Monty Hall wrote:
I have a quick question about calculating mag field @ r using
Biot-Savart.
Given:
current loop shape in x-y plane:
rp(m) = ( rpx(m), rpy(m), 0 ),
biot-savart (k=constant scalar, X=cross product):
dB(r) = k dl X (r - rp) / |r - rp|^3
I'm not sure how to obtain dl only given rp(m). It would seem that
dl in
this case would be dl = d/dm rp(m). If this is so, why do books use
dl and
not d rp????
dl = (D(rp)/D(rpx)) i + (D(rp)/D(rpy)) j + (D(rp)/D(rpz)) k)
where
D = partial derivative
i,j,k = basis vectors
Regards,
Monty
.