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Googl
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What is meant by discharging capacitor half life (the description). I seem to be getting different description, I would just like for someone to confirm it here for me please.
If discharged through a resistor the capacitor voltage reduces exponentially via the equation
[tex] v = V_0 \, e^{-\frac{t}{RC}}[/tex]
Mathematically it's easy to represent an exponential of one base in other other base.
In this case the above exponential can be re-written as
[tex] v = V_0\, 2^{-\frac{t}{\log(2) \, RC}}[/tex]
where "log" is the natural logarithm.
From the above equation you can see that the "half life" is [itex]RC/\log_e(2)[/itex]
Thanks Uart,
I understand that, how would you describe half life (not mathematically or through equations).
you can see that the "half life" is [itex]RC/\log_e(2)[/itex]