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JEE Mains 06-Sep-2020 Shift 2 Solved Paper
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© examsnet.com
Question : 19
Total: 75
A square loop of side
2
a
and carrying current I is kept in xz plane with its centre at origin. A long wire carrying the same current I is placed parallel to z-axis and passing through point
(
0
,
b
,
0
)
,
(
b
>
>
a
)
.
The magnitude of torque on the loop about z-axis will be :
2
µ
0
I
2
a
2
b
π
(
a
2
+
b
2
)
µ
0
I
2
a
2
b
2
π
(
a
2
+
b
2
)
µ
0
I
2
a
2
2
π
b
2
µ
0
I
2
a
2
π
b
Validate
Solution:
F
=
B
I
2
a
=
µ
0
I
2
π
r
I
×
2
a
F
=
µ
0
I
2
a
π
√
b
2
+
a
2
τ
=
F
cos
θ
×
2
a
=
µ
0
I
2
a
π
√
b
2
+
a
2
×
b
√
b
2
+
a
2
×
2
a
τ
=
2
µ
0
I
2
a
2
b
π
(
a
2
+
b
2
)
If
b
>
>
a
then
τ
=
2
µ
0
I
2
a
2
π
b
But among the given options (1) is most appropriate.
© examsnet.com
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