Show a long wire and a rectangular shows a long wire and a rectangular coil. Calculate the mutual inductance of the combination.

Text Solution
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Sol. We consider a differential strip of area dA 2 =
dr, we have used the property of similar triangles to find the length of the strip.
Let I 1 be the current in wire; its magnetic field on the strip is
B = 
d
= B 1 dA 2 =

=
dr
=
dr
=

Therefore mutual inductance μ 12 is
Μ 12 =
= 
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