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\frac{d}{d t} (v_L) = a_L v_C = - v_R v_R = v_L \frac{d}{d t} (q_C) = v_C u_C = u_R + u_L u_C = \frac{q_C}{C} u_R = v_R R u_L = a_L L P_C = u_C v_C P_R = u_R v_R P_L = u_L v_L P_tot = P_C + P_R + P_L \frac{d}{d t} (E_R) = P_R E_C = \frac{0.5 1}{C} {q_C}^{2} E_L = 0.5 L {v_L}^{2} E_tot = E_C + E_L + E_R

Source: Derived from workspace The Physics of Physiology - Example 1: An electrical circuit at changeset d4accf8429db.

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