Page 149 - Schaum's Outline of Theory and Problems of Electric Circuits

FIRST-ORDER CIRCUITS
138

Fig. 7-15 [CHAP. 7

Fig. 7-16

þ
At t ¼ 0 , ið0 Þ¼ 5=5 ¼ 1 A and vð0 Þ¼ 0. During the transition time t ¼ 0 to t ¼ 0 , the inductor
current is continuous as there exists no voltage impulse to produce a discontinuity in it. Therefore,
þ
þ
þ

þ
ið0 Þ¼ ið0 Þ¼ 1 A. To find vð0 Þ, write KVL at t ¼ 0 : v s ¼ RI þ v and note that v s ð0 Þ¼ 0. Therefore,
þ
þ
þ
vð0 Þ¼ v s ð0 Þ rið0 Þ¼ 5V.