**Problem 11: Magnetic Field and Flux Calculation**A long straight wire carries a current \( I = 20 \, \text{A} \) in the direction indicated in the diagram. The task is to:1. Use Ampere's Law to calculate the magnetic field for a long straight wire.2. Calculate the magnetic flux through a rectangular loop of wire that is located 10 cm from the long straight wire. The loop has a width of 12 cm and a length of 16 cm.3. Determine the direction of the magnetic field created by the long wire at the location of the square loop.**Diagram Explanation:**- A horizontal line at the top represents the long straight wire carrying a current labeled as \( I = 20 \, \text{A} \).- Below the wire is a rectangular loop. - The loop is positioned 10 cm (\( D = 10 \, \text{cm} \)) directly below the wire. - The width and length of the rectangular loop are labeled as 12 cm and 16 cm, respectively.- The direction of the current flow in the wire is shown with an arrow. **Steps:**1. **Ampere’s Law**: Use \(\oint \mathbf{B} \cdot d\mathbf{l} = \mu_0 I_{\text{enc}}\) to find the magnetic field \(\mathbf{B}\). 2. **Calculate Magnetic Flux**: - The expression for magnetic flux \(\Phi = \int \mathbf{B} \cdot d\mathbf{A}\). - Evaluate across the surface area of the rectangular loop using the magnetic field from Ampere's Law.3. **Direction of Magnetic Field**: - Establish the magnetic field direction using the right-hand rule around the wire. This problem involves concepts from electromagnetism and requires applying Ampere’s Law and the definition of magnetic flux for a comprehensive solution.

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11. A long straight wire carries a current I= 20 A in the direction indicated. First, use Ampere's Law to calculate the magnetic field for a long straight wire, then calculate the magnetic flux through a rectangular loop of wire that is located 10 cm from the long straight wire and has a width of 12 cm and a length of 16 cm. The long wire creates a magnetic field that is in what direction at the location of the square loop?

11. A long straight wire carries a current I= 20 A in the direction indicated. First, use Ampere's Law to calculate the magnetic field for a long straight wire, then calculate the magnetic flux through a rectangular loop of wire that is located 10 cm from the long straight wire and has a width of 12 cm and a length of 16 cm. The long wire creates a magnetic field that is in what direction at the location of the square loop?

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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