An infinite current filament carries a current of 3A and lies along the x-axis. Using Biot-Savart Law, find the magnectic field intensity in cartesian coordinates at a point P(-1,3,2).(adsbygoogle = window.adsbygoogle || []).push({});

dH = I vec{dl} x hat{R} / 4piR^2

let substitude hat{R} with vec{R} / R

then dH = I vec{dl} x vec{R} / 4piR^3

vec{R} = hat{x}(-1-x) + hat{y}3 + hat{z}2 and vec{dl} = hat{x}dx

vec{dl} x vec{R} =

|hat{x} hat{y} hat{z}|

| 1 0 0 |

| (-1-x) 3 2 |

=[hat{y}-2 + hat{z}3] dx

dH = (I)(dx)(hat{y}-2 + hat{z}3) / 4piR^3

magnitude of R = sqrt [(-1-x)^2 + 3^2 + 2^2]

dH = (I)(dx)(hat{y}-2 + hat{z}3) / 4pi[(-1-x)^2 + 3^2 + 2^2]^3/2

how do I solve for the next step? thanks!

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# Homework Help: Biot-Savart Law (infinite filament)

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