图(a)电路化简后如上图,用节点电压法解题。
(1/4 + 3/4) * Ucb = 6/4 + 2
Ucb = 3.5V
Uab = 3.5 * 3/4 = 2.625V
Rab = (4 // 2 + 1) // 3 = 1.3125 Ω
当 RL = 1.3125Ω 时获得最大功率:
Pmax = (2.625/2) ^2 / 1.3125
= 1.3125 W
(1/2 + 1/2) * Udc = 6/2 - 4 * i1
i1 = (6 - Udc) / 2
解得:
Udc = 4.5V
i1 = 0.75A
Uab = Udc + 2 * i1
= 6V
(1/2 + 1/2 + 1/4) * Udc = 6/2 - 4 * i1 - 2 * i1/4
i1 = (6 - Udc) / 2
Udc = 10.5V
i1 = -2.25A
Isc = (Udc + 2 * i1) / 4
= 1.375A
Rab = Uab / Isc
= 6 / 1.375
≈ 4.36 Ω
当 RL = 4.36Ω时获得最大功率:
Pmax = 3 * 3 / 4.36
= 2.06 W
http://wenku.baidu.com/view/1a26938d8762caaedd33d4bc.html
有关概念见链接,第二题你要重新计算,一般答案不会是约等数。