Physics II / Electromagnetic Measurement
Practice question · Numerical answer

A capacitor discharges through a resistor with a time constant of 2.0 s. What percentage of the initial voltage remains after 2.0 s? Give the answer to the nearest whole number.

Hints
  1. After exactly one time constant the voltage has fallen by a factor of e.
  2. Compute 100 divided by e, roughly 2.718.
Show the answer

37 (answers within ±1.5 count)

Why

After one time constant V/V0=e1=0.368V/V_0 = e^{-1} = 0.368, so about 37 % remains. This is the definition of the time constant, and it is why τ\tau can be read straight off a decay trace.

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