An air$-$filled toroidal solenoid has $305$ turns of wire, a mean radius of $13\mathrm{.}5$ cmcm$,$ and a cross$-$sectional area of $4\mathrm{.}20$ cm$2$cm$2.$

Part A

If the current is $5\mathrm{.}50$ AA$,$ calculate the magnetic field in the solenoid.

Express your answer in teslas.

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TT

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Part B

Calculate the self$-$inductance of the solenoid.

Express your answer in henries.

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HH

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Part C

Calculate the energy stored in the magnetic field.

Express your answer in joules.

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Part D

Calculate the energy density in the magnetic field.

Express your answer in joules per meter cubed.

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J$/$m$3$J$/$m$3$

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Part E

Find the answer for part D by dividing your answer to part C by the volume of the solenoid.

Express your answer in joules per meter cubed.

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uu $=$

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