University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

330

Pages:

7
Author:

Jabin F.

Main Points: Ampere's law can only be applied to infinite or long wires. For finite length wires, Ampere's law cannot be applied directly. The magnetic field around an infinite wire can be calculated using Ampere's law. The magnetic field does not depend on the loop's shape, only on its radius and the enclosed current. Equations: ∮B · dl = μ₀Ienc B = μ₀I / 2πr Diagram: A cylindrical conductor with a current flowing through it. Amperian loop: A circular loop surrounding the conductor. Arrows: Arrows indicating the direction of the current and magnetic field. Equations: Mathematical equations involving magnetic field, current, and constants. Textual Content: Main Equations: ∮B · dl = μ₀I B * 2πr = μ₀I B = μ₀I / 2πr J = J₀r^k (Volume current density) Ienc = ∫J · ds Ienc = 2πJ₀(r^3/3) Additional Notes: The magnetic field around a long, straight wire is calculated using Ampere's law. The current enclosed by the Amperian loop is calculated using the volume current density. The final result shows that the magnetic field is proportional to the current and inversely proportional to the distance from the wire. Main Equations: B_BC = (μ₀I / 4πa√5) * (sinθ₁ + sinθ₂) sinθ₂ = sinθ₁ B_BC = (μ₀I / 4πa√5) * (2sinθ₁) B_BC = (μ₀I / 4πa) * (2 / √5) B_ABCD = (μ₀I / 4πa) * (2 + 2 + 1) B_EFGH = (μ₀I / 4πb) Additional Notes: The equations calculate the magnetic field at different points around a rectangular loop carrying a current. The calculations involve trigonometric functions, the distance from the loop, and the current flowing through it. The final results show the components of the magnetic field in different directions.