alleryStart learning →A 1.00 kilohm resistance charges an 8.00 microfarad capacitor. What is the time constant of the circuit?
A0.125 milliseconds
B8.00 microseconds
C8.00 milliseconds
D80.0 milliseconds
Answer & Solution
Correct answer: C. 8.00 milliseconds
1. The time constant is the product of resistance and capacitance.
2. Here R is 1000 ohm and C is 0.00000800 F.
3. Multiplying gives (1000 ohm)(0.00000800 F) = 0.00800 s, which is 8.00 milliseconds.
4. Reading the answer as 8.00 microseconds instead carries the micro of the microfarad straight into the time, which the multiplication does not do.
_Source: OpenStax College Physics (CC BY 4.0), Ch 21 "Circuits and DC Instruments", section 21.6 DC Circuits Containing Resistors and Capacitors_
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