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Question: Three inductances are connected as shown below. Assuming no coupling, the resultant inductance will ...

Three inductances are connected as shown below. Assuming no coupling, the resultant inductance will be

A

0.25 H

B

0.75 H

C

0.01 H

D

1H

Answer

1H

Explanation

Solution

L2 and L3 are in parallel. Thus their combination gives L=L2L3L2+L3=0.25HL' = \frac{L_{2}L_{3}}{L_{2} + L_{3}} = 0.25H

The L′ and L1 are in series, thus the equivalent inductance is L = L1 + L′ = 0.75 + 0.25 = 1H.