Question

In the below figure if R value is increased then which of the following is true?

(a) Slower the rate of decay of v (t)

(b) Greater the rate of decay of v (t)

(c) Decay rate is independent of R

(d) Decay rate depends only on the capacitor value

I got this question during an online interview.

This is a very interesting question from Elementary Signals in section Signals and Systems Basics of Signals and Systems

Answer 1

Right option is (a) Slower the rate of decay of v (t)

Best explanation: In the circuit shown voltage across capacitor decays exponentially with time at a rate determined by time constant RC. Hence the larger the resistor, the slower will be the rate of decay of v (t) with time.