ABSTRACT

Consider the first-order electric circuit with an inductor and resistor only shown in Figure 7.1 with the switch in closed position (including V 0 in the circuit) and in open position (so that V 0 is not part of the circuit). Suppose that the switch begins in the closed position so that constant voltage V 0 is applied for 0 ≤ t ≤ 1, then a step down in voltage from V 0 to 0 occurs at t = 1 as the switch is opened, and thus a constant applied voltage 0 is applied for t > 1: () L I ′   +   R I   = { V 0 , 0 ≤ t ≤ 1 0 , t > 1   https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315369617/f69eb282-64f6-4135-9298-c78b2160b02b/content/eq3641.tif"/> (a) <italic>RL</italic> circuit with switch in the closed position so that <italic>V</italic> <sub>0</sub> is included in the circuit. (b) <italic>RL</italic> circuit with switch in the open position so that <italic>V</italic> <sub>0</sub> does not contribute. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315369617/f69eb282-64f6-4135-9298-c78b2160b02b/content/fig7_1.tif"/>