Problem $7$: $(11\backslash \%$ of Assignment Value$)$

On its highest power setting, a microwave oven can increase the temperature of $0\mathrm{.}379$ kg of spaghetti by $\backslash (45\mathrm{.}0^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ in $\backslash (120.\backslash$mathrm$\{$s$\}\backslash ).$

Part $($a$)$

Given that its specific heat is $\backslash (3\mathrm{.}76\backslash$times $10^\{3\}\backslash$mathrm$\{$~J$\}/\backslash$left$(\backslash$mathrm$\{$kg$\}\backslash$cdot$\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash$right$)\backslash ),$ a value which is about $\backslash (90\backslash \%\backslash )$ that of water, what was the rate of energy absorption$,$ in watts, by the spaghetti?

Part $($b$)$

Find the average intensity of the microwaves absorbed by the spaghetti, in watts per squared meter, given that they are absorbed over a circular area $21\mathrm{.}7$ cm in diameter.

Part $($c$)$

What is the peak electric field strength, in volts per meter, absorbed by the spaghetti?

Part $($d$)$

What is the corresponding peak magnetic field strength, in teslas?

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B$\_\{0\}=\backslash$square $\backslash$mathrm$\{$T$\}$

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