The magnetic potential across a current carrying filament is measured as ⃗ A=x2 yax+y2xay−xyzaz.  a. Magnetic flux density at (-1,2,5) b. Magnetic field intensity at free space c. Magnetic field intensity across the filament at relative permeability 4. d. Magnetic flux through the surface given by z=1,0≤x≤1,−1y≤4. e. Is it possible to measure magnetic scalar potential? Validate your answer with mathematical equations.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter30: Faraday's Law
Section: Chapter Questions
Problem 50CP
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The magnetic potential across a current carrying filament is measured as ⃗ A=x2 yax+y2xay−xyzaz.  a. Magnetic flux density at (-1,2,5) b. Magnetic field intensity at free space c. Magnetic field intensity across the filament at relative permeability 4. d. Magnetic flux through the surface given by z=1,0≤x≤1,−1y≤4. e. Is it possible to measure magnetic scalar potential? Validate your answer with mathematical equations.

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