Discharging a Capacitor: How Long Does it Take?

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SUMMARY

The discussion centers on determining the time it takes for a 5.0 microfarad capacitor to discharge through a 2000 ohm resistor. The time constant, calculated as τ = R × C, is 0.01 seconds, indicating that the charge decreases by a factor of 1/e every 0.01 seconds. To find when the charge is considered unmeasurable, it is essential to define a threshold for "measurable charge," which is not provided in the discussion. The options presented for the shortest time include 0.001 s, 0.5 s, 10 s, and 3600 s.

PREREQUISITES
  • Understanding of capacitor discharge principles
  • Familiarity with the time constant formula (τ = R × C)
  • Knowledge of exponential decay in electrical circuits
  • Basic concepts of measurable charge thresholds
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  • Learn how to calculate the charge remaining on a capacitor over time
  • Explore definitions and thresholds for measurable electrical charge
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Jimmy25
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Homework Statement



What is the shortest time after which there would be no measurable charge on a 5.0 microfarad capacitor that is charged, then discharged across a 2000 ohm resistance.

a. 0.001 s
b. 0.5 s
c. 10 s
d. 3600 s

Homework Equations


The Attempt at a Solution



According to the time constant the charge on the capacitor should decrease by a factor of 1/e every 0.01 s according to my calculation.

I don't know how to answer the question though.
 
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How much charge is considered unmeasurable?
 
Last edited:
That's my question. How do I answer this without knowing that?
 

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