $:\[\oint_{C_2} \mathbf{B} \cdot d\mathbf{s} = (-2) \mu_0 \quad \text{(Incorrect)}\]**Note:** Review Ampère’s law. Check the sign convention for the currents. What current crosses the surface bounded by the closed path $ C_2 $?(c) Evaluate the line integral for path $ C_3 $:\[\oint_{C_3} \mathbf{B} \cdot d\mathbf{s} = (-5) \mu_0 \quad \text{(Correct)}\](d) Evaluate the line integral for path \( C_

Given,I1= 4 AI2=6 AI3=3 AI4=6 AI5=9 AI6=6 AI7=7 A

Use standard sign Consider the seven current-carrying wires and the four closed paths shown in figure. For each of these paths (C₁, C₂, C3, and C4) determine the following in terms of convention for the currents; minus is down into the page and positive is up out of the page. (Assume I₁ = 4.00 A, I₂ = 6.00 A, 13 = 3.00 A, 14 = 6.00 A, 15 = 9.00 A, 16 = 6.00 A, and I, = 7.00 A.)

Use standard sign Consider the seven current-carrying wires and the four closed paths shown in figure. For each of these paths (C₁, C₂, C3, and C4) determine the following in terms of convention for the currents; minus is down into the page and positive is up out of the page. (Assume I₁ = 4.00 A, I₂ = 6.00 A, 13 = 3.00 A, 14 = 6.00 A, 15 = 9.00 A, 16 = 6.00 A, and I, = 7.00 A.)

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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