What is the time constant in an RC integrating circuit if a 22 $\mathrm { k } \Omega$ resistor is in series with a 0.02 $\mu \mathrm { F }$ capacitor?
A) 0.044 $\text { HS }$
B) 0.44 s
C) 0.044 ms
D) 0.44 ms

Question

What is the time constant in an RC integrating circuit if a 22 $\mathrm { k } \Omega$ resistor is in series with a  0.02  $\mu \mathrm { F }$ capacitor?
A)  0.044  $\text { HS }$
B)  0.44 s
C)  0.044 ms
D)  0.44 ms

Quizplus · Accepted Answer

The time constant $\tau$ for an RC circuit is given by $\tau = R \times C$. Here, $R = 22 \, \text{k}\Omega = 22,000 \, \Omega$ and $C = 0.02 \, \mu\text{F} = 0.02 \times 10^{-6} \, \text{F}$. Thus, $\tau = 22,000 \times 0.02 \times 10^{-6} = 0.44 \times 10^{-3} \, \text{s} = 0.44 \, \text{ms}$.

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