# application of Ampere’s circuit law to infinite line current element

Consider as infinitely long straight conductor placed along z-axis carrying a current I .

In order to determine at some point P. we allow a closed path which passes through the point P and encloses the current  carrying conductor symmetrically such path is known as Amperian path. To apply Ampere’s law the conditions t be satisfied are

1. The field is either tangential (or) Normal to the path at each point of the closed path.
2. The magnitude of must be same at all points of the path where   is tangential.

Now,     is given by  .

The path we are assuming is in the direction of   so  .

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Ampere’s law is used to find out   at P

i.e, from Ampere’s circuit law    .

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from Ampere’s law      .

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Ampere’s law is applied to find the value of   at any point P in it’s field.     (1 votes, average: 5.00 out of 5) Loading... ## Author: vikramarka

Completed M.Tech in Digital Electronics and Communication Systems and currently working as a faculty.

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