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Answer :
Final answer:
The question delves into the principles of electromagnetism as they apply to electrical transmission lines, focusing on calculating current density and magnetic field strengths in specific scenarios. It highlights the application of Ampere's Law and the significance of these calculations in electrical engineering.
Explanation:
The question involves understanding the physics of electrical transmission lines and how current flow and magnetic field strengths are calculated in different scenarios. Two scenarios provided for analysis are:
- Calculating the current density j in a cable with a non-conductive central core and a conducting aluminum sheath, given specific dimensions and current. The formula used is j = I / (π(b^2 - a^2)), where I is the total current, a and b are the radii of the central core and the aluminum sheath, respectively.
- Deriving the magnitude of the magnetic field in a system of two coaxial pipes carrying current in opposite directions. This scenario examines the magnetic field at different distances from the axis, requiring the use of Ampere's Law.
The importance of understanding these principles lies in their application to the design and analysis of electrical transmission systems. Both scenarios demonstrate fundamental concepts in electromagnetism that are critical for engineers, particularly those working in power transmission and electrical engineering fields.
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