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Q.

In the given LR circuit, the switch S is closed at time t = 0. Then, 

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a

The ratio of induced emfs in the inductors of inductance L and 2L will be constant

b

The ratio of induced emf’s in the inductor of inductance L and 2L will be time varying

c

The potential difference ‘VA- VB’ increases with time

d

The potential difference ‘ VA- VB’ will be constant.

answer is A, D.

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Detailed Solution

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i1=εR1eRt/Li2=ε2R1e2Rt/2L=ε2R1eRt/Lεind L=Ldi1dt=εeRt/Lεind 2L=2Ldi2dt=εeRt/LVAVB=2Ldl2dt+Ldl1dt=0

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