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Q.

A parallel circuit consists two ideal inductor of inductance L and 2L and a resistance R. At some instant the same current  I0  is flowing in both the inductor in same direction.
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a

Total heat produced in resistance is equal to  23LI02

b

Total heat produced in resistance is equal to  13LI02

c

Total charge flow through resistance is  4LI03R

d

Final current in both inductor is same and equal to  I03

answer is A, C.

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Detailed Solution

 2Ldi2dt=Ldidt=(i1+i2)R
Final current ‘i’
 2(i0i)=i+i0
 i=i0/3
Heat  =12(3L)i029123Li02
 =123Li02.89=43Li02
Charge  =(i1+i2)dt
 

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