(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find the greatest current through the capacitor with a capacitance of C=1.33uF, where the applied voltage is given by V = 250t^2 - 200t^3 volts.

2. Relevant equations

i = C(dV/dt)

3. The attempt at a solution

so i take the derivative of V:V'= 500t-600t^2...

and find values for time and i get

0= 100t(5 - 6t)

then t = 0, and 5/6.

testing these values in the second derivative V" = 500-1200t...I find 5/6 to be maximum...

plugging into the equation for i = (1.33*10^(-6))(500(5/6) - 600(5/6)^2)

which equates to zero...bah, this can be right...what am i doing wrong...am i taking the wrong derivative or something

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# Current through capacitor

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