Two concentric circular loops are in
same plane. These loops have radii R1
and R2 (R >> R2). In outer loop a
current is flowing which is given by 1 =
locos(wt). Emf induced in the smaller
loop is given by
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Answer:
given = 2 concenric circular loops
radius of 2 concentric circles R1 and R2 respectively.
to find = EMF induced
solution =
i = a + Bi / R1
R2 = resistance of smaller loop magnetic feild due to large loop.
B2 = μοi/2R1 ..... uniform in loop
flux through the smaller loop,
Ф1= B2A1 = μοi/ 2R1 ΠR2² = μο( a + B1)πR2²/ 2R1R2
induced EMF in smaller loop
e1 = dΦ/dt = μοB πR2²/2R1R2
the induced EMF in the smaller loop is given by μοB πR2²/2R1R2
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