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

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Aicharya · Accepted Answer

Equivalent inductance of inductances connected in parallel is $\mathrm{L}_{\mathrm{p}}=\frac{1}{\mathrm{~L}_1}+\frac{1}{\mathrm{~L}_2}$ $\therefore \quad \mathrm{L}_{\mathrm{p}}=\frac{1}{\left(\frac{2}{\mathrm{~L}}+\frac{2}{\mathrm{~L}}\right)}=\frac{\mathrm{L}}{4}$
Equivalent inductance in series $\begin{aligned} \mathrm{L}_{\mathrm{s}} & =\mathrm{L}_{\mathrm{p}}+\mathrm{L}_3 \\ & =\frac{\mathrm{L}}{4}+\frac{3}{4} \mathrm{~L}=\mathrm{L} \end{aligned}$ *

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

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