A toroidal solenoid has $580$ turns, cross$-$sectional area $7\mathrm{.}00$ cm$2$cm$2,$ and mean radius $4\mathrm{.}20$ cmcm$.$

Part A

Calculate the coil's self$-$inductance.

Express your answer in henries.

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LL $=$

nothing

HH

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Part B

If the current decreases uniformly from $5\mathrm{.}00$ AA to $2\mathrm{.}00$ AA in $3\mathrm{.}00$ msms$,$ calculate the self$-$induced emf in the coil.

Express your answer in volts.

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EE $=$

nothing

VV

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Part C

The current is directed from terminal a of the coil to terminal b$.$ Is the direction of the induced emf from a to b or from b to a$?$

From a to bFrom b to a