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Byju's Answer
Standard XII
Physics
Magnetic Field
Find the magn...
Question
Find the magnetic field at the centre
O
of the loop shown in the figure.
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Solution
As point - O lies in - line with all three wires magnetic field due to them
−
→
B
2
=
−
→
B
4
=
−
→
B
6
=
0
We know,
→
B
a
r
c
=
μ
o
I
θ
4
π
R
So,
−
→
B
1
=
μ
o
i
4
×
4
π
R
(
π
2
)
=
μ
o
i
4
×
8
R
−
→
B
3
=
μ
o
i
π
4
π
(
2
R
)
=
μ
o
i
8
R
−
→
B
5
=
μ
o
i
4
π
(
R
)
(
π
2
)
=
μ
o
i
8
R
So,
→
B
n
e
t
=
∑
n
=
1
0
→
B
n
=
−
→
B
1
+
−
→
B
2
+
−
→
B
3
+
−
→
B
4
+
−
→
B
5
+
−
→
B
6
→
B
n
e
t
=
0
+
0
+
0
+
μ
o
i
8
R
[
1
4
+
1
+
1
]
→
B
n
e
t
=
9
μ
o
i
32
R
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