A $0\mathrm{.}200$ HH inductor is connected in series with a $92$ resistor and an ac source. The voltage across the inductor is vL$=(12\mathrm{.}5$V$)$sin$[(490$rad$/$s$)$t$]$vL$=(12\mathrm{.}5$V$)$sin$[(490$rad$/$s$)$t$].$

Part A

Derive an expression for the voltage vRvR across the resistor.

Express your answer in terms of the variables LL$,$ RR$,$ VLVL $($amplitude of the voltage across the inductor$),$ $,$ and tt$.$

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vRvR $=$

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Part B

What is vRvR at $1\mathrm{.}95$ msms$?$

Express your answer with the appropriate units.