Three inductances are connected as shown in figure. The equivalent inductance is

Step-by-step solution

Equivalent inductance of inductances connected in parallel is L _ p = 1 ~L ₁ + 1 ~L ₂ L _ p = 1 ( 2 ~L + 2 ~L ) = L 4 Equivalent inductance in series aligned L _ s & = L _ p + L ₃ & = L 4 + 3 4 ~L = L aligned