ElectroMagnetic InductionHard
Question
Loop A of radius (r << R) moves towards loop B with a constant velocity V in such a way that their planes are always parallel. What is the distance between the two loops (x) when the induced emf in loop A is maximum
Options
A.R
B.
C.
D.
Solution
φA = 
EA = −
= 
R2r2 (-3/2) (R2 + x2)-5/2. 2x (v)
EA is maximum when
= 0
⇒
= 0
or (R2 + x2)5/2 −
(R2 + x2)3/2 2x
or R2 + x2 − 5 x2 = 0
or x =
Ans .
EA = −
= R2r2 (-3/2) (R2 + x2)-5/2. 2x (v)EA is maximum when
= 0⇒
= 0or (R2 + x2)5/2 −
(R2 + x2)3/2 2x or R2 + x2 − 5 x2 = 0
or x =
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