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Solved Problems-9

Problems-9
An infinitely long conductor of radius a is placed such that its axis is along the z-axis. The vector magnetic potential, due to a direct current I0 flowing along Description: Description: 153063.png in the conductor is given by
Description: Description: 153081.png
Find the corresponding Description: Description: 153089.png. Also confirm the result using Ampere’s law.
 
Solution
The magnetic flux density is given as,
Description: Description: 153097.png
 
So, the magnetic field intensity is given as,
Description: Description: 153104.png
 
We calculate the closed line integral of this field as follows.
Description: Description: 159489.png
 
Since Description: Description: 153120.png, Ampere’s law is verified.
 




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