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JEE Advanced 2020 Full Test 2 Paper 2
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© examsnet.com
Question : 17
Total: 54
Two long straight wires of telephone circuit inside a house are coplanar with and run parallel to a third long straight conductor that carries a current
i
=
i
0
sin
ω
t
. The wires are at a distance of
d
1
and
d
2
from the conductor. The conductor induced a noise in the telephone circuit. The rms voltage per unit length of this induced emf is
x
×
5
,
find
x
?
Express your answer in
µ
∨
. Take
d
2
=
2
d
1
,
i
0
=
2
√
2
ln
2
A
ω
=
50
r
a
d
∕
s
Your Answer:
Validate
Solution:
d
φ
=
µ
0
i
2
π
x
×
1
d
x
φ
=
µ
0
i
2
π
1
ln
(
d
2
d
1
)
ε
=
d
φ
d
t
=
µ
0
2
π
1
ln
(
d
2
d
1
)
×
i
0
ω
cos
w
t
ε
r
m
s
=
µ
0
2
π
1
ln
(
d
2
d
1
)
i
0
ω
√
2
=
4
π
×
10
−
7
2
π
×
1
×
ln
2
×
2
√
2
ln
2
×
50
√
2
© examsnet.com
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