3-25Figure 3-23.—Dc applied to an equivalent transmission line.Since none of the charge is lost, the total charge leaving the battery during T is equal to the totalcharge on the line. Therefore:Q = IT = CEAs each capacitor accumulates a charge equal to CE, the voltage across each inductor must change.As C1 in figure 3-23 charges to a voltage of E, point A rises to a potential of E volts while point B is stillat zero volts. This makes E appear across L2. As C2 charges, point B rises to a potential of E volts as didpoint A. At this time, point B is at E volts and point C rises. Thus, we have a continuing action of voltagemoving down the infinite line.In an inductor, these circuit components are related, as shown in the formulaThis shows that the voltage across the inductor is directly proportional to inductance and the changein current, but inversely proportional to a change in time. Since current and time start from zero, thechange in time (DT) and the change in current (DI) are equal to the final time (T) and final current (I). Forthis case the equation becomes:ET = LIIf voltage E is applied for time (T) across the inductor (L), the final current (I) will flow. Thefollowing equations show how the three terms (T, L, and C) are related:For convenience, you can find T in terms of L and C in the following manner. Multiply the left andright member of each equation as follows: