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Class 12 NEET Physics Electromagnetic Induction and Alternating Currents
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© examsnet.com
Question : 28
Total: 114
Two conducting circular loops of radii
R
1
and
R
2
are placed in the same plane with their centres coinciding. If
R
1
>
>
R
2
, the mutual inductance
M
between them will be directly proportional to
[NEET 2021]
R
1
R
2
R
2
R
1
R
1
2
R
2
R
2
2
R
1
Validate
Solution:
👈: Video Solution
Two concentric coils are of radius
R
1
and
R
2
as shown
Let current in outer loop be
i
Magnetic field at centre
=
B
=
µ
0
i
2
R
1
Magnetic flux through inner coil
=
B
×
π
R
2
2
ϕ
=
µ
0
i
2
R
1
×
π
R
2
2
ϕ
=
µ
0
i
2
×
π
R
2
2
R
1
as per definition,
ϕ
=
M
i
⇒
M
=
(
µ
0
π
2
)
R
2
2
R
1
∴
M
∝
R
2
2
R
1
© examsnet.com
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