SSA of RL circuit

Q. The two elements in the circuit given below are,


v(t) = 50 cos(5000t + 30°) V
i(t) = 10 cos (5000t - 23.13°) A

1. R = 4 $\Omega$ and C = 0.4 mF
2. R = 4.5 $\Omega$ and L = 0.6 mH
3. R = 3 $\Omega$ and L = 0.8 mH
4. R = 3 $\Omega$ and C = 0.8 mF

Q. Find the voltage $V_{xy}$ across the 3$\Omega$ resistor

1. $5.57sin(2t-{21.8}^o)$
2. $8.53sin(3t-{21.8}^o)$
3. $5.57cos(2t-{21.8}^o)$
4. $8.53cos(3t-{21.8}^o)$

Q. For the circuit shown, current

${\overline{I}}_1=6\angle 30{}^{\circ }Aand{\overline{I}}_2=2\angle 20{}^{\circ }A$

The instantaneous current ${\overline{I}}_3$ at 60 Hz frequency is_____

1. 5.72 sin (377t + 34.92 )A
2. 5.72 cos(377t - 34.92°) A
3. 4.27 sin (314t + 26.91°) A
4. 4.27 cos (314t - 26.91°) A