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32. By the righthand rule (which is “builtinto” Eq. 293) the field caused by wire 1’s
current, evaluated at the coordinate origin, is along the +
y
axis.
Its magnitude
B
1
is given
by Eq. 294.
The field caused by wire 2’s current will generally have both an
x
and a
y
component which are related to its magnitude
B
2
(given by Eq. 294) and sines and
cosines of some angle.
A little trig (and the use of the righthand rule) leads us to
conclude that when wire 2 is at angle
θ
2
(shown in Fig. 2960) then its components are
222
2
2 2
sin
,
cos
.
xy
BB
B
B
θ
θ
==
−
The magnitudesquared of their net field is then
x
component and the square of their net
y
component:
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This note was uploaded on 06/08/2010 for the course PHY 1356 taught by Professor Bonamente during the Spring '10 term at UAA.
 Spring '10
 Bonamente

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