# Find the value of a capacitor given percent of the initial value

1. Apr 23, 2013

### rocapp

1. The problem statement, all variables and given/known data

A capacitor is discharged through an 80.0 ohm resistor. The discharge current decreases to 23.0% of its initial value in 1.50ms .

What is the value of the capacitor?

2. Relevant equations

t=RC

3. The attempt at a solution

1500 μs = 0.23 RC
RC= 6521.74

C= 6521.74/R

C= 6521.74/80 = 81.5 μF

$$v(t)=V_0e^{-t/RC}$$