An inductor, a capacitor, and an alternating voltage source are connected L to each other as shown in the diagram. The voltages across the elements 0800 are given by constitutive laws: vL = Li'(t), vc = q(t)/C, and the EMF is given by E(t) = Eo cos(wt) where i(t) is the current in the circuit, q(t) is E (t) N the charge across the capacitor, L is the inductance, C is the capacitance, So is the amplitude of the alternating voltage source, and w is its angular frequency. As the current, i(t) is the same in all elements and i = dq /dt, Kirchhoff's Voltage Law tells us that Lq" + = E(t)