A $250$ resistor is connected in series with a $4\mathrm{.}80$ FF capacitor and an ac source. The voltage across the capacitor is C$=(7\mathrm{.}60$V$)$sin$[(120$rad$/$s$)$t$]$C$=(7\mathrm{.}60$V$)$sin$[(120$rad$/$s$)$t$].$

Part A

Determine the capacitive reactance of the capacitor.

Express your answer with the appropriate units.

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Part B

Derive an expression for the voltage RR across the resistor.

VR$=(1\mathrm{.}10$V$)$cos$((120$rad$/$s$)$t$)$VR$=(1\mathrm{.}10$V$)$cos$((120$rad$/$s$)$t$)$VR$=(1\mathrm{.}10$V$)$sin$((120$rad$/$s$)$t$)$VR$=(1\mathrm{.}10$V$)$sin$((120$rad$/$s$)$t$)$VR$=(120$V$)$cos$((1\mathrm{.}10$rad$/$s$)$t$)$VR$=(120$V$)$cos$((1\mathrm{.}10$rad$/$s$)$t$)$VR$=(120$V$)$sin$((1\mathrm{.}10$rad$/$s$)$t$)$VR$=(120$V$)$sin$((1\mathrm{.}10$rad$/$s$)$t$)$

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