JEE PYQ: Capacitance Question 19
Question 19 - 2020 (06 Sep Shift 1)
For the given input voltage waveform $V_{in}(t)$, the output voltage waveform $V_o(t)$, across the capacitor is correctly depicted by:
(Circuit: 1 k$\Omega$ resistor in series with 10 nF capacitor, input is 5V square pulse)
(1) Charging/discharging exponential curve
(2) Rounded peaks
(3) Triangular wave
(4) Sharp exponential charging
Show Answer
Answer: (1)
Solution
When first pulse is applied, the potential across capacitor: $V_0(t) = V_{in}\left(1 - e^{-\frac{t}{RC}}\right)$. At $t = 5\mu$s: $V_0 = 5(1 - e^{-0.5}) = 2$ V. When no pulse: discharging. $V_0(t) = 2e^{-t/RC} = 1.21$ V. The graph (a) correctly depicts this.
BETA
