In the network shown below, the switch is closed to Position $1$ at $\backslash (\backslash$boldsymbol$\{$t$\}=\backslash$mathbf$\{0\}\backslash ),$ and then moved to $\backslash (\backslash$mathbf$\{2\}\backslash )$ after one time constant, at $\backslash (\backslash$boldsymbol$\{$t$\}=\backslash )\backslash (\backslash$mathbf$\{250\backslash$mu$\}\backslash$boldsymbol$\{$s$\}\backslash ).$ Obtain the expression of capacitor voltage for both the intervals and also sketch it for $\backslash (\backslash$boldsymbol$\{$t$\}>\backslash$mathbf$\{0\}\backslash ).$