Part A

One solenoid is centered inside another. The outer one has a length of $50\mathrm{.}0$ cm and contains $6750$ coils, while the coaxial inner solenoid is $5\mathrm{.}00$ cm long and $0\mathrm{.}130$ cm in diameter and contains $18\mathrm{.}0$ coils. The current in the outer solenoid is changing at $\backslash (34\mathrm{.}5\backslash$mathrm$\{$~A$\}/\backslash$mathrm$\{$s$\}\backslash ).$

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What is the mutual inductance of these solenoids?

Express your answer in microhenrys.

$\backslash ($ M$=\backslash )$

$\backslash (\backslash$mu $\backslash$mathrm$\{$H$\}\backslash )$

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Part B

Find the emf induced in the inner solenoid.

Express your answer in volts.

$\backslash [$

$\backslash$mathcal$\{$E$\}\_\{\backslash$text $\{$in $\}\}=\backslash$quad $\backslash$mathrm$\{$V$\}$

$\backslash ]$