InterviewSolution
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InterviewSolution
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State Biot - Savart's law. |
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Answer» Solution :The magnitude of magnetic field `vec(DB)` at a POINT P at a distance r from the small elemental length taken on a conductor carrying CURRENT varies (i) directly as the strength of the current I (ii) directly as the magnitude of the length element `vec(dl)` (III) directly as the sine of the angle ( say , `theta`) between `vec(dl)" and " hat r` . (iv) inversely as the square of the distance between the point P and length element `vec(dl)`. This is expressed as `dB propto (Idl)/r^(2) sin theta` `dB = K (Idl)/r^(2) sin theta` where `K = mu_(0)/(4pi) `in SIunits and K = 1 in CGSunits. Is vector notation, `d vecB = ( mu_(0))/(4pi) (I vec(dl) xx hatr)/r^(2) ` Here vector `vec(dB)` is perpendicular to both I `vec(dl)` ( pointing the direction of currentflow) and the unit vector `hatr` directed from `vec(dl)` toward point P . |
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