GATE 2015 EE – SET 2 – Question 46

Solution :

For minimum equivalent inductance , the coils are  connected in parallel,

Each inductance = L,

Mutual inductance = 0 ,

Equivalent  inductance = α L

$$L_{eq}$$=$$ \frac{(L)(L)}{L+L}$$=$$\frac{L^{2}}{2L}$$ = $$\frac{L}{2} $$ = 0.5 L
$$\therefore$$$$ \alpha$$ = 0.5