Magnetism
151
19.22
The magnitude of the torque is
sin
NBIA
τ
θ
=
, where
θ
is the angle between the field
and the perpendicular to the plane of the loop. The circumference of the loop is
2
2.00
r
m
π
=
, so the radius is
1.00 m
π
=
r
and the area is
2
2
1
m
A
r
π
π
=
=
.
Thus,
( )(
)
(
)
3
2
3
1
0.800 T
17.0
10
A
m
sin90.0
4.33
10
N m
π
−
−
=
×
° =
×
1
τ
⋅
19.23
The area is
(
)(
)
2
0.200 m
0.150 m
0.094 2 m
A
ab
π
π
=
=
=
90.0
. Since the field is parallel to the
plane of the loop,
θ
=
°
(
)
(
)
(
)
and the magnitude of the torque is
4
2
sin
8
2.00
10
T
6.00 A
0.094 2 m
sin90.0
NBIA
4
9.05
10
N m
τ
θ
−
=
×
−
=
° =
×
⋅
The torque is directed to make the lefthand side of the loop move toward you and the
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 Spring '09
 Physics, Magnetism, Work, loop, τ, Righthand rule, NBIA sin

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