The switch is in position $($a$)$ for a long time before it is quickly switched to position $($b$).$ The value of the inductors, resistors, and power supplies are LL $=0\mathrm{.}35$ H$,$ R$1$R$1=7,$ RbRb $=2\mathrm{.}5,$ EaEa $=11$ V$,$ and EbEb $=3\mathrm{.}5$ V$.$ Treat the inductors and EMFs as ideal.

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$$ Part $($a$)$

What is the magnitude of the current through the inductor right after the switch is thrown to position $($b$)?$ Answer in amperes.

IL $=$

$|$

A