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The Biot-Savart Law to derive the equation of the magnetic field of a long, straight wire?

The Biot-Savart Law to derive the equation of the magnetic field of a long, straight wire?

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Answer #1

The below figure shows an infinite long conductor carring a current ' I '

Take small element ' dl ' on the wire. We will find the magnetic field due to this element at a point ' P ' which is ' r ' distance and ' θ ' angle from ' dl '

From Biot-Savart's Law, ---- Eqn (1)

From the geometry, according to Pythagoras theorum,

And   

Substiuting in Eqn (1) :

Applying the limits :

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