A current I si established in a closed loop of an triangle ABC of side l. find the magnetic field at the centroid O
Text Solution
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From geometry `OP = (l)/(2 sqrt(3))` Magnetic fields due to current in all the three sides are equal in magnitude and directed into the plane of the paper Hence net `B = (3 mu_(0) I)/(4 pi r) [sin theta]_((pi)/(3))^((pi)/(3))` where `r = (l)/(2 sqrt(3))` `= (3 mu_(0) I)/(4 pi r) xx 2 sin ((pi)/(3)) = (9 mu_(0)I)/(2 pi l)` units
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