gsan
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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).
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!
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!