In order for a circuit to respond quickly, its time constant should be short. In a circuit involving resistance and capacitance, which of the following choices would result in the shortest time constant?
A) R = 75 $\Omega$, C = 75 $\mu$F
B) R = 200 $\Omega$, C = 200 $\mu$F
C) R = 300 $\Omega$, C = 75 $\mu$F
D) R = 100 $\Omega$, C = 30 $\mu$F

Question

Quizplus · Accepted Answer

The time constant (τ) is given by τ = R * C. The combination with the smallest product of resistance (R) and capacitance (C) will have the shortest time constant. For option D, τ = 100Ω * 30μF = 3000, which is the smallest among the given options.

In Order for a Circuit to Respond Quickly, Its Time Ω\OmegaΩ

In Order for a Circuit to Respond Quickly, Its Time $\Omega$