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Question:
i have a doubt that B dl=ui which shows B =(ui)/dl that means B is inversely proportional to dl but B =(u i dl sin theta )/4pi shows B is directly proportional to dl .I am confused plsssss hlp me
Answer:

These two expressions are from two different laws.

∫B.dl= μo I

here, dl= line integral of the magnetic field.

This is from Amperes circuital law, which is for a closed circuit.

Whereas, dB= μo/4π.I dl sinΘ/r2

Is the expression from biot-savart law, here dl is current element.

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