Consider a single$-$phase load with an applied voltage v$($t$)5150$ cos$($vt $1$

$10)$ volts and load current i$($t$)55$ cos$($vt $250)$ A$.($a$)$ Determine

the power triangle. $($b$)$ Find the power factor and specify whether

it is lagging or leading. $($c$)$ Calculate the reactive power supplied by

capacitors in parallel with the load that correct the power factor to

$0\mathrm{.}9$ lagging.