Part A

What would have to be the self$-$inductance of a solenoid for it to store $12\mathrm{.}0$ J of energy when a $3\mathrm{.}50$ A current runs through it$?$

Express your answer with the appropriate units.

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Part B

If this solenoid's cross$-$sectional diameter is $4\mathrm{.}00$ cm $,$ and if you could wrap its coils to a density of $10$ coils $\frac{?}{mm},$ how long would the solenoid be$?$

Express your answer with the appropriate units.

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