differential equations for the electrical oscillator
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We derive the differential equation describing the current change in a series RLC circuit. VR(t)=RI(t),VC(t)=1Ct∫0I(τ)dτ,VL(t)=LdIdt. VR(t)+VC(t)+VL(t)=E(t), ... Hence, damped oscillations can also occur in series RLC-circuits with certain values of the parameters.
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