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EAMCET Engineering 2001 Solved Paper
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© examsnet.com
Question : 23
Total: 200
A wire in the form of a square of side
a
carries a current
i
. Then, the magnetic induction at the centre of the square is
(Magnetic permeability of free space
=
µ
0
)
µ
0
i
2
π
a
µ
0
i
√
2
π
a
2
√
2
µ
0
i
π
a
µ
0
i
√
2
π
a
Validate
Solution:
Magnetic field produced by side '
A
B
' at the centre.
B
1
=
µ
0
i
4
π
r
(
s
i
n
φ
1
+
s
i
n
φ
2
)
=
µ
0
i
4
π
a
2
(
s
i
n
45
∘
+
s
i
n
45
∘
)
=
2
µ
0
i
4
π
a
(
1
√
2
+
1
√
2
)
⇒
=
2
√
2
µ
0
i
4
π
a
∴
Total magnetic field at the centre
B
=
4
B
1
=
4
(
2
√
2
µ
0
i
4
π
a
)
=
2
√
2
µ
0
i
π
a
© examsnet.com
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