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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 ?
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i=C dv/dt
\[dv = \frac{i dt}{C}\]
integrate both sides
\[v= \frac{i t }{C} +B \] where B is a constant
when t=0 , v=10 , therefore B =10
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so \[v(t) = \frac{ i t}{C} +10\]
now rearrange for t
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