Differential Equations RLC Circuits

[kings13]

Homework Statement

A series RLC circuit has an electromotive force given by E=200e^(-100t) V, a resistor of 80 ohms, an inductor of 0.2 H, and capacitor of 5x10^-6 F. If the initial current and charge on the capacitor are zero, find the current at any time t>0.

Homework Equations

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The Attempt at a Solution

i am not begging for someone to solve the whole problem for me, just to get it started

 

[Curious3141]

OK, start by observing that the same current is flowing through all three components (R, L and C) at any time t because they are in series. Call this current $I(t)$.

Let the voltage drop across each of the components be represented by $V_R(t), V_L(t)$ and $V_C(t)$.

Can you now list some equations relating $I(t)$ to each of those voltages?

What can you say about the sum of those three voltages (Kirchoff's laws)?