anonymous
  • anonymous
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 ?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
i=C dv/dt
anonymous
  • anonymous
\[dv = \frac{i dt}{C}\]
anonymous
  • anonymous
integrate both sides

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anonymous
  • anonymous
\[v= \frac{i t }{C} +B \] where B is a constant
anonymous
  • anonymous
when t=0 , v=10 , therefore B =10
anonymous
  • anonymous
so \[v(t) = \frac{ i t}{C} +10\]
anonymous
  • anonymous
now rearrange for t

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