Question

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 ?

Answer 1

i=C dv/dt

Answer 2

\[dv = \frac{i dt}{C}\]

Answer 3

integrate both sides

Answer 4

\[v= \frac{i t }{C} +B \]

where B is a constant

Answer 5

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

Answer 6

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

Answer 7

now rearrange for t