Consider $A$ in the circuit as $1\mathrm{.}000.$ The circuit shown in the given figure is subjected to the waveform represented in the figure. Determine the steady$-$state voltage $V(t)$ in a Fourier series representation.

The steady$-$state voltage $v(t)$ in a Fourier series representation is

$v_1(t)={\displaystyle \underset{n=1(odd)}{\overset{}{}}}(\frac{40}{n})\frac{\sqrt[\phantom{2}]{1+(An{)}^2}}{\sqrt[\phantom{2}]{1+(Bn{)}^2}}cos(10n-90+ta{n}^{-1}Cn-ta{n}^{-1}Dn)V$