engineering recuitment HPCL Junior Executive 2025 Mock Test Network Theory Transient Analysis Step Response of First Order Circuits
In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current I(t) (in mA) for 𝑡 > 0?
1
\(I\left( t \right) = \frac{5}{3}\left( {1 - {e^{ - \frac{t}{\tau }}}} \right),\tau = \frac{2}{3}\;msec\)
2
\(I\left( t \right) = \frac{5}{2}\left( {{e^{ - \frac{t}{\tau }}}} \right),\tau = \frac{2}{3}\;msec\)
3
\(I\left( t \right) = \frac{5}{3}\left( {1 - {e^{ - \frac{t}{\tau }}}} \right),\tau = 3\;msec\)
4
\(I\left( t \right) = \frac{5}{2}\left( {1 - {e^{ - \frac{t}{\tau }}}} \right),\;\tau = 3\;msec\)