On its highest power setting, a microwave oven can increase the temperature of $0\mathrm{.}414$kg$0\mathrm{.}414$kg of spaghetti by $45\mathrm{.}0$C$45\mathrm{.}0$C in $120.$s$120.$s$.$ Part $($a$)$Given that its specific heat is $3\mathrm{.}76103$J$/($kg$$C$)3\mathrm{.}76103$J$/($kg$$C$),$ a value which is about $90\%$ 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 $20\mathrm{.}7$cm$20\mathrm{.}7$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?