Note: Figures not drawn to scale. 7. A solenoid is used to generate a magnetic field. The solenoid has an inner radius a, length e, and N total turns of wire. A power supply, not shown, is connected to the solenoid and generates current I, as shown in the figure on the left above. The x-axis runs along the axis of the solenoid. Point P is in the middle of the solenoid at the origin of the xyz-coordinate system, as shown in the cutaway view on the right above. Assume l » a (a) Select the correct direction of the magnetic field at point P. +y-direction +z-direction -y-direction -z-direction +x-direction -x-direction Justify your selection. ➖ (b) i. On the cutaway view above and right, clearly draw an Amperian loop that can be used to determine the magnetic field at point P at the center of the solenoid. ii. Use Ampere's law to derive an expression for the magnetic field strength at point P. Express your answer in terms of I, I, N, a, and physical constants, as appropriate.

Note: Figures not drawn to scale. 7. A solenoid is used to generate a magnetic field. The solenoid has an inner radius a, length e, and N total turns of wire. A power supply, not shown, is connected to the solenoid and generates current I, as shown in the figure on the left above. The x-axis runs along the axis of the solenoid. Point P is in the middle of the solenoid at the origin of the xyz-coordinate system, as shown in the cutaway view on the right above. Assume l » a (a) Select the correct direction of the magnetic field at point P. +y-direction +z-direction -y-direction -z-direction +x-direction -x-direction Justify your selection. ➖ (b) i. On the cutaway view above and right, clearly draw an Amperian loop that can be used to determine the magnetic field at point P at the center of the solenoid. ii. Use Ampere's law to derive an expression for the magnetic field strength at point P. Express your answer in terms of I, I, N, a, and physical constants, as appropriate.

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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