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BITSAT 2015 Solved Question Paper
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© examsnet.com
Question : 40
Total: 150
A long straight wire along the Z-axis carries a current I in the negative Z-direction. The magnetic vector field
→
B
at a point having coordinates (x, y) in the Z = 0 plane is
µ
0
I
(
y
^
i
−
x
^
j
)
2
π
(
x
2
+
y
2
)
µ
0
I
(
y
^
i
+
x
^
j
)
2
π
(
x
2
+
y
2
)
µ
0
I
(
x
^
i
−
y
^
j
)
2
π
(
x
2
+
y
2
)
µ
0
I
(
x
^
i
+
y
^
j
)
2
π
(
x
2
+
y
2
)
Validate
Solution:
The wire carries a current I in the negative z-direction. We have to consider the magnetic vector field
→
B
at (x, y) in the z = 0 plane.
Magnetic field
→
B
is perpendicular to OP.
∴
→
B
= b sin θ
^
i
- B cos θ
^
j
sin θ =
y
r
, cos θ =
x
r
, B =
µ
0
I
2
π
r
∴
→
B
=
µ
0
I
2
π
r
2
(
y
^
i
−
x
^
j
)
or
→
B
=
µ
0
I
(
y
^
i
−
x
^
j
)
2
π
(
x
2
+
y
2
)
© examsnet.com
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