$2)$ The complex power associated with each phase of a balanced load is $\backslash (144+\backslash$mathrm$\{$j$\}192\backslash$mathrm$\{$kVA$\}\backslash ).$ The line voltage at the terminals of the load is $2450$ V $.$ A balanced bank of deltaconnected capacitors is connected in parallel with the load. The circuit is operating at a frequency of $60$ Hz $.$ The capacitors are adjusted so that the magnitude of the line current feeding the parallel combination of the load and capacitor bank is at its minimum.

a$.$ What is the size of each capacitor in microfarads? $(8$ pts$)$

b$.$ Repeat $($a$)$ for wye connected capacitors. $(8$ pts$)$

c$.$ What is the magnitude of the line current? $(4$ pts$)$