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(A) By analyzing the circuit diagram,we can identify the nodes. All four inductors,each of $4 \, H$,are connected in parallel between points $A$ and $

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$1$

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(A) By analyzing the circuit diagram,we can identify the nodes. All four inductors,each of $4 \, H$,are connected in parallel between points $A$ and $B$.The formula for the equivalent inductance $L_{eq}$ of $n$ inductors connected in parallel is given by:$\frac{1}{L_{eq}} = \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3} + \frac{1}{L_4}$Substituting the given values:$\frac{1}{L_{eq}} = \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4}$$\frac{1}{L_{eq}} = \frac{4}{4} = 1 \, H^{-1}$Therefore,$L_{eq} = 1 \, H$.

The equivalent inductance between $A$ and $B$ is ..... $H$.

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