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    Question:A current of ampere is flowing INA n equilateral triangle of side a. The magnetic induction

    at the centroid will be

    Answer: Distance of point Pfrom any wire

    2 3

    a

    Magnetic field due to BC.

    = = 2 !"

    = +

    " 2#sin sin $

    %

    iB

    d

    = +

    " #sin!" sin!"$

    %

    iB

    d

    =

    "3 2 3

    %

    iB

    a

    " 3

    2

    iB

    a

    =

    &or all 3 wires'

    " "3 3 (

    2 2

    i iB

    a a

    = =