14. Consider the RC network shown below, where the input voltage is a rectangular pulse shown to its right.
2kΩ
v(V)
10
Vi
20F
0°
t(ms)
40
(a) Find the impulse response h(t) of the network.
(b) Use the convolution integral to find v(t) and sketch it for 0 < t < 100 ms.
(c) Now assume that the resistor's value decreases to 200 Ω. Repeat parts (a) and (b).
(d) Does decreasing the resistor's value increase or decrease the memory of the circuit? Hint: Use your two sketches and consider which network comes closer to transmitting a replica of the original input voltage.