determine the magnitude and direction of the magnetic field at point P, the center of the arc.
determine the magnitude and direction of the magnetic field at point P, the center of the arc.
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![A portion of a straight current carrying wire is bent along a
circular arc as shown in the figure below. The arc subtends and
angle of 48 and the radius of arc is 0.8 m. If a current of 4.875
A travels in the wire in the direction shown in the diagram,
determine the magnitude and direction of the magnetic field at
point P, the center of the arc.
$
4
Po
Hints: Arc length is given by s = re, where 0 is in radians. The
Ho lds
dB =
101
Biot-Savart law becomes 4π r² due to the geometry in
this scenario since at each point along the arc, the arc length
vector, s (tangent to the circular arc) is perpendicular to the
unit vector,r, directed from the point along the arc to the
center of the arc (radially). Integrate both sides, then substitute
using the arc length formula.
Magnitude: (
R
%
5
T
I
40
6
Y
&
4-
7
U
.
+
+
8
19 144
9
G H JK
O
)
O
P
{
لا
=
prt sc
}
]
L
delete
backspace
U
home
num
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enter
7
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Transcribed Image Text:A portion of a straight current carrying wire is bent along a
circular arc as shown in the figure below. The arc subtends and
angle of 48 and the radius of arc is 0.8 m. If a current of 4.875
A travels in the wire in the direction shown in the diagram,
determine the magnitude and direction of the magnetic field at
point P, the center of the arc.
$
4
Po
Hints: Arc length is given by s = re, where 0 is in radians. The
Ho lds
dB =
101
Biot-Savart law becomes 4π r² due to the geometry in
this scenario since at each point along the arc, the arc length
vector, s (tangent to the circular arc) is perpendicular to the
unit vector,r, directed from the point along the arc to the
center of the arc (radially). Integrate both sides, then substitute
using the arc length formula.
Magnitude: (
R
%
5
T
I
40
6
Y
&
4-
7
U
.
+
+
8
19 144
9
G H JK
O
)
O
P
{
لا
=
prt sc
}
]
L
delete
backspace
U
home
num
lock
enter
7
home
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