Question

Net current $\left(rms\right)$ flowing through the circuit.

• A. $5\sqrt{2}$
• B. $5amp$
• C. $10amp$
• D. $0amp$

Answer 1

The correct option is A $5\sqrt{2}$

$z_1=(2\sqrt{3}+j2),z_2=(2-j2\sqrt{3})$

$Zeq.=z_1\parallel z_2$

$=\frac{z_1{z}_2}{z_1+z_2}$

$=\frac{(2\sqrt{3}+j2)(2-j2\sqrt{3})}{(2\sqrt{3}+j2)+(2-j2\sqrt{3})}$

$=(1+\sqrt{3})+j(1-\sqrt{3}).$

$I=\frac{v}{Zeq.}=\frac{20}{(1+\sqrt{3})+j(1-\sqrt{3})}$

$=5\sqrt{2}\angle {15}^{\circ }$

$RMS=5\sqrt{2}A$