The electrical network shown has an independent voltage source $(10 \mathrm{~V})$ and a current source ( $1 \mathrm{u}(\mathrm{t}) \mathrm{mA}$ ).

The voltage across the capacitor at time instants (in seconds) $t=0^{+}, t=0.50$, and $t=\infty$, respectively, is:

The switch ( S ) closes at $t=0 \mathrm{sec}$. The time, in sec the capacitor takes to charge to 50 V is __________ . (Round off to one decimal places)

The circuit shown in the figure is initially in the steady state with the switch K in open condition and $$\overline K $$ in closed condition. The switch K is closed and $$\overline K $$ is opened simultaneously at the instant $$t=t_1$$, where $$t_1 > 0$$. The minimum value of $$t_1$$ in milliseconds, such that there is no transient in the voltage across the 100 $$\mu$$F capacitor, is ___________ (Round off to 2 decimal places).

A 100 Hz square wave, switching between 0 V and 5 V, is applied to a CR high-pass filter circuit as shown. The output voltage waveform across the resistor is 6.2 V peak-to-peak. If the resistance R is 820 Ω, then the value C is ______ μF.

(Round off to 2 decimal places)