- #1
MegaDeth
- 83
- 0
Homework Statement
A 100 micro F capacitor is discharged through a resistor of resistance 470K Ohms. Determine the 'half-life' of this circuit. The half life being the time it takes for the initial voltage to decrease by 50%.
Homework Equations
Is my answer correct? If not, what have I done wrong?
The Attempt at a Solution
Here's what I've done:
Using V = V(Initial)e^-(t/RC)
Since the initial V is double V, divide both sides by V which will result in, 0.5 = e^-(t/RC).
RC (time constant) = 47 seconds
Taking natural logs of both sides and re-arranging gives:
47*ln(0.5) = - t
so t = 32.6 seconds