We draw an Amperian loop within a wire that carries current uniformly across its

Question

We draw an Amperian loop within a wire that carries current uniformly across its circular cross-sectional area. Which describes the value of the integral in Ampere’s law?



It is proportional to the total current.


It is inversely proportional to the total current.


It is proportional to the current encircled by the loop.


It is inversely proportional to the current encircled by the loop.


It is proportional to the current that is outside the loop.


It is inversely proportional to the current that is outside the loop.

Explanation / Answer

   Acc. to Amper's law when the current flows throgh the wire an amount of Mangetic field is induced in the Amperian loop ; Mathematically , we have B .dl = o I where B is the magnetic field around the loop           I is the current wire Thus, The integral of B .dl   is propotional to Total current in the wire Note : Here current is not flows inthe loop thus, Among the given options : (A) is correct

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