Physics XII Content





Magnetic field due to straight current carrying conductor

Magnetic field due to straight current carrying conductor

Consider an infinitely long conductor AB through which current I flows. Let P be any point at a distance a from the centre of conductor. Consider dl be the small current carrying element at point c at a distance r from point p. α be the angle between r and dl. l be the distance between centre of the coil and elementary length dl.
From biot-savart law, magnetic field due to current carrying element dl at point P is
Magnetic field due to straight current carrying conductor

from above three equations

Magnetic field due to straight current carrying conductor

Total magnetic field due to straight current carrying conductor is



magnetic field due to straight current carrying conductor

This is the final expression for total magnetic field due to staright current carrying conductor.

If the conductor having infinite length then,

 magnetic field due to straight current carrying conductor

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