## anonymous 5 years ago How long will it take to discharge a 10μF capacitor from 10V to zero if the current through the capacitor is constant and equal to 2A ?

1. anonymous

i=C dv/dt

2. anonymous

$dv = \frac{i dt}{C}$

3. anonymous

integrate both sides

4. anonymous

$v= \frac{i t }{C} +B$ where B is a constant

5. anonymous

when t=0 , v=10 , therefore B =10

6. anonymous

so $v(t) = \frac{ i t}{C} +10$

7. anonymous

now rearrange for t