- #1
joeyjoey
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- Homework Statement
- A capacitor with an initial charge q0 is discharged through a resistor. In terms of the time constant tau, how long is required for the capacitor to lose the first one-third of its charge?
- Relevant Equations
- Q(final) = Q(max)e^(-t/RC)
tau = RC
(I have no idea how to use Latex and I apologize)
I already how to properly set it up and execute the equation with natural log etc.
2/3q0 = q0e^(t/RC)
2/3 = e^(-t/tau)
ln(2/3) = -t/tau
t = -ln(2/3)tauThe problem should be trivial; however, -ln(2/3)tau is apparently incorrect. So is ln(3/2). Is there something I am missing?
2/3q0 = q0e^(t/RC)
2/3 = e^(-t/tau)
ln(2/3) = -t/tau
t = -ln(2/3)tauThe problem should be trivial; however, -ln(2/3)tau is apparently incorrect. So is ln(3/2). Is there something I am missing?