If the current is $i(t)=2cos(3t)+7sin(2t)[A],$ the voltage $v_{ab}(t)$ in this circuit is:

A$)\frac{7}{{?}_0}+\frac{3}{{?}_{90}}[$V$]$

B$)7cos(2t+32\mathrm{.}5)-3sin(2t)$

$[$V$]$

C$)-3sin(3t)+7cos(2t)[V]$

D$)\frac{2}{3}sin(3t)+\frac{7}{2}cos(2t),[V]$

E$)$ none of the above.

$14.$

This circuit has been on for a long time so that nothing is changing over time. The energy stored by the inductor and capacitor is

A$)0$ Joule

B$)\frac{25}{54}$ Joule

C$)\frac{75}{2}$ Joule

D$)\frac{3}{27}$ Joule

E$)$ none of the above.

$15.$ The operation $\frac{(widehat(A))+(widehat(B))}{(widehat(C))}$ with widehat$(A)=\frac{\sqrt[\phantom{2}]{3}}{2}-j\frac{1}{2}$;widehat$(B)=\frac{1}{{?}_{30}}$;widehat$(C)=2e^{-j90}$ results in

A$)\frac{\sqrt[\phantom{2}]{3}}{2}j$

B$)-\frac{\sqrt[\phantom{2}]{3}}{2}j$

C$)\frac{1}{2}$

D$)-\frac{j}{4}$

E$)$ none of the above.

$5/10$