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rakhil11
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Homework Statement
An inductor with value L and a capacitor with value C are connected in series to a power source. At time t, the voltage of the power source (i.e. the voltage across both the inductor and capacitor) is given by ## v(t)=Asin(\frac{2t}{\sqrt{LC}}) ##. If the voltage across the capacitor at time 0 is 0 and at time ##\frac{\pi \sqrt{LC}}{2}## is B, what is the voltage u(t) across the capacitor?
Homework Equations
##I = \frac{dV}{dt}C##
##V = \frac{dI}{dt}L##
The Attempt at a Solution
Honestly, I'm pretty stuck. I've tried plugging the expression for current from the capacitor into the inductor equation, and then ## v(t)=Asin(\frac{2t}{\sqrt{LC}}) = \frac{dI}{dt}L+\frac{1}{C} \int_{t_0}^{t} I dt##, but neither approach got me very far. Any help would be greatly appreciated!