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BITSAT 2018 Solved Question Paper
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© examsnet.com
Question : 2
Total: 150
Two long parallel wires carry equal current i flowing in the same direction are at a distance 2d apart. The magnetic field B at a point lying on the perpendicular line joining the wires and at a distance x from the midpoint is
µ
0
i
d
π
(
d
2
+
x
2
)
µ
0
i
x
π
(
d
2
−
x
2
)
µ
0
i
x
(
d
2
+
x
2
)
µ
0
i
d
(
d
2
+
x
2
)
Validate
Solution:
The magnetic field due to two wires at P
B
1
=
µ
0
i
2
π
(
d
+
x
)
;
B
2
=
µ
0
i
2
π
(
d
−
x
)
Both the magnetic fields act in opposite direction
∴ B =
B
2
−
B
1
=
µ
0
i
2
π
[
1
d
−
x
−
1
d
+
x
]
=
µ
0
i
2
π
[
d
+
x
−
d
+
x
d
2
−
x
2
]
=
µ
0
i
x
π
(
d
2
−
x
2
)
© examsnet.com
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