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EAMCET Engineering 2007 Solved Paper
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© examsnet.com
Question : 34
Total: 160
Two wires
A
and
B
are of lengths
40
cm
and
30
cm
.
A
is bent into a circle of radius
r
and
B
into an arc of radius
r
. A current
i
1
is passed through
A
and
i
2
through
B
. To have the same magnetic inductions at the centre, the ratio of
i
1
:
i
2
is
3
:
4
3
:
5
2
:
3
4
:
3
Validate
Solution:
For wire
A
,
B
1
=
µ
0
i
1
2
r
where
r
=
40
2
π
For wire
B
,
Circumference
=
length
n
π
r
=
30
or
n
π
=
30
r
=
30
40
∕
2
π
=
3
2
π
or
∴
B
2
=
µ
0
4
π
(
i
2
r
)
θ
But
B
1
=
B
2
or
µ
0
i
1
2
r
=
µ
0
4
π
(
i
2
r
)
θ
or
i
1
i
2
=
3
4
© examsnet.com
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