ElectroMagnetic InductionHard
Question
A rectangular loop of sides ′a′ and ′b′ is placed in xy plane. A very long wire is also placed in xy plane such that side of length ′a′ of the loop is parallel to the wire. The distance between the wire and the nearest edge of the loop is ′d′. The mutual inductance of this system is proportional to :
Options
A.a
B.b
C.1/d
D.current in wire
Solution
The flux in rectangular loop due to current i in wire is
φ =
a dx = 
ln 
M =
= 
ln 
∴ Mutual inductance is proportional to ′a′.
φ =
a dx = ln M =
= ln ∴ Mutual inductance is proportional to ′a′.
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