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# Why are air cored chokes used for reduced high frequency a.c ?

$\begin{array}{1 1} As\; \alpha\; is\;high , L \;is\;less \\ As\; \alpha\; is\;high , L \;is\;high \\ As\; \alpha\; is\;high , L \;is\;need\;not\;be \;high \\ none\;of\;the\;above \end{array}$

$X_L= L_w = 2 \pi \gamma L$
When $\gamma$ is high , L need not be high .