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VITEEE 2016 Solved Paper
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© examsnet.com
Question : 25
Total: 125
A current I flows in the anticlockwise direction through a square loop of side a lying in the xoy plane with its center at the origin. The magnetic induction at the center of the square loop is
2
√
2
µ
0
I
π
a
^
e
x
2
√
2
µ
0
I
π
a
^
e
z
2
√
2
µ
0
I
π
a
2
^
e
z
2
√
2
µ
0
I
π
a
2
^
e
x
Validate
Solution:
Field due to one side of loop at O
=
µ
0
I
4
π
(
a
2
)
(2 sin 45°)
Field at O due to all four sides is along unit vector
∴ Total field
= 4
µ
0
I
4
π
(
a
2
)
(2 sin 45°) =
2
√
2
µ
0
I
π
a
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