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Color_of_Cyan
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Homework Statement
a) For the circuit shown, determine the impedance ZL that results in maximum average power transfer to the ZLb) What is the maximum average power transferred to the load impedance?
Homework Equations
Thevenin, Norton procedures, voltage division, current division, etc etcMax. average power = 1/2(Vs/Rs + RL)2 * RLPL = (V/(Rs + RL))2*RLRs = RL
Js = -JL
The Attempt at a Solution
I actually do not know how specifically for here how to get the equivalent impedance for the load, but I assume it's the same as finding Thevenin resistance so...
5Ω || 20Ω = 4Ω 4+3j || -6j =
=(1/4+3j + -1/6j)-1=[ (6j-4-3j)/(24j-18) ]-1
= 24j-18 / 3j-4multiplying by conjugate now:
=> * (-3j-4)/(-3j-4)
= (-72j2 - 96j + 54j + 72)/(-9j2 - 12j + 12j + 16)
= (72 + 72 -42j)/25= 144-42j/25
=5.76 - 1.68j
RTh = 5.76Ω - 1.68jΩZL = 5.76 + 1.68jΩNow
average power = 1/2*(20/(5.76 + 5.76))2*5.76 = 8.68WNot sure if this is right
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