For the circuit below, VsVs is operating at $127$VRMS$127$VRMS and $6060$ Hz$,$ find:

$($a$)$ Power factor the source is operating at

$($b$)$ Average power supplied by the source

$($c$)$ What size capacitor should be placed in parallel with the source to cause the power factor to be $11$

$($a$)$ PFVsPFVs $=$

$($b$)$ PVsPVs $=$ W

$($c$)$ CC $=$ F

C $=$ F