Question $10$

$15$ points

For the circuit in the below figure, C$1=39uF,C2=68uF,C3=68uC,R1=3\mathrm{.}9$Ohm,$R2=4\mathrm{.}3$Ohm,$RL=8\mathrm{.}2$Ohm,$|V1|=60$ V phase $140$ degrees, $|||$ V$2|||=4V$ phase $20$ degrees, and $f=9kHz.$ Use Node analysis to determine which of the following is true?

Solve the equations to determine which of the following is true?

Round up your answer to exactly two decimal points.

Warning: selecting a wrong answer takes marks away.

None of the answers

$(0\mathrm{.}2564+j6\mathrm{.}0507)VA+(-j3\mathrm{.}8453)VB=(-85\mathrm{.}0562-j101\mathrm{.}366)-(Equation$ for Node$-A)$

$(-j1\mathrm{.}4514)VA+(0\mathrm{.}323+j1\mathrm{.}4731)VB=(1\mathrm{.}8906+j2\mathrm{.}2531)-(Equation$ for Node$-B)$

$(0\mathrm{.}2128+j2\mathrm{.}1112)VA+(-j1\mathrm{.}4514)VB=(-14\mathrm{.}8424+j17\mathrm{.}6885)-(Equation$ for Node$-A)$

$(0\mathrm{.}1333+j5\mathrm{.}1522)VA+(-j2\mathrm{.}5761)VB=(-15\mathrm{.}6568-j88\mathrm{.}7939)-(Equation$ for Node$-A)$

$(-j3\mathrm{.}8453)VA+(0\mathrm{.}3544+j3\mathrm{.}8492)VB=(0\mathrm{.}8741+j0\mathrm{.}3182)-(Equation$ for Node$-B)$

$(-j2\mathrm{.}5761)VA+(0\mathrm{.}7617+j2\mathrm{.}6976)VB=(+j8\mathrm{.}3333)-(Equation$ for Node$-B)$