Problems 1. An RLC circuit consists of a resistor, inductor, and a capacitor in series along with a battery as their components. Expressed from total energy, we see the total charge as determined by the differential equation dd2q dig dt 0 Show that from the general solution for a harmonic oscillator under a damped oscillation with the expression that is analogous, L dzm dx b k = arndt2 + dt + m 0, gives us the solution of charge as q(t) : Qmwe_R/2L cos wit, where the angular frequency of the circuit is _ ;_ 2 \"'3" LC 2L Hint: Start with working through nding a general solution for the harmonic oscillator for mechanical energy. Apply it to Electromagnetic energy to nd the solution above. We can nd that this type of solution is similar. 1/2