GATE ECE 2014 Set 2 | Question: 32

Question

In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current $I(t)$ (in mA) for $t > 0$?

                 

• A. $I(t)= \frac{5}{3}(1-e^{-t/ \tau}), \tau= \frac{2}{3} \text{msec} \\$
• B. $I(t)= \frac{5}{2}(1-e^{-t/\tau}), \tau= \frac{2}{3} \text{msec} \\$
• C. $I(t)= \frac{5}{3}(1-e^{-t/\tau}), \tau= 3  \text{msec} \\$
• D. $I(t)= \frac{5}{2}(1-e^{-t/\tau}), \tau= 3 \text{msec}$