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JEE Advanced Model Paper 4 with solutions for online practice
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© examsnet.com
Question : 12
Total: 54
Two long thin parallel wires and a square loop of side L are coplanar. The currents in the two wires A an B are 2A and 1 A and total flux through the loop is zero. Nearer side of the loop is at a distance L from wire A. The separation between the wiresis
L/3
L/2
2L/3
3L/4
Validate
Solution:
d
ϕ
= B(da) =
µ
0
I
2
π
r
(dr) L
ϕ
=
µ
0
I
L
2
π
x
+
L
∫
x
→
d
r
r
=
µ
0
I
L
2
π
ln
(
1
+
L
x
)
Let l is the distance between two wires. Net flux through the loop is zero when
A and B carry currents in opposite directions and
ϕ
A
=
ϕ
B
µ
0
(
2
)
L
2
π
ln
(
1
+
L
L
)
=
µ
0
(
1
)
L
2
π
ln
(
1
+
L
L
−
1
)
⇒ 2 ln 2 = ln
(
1
+
L
l
−
1
)
⇒ 1 +
L
L
−
1
= 4 ⇒ l =
2
L
3
© examsnet.com
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