inductance

[logistic_guy]

Ignoring any mutual inductance, what is the equivalent inductance of two inductors connected $\displaystyle \bold{(a)}$ in series, $\displaystyle \bold{(b)}$ in parallel?

 

[khansaheb]

Ignoring any mutual inductance, what is the equivalent inductance of two inductors connected $\displaystyle \bold{(a)}$ in series, $\displaystyle \bold{(b)}$ in parallel?

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[logistic_guy]

$\displaystyle \bold{(a)}$ in series

$\displaystyle L_{\text{series}} = \textcolor{blue}{L_1 + L_2}$


$\displaystyle \bold{(b)}$ in parallel?

$\displaystyle \frac{1}{L_{\text{parallel}}} = \frac{1}{L_1} + \frac{1}{L_2} = \frac{L_1 + L_2}{L_1L_2}$

This gives:

$\displaystyle L_{\text{parallel}} = \textcolor{blue}{\frac{L_1L_2}{L_1 + L_2}}$