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hw4soln

hw4soln - Practice Problem 11.5 Combining elements in...

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1 Practice Problem 11.5 8 5 j10 -j4 2A L Z 5 j10 8 -j4 17.9 26.6 V 5 1.79 63.4 A 8 j6 Using a series of source transformations we get the Thevenin equivalent circuit: 1.79 63.4 A Combining elements in parallel: 3.4146+j0.7317 3.4146+j0.7317 6.25 51.34 V Thevenin equivalent circuit: See MATLAB code next page ( ) ( ) 2 2 Th max 2 2 Th Th L L L L V R P I R R R X X = = + + + L Z L Z L Z L Z MATLAB CODE: clear; R=[0:0.1:5]; X=[-5:0.1:5]; for a=1:1:51 for b=1:1:101 P(a,b) = abs(3.9025-4.8781i)^2*((a-1)/10)/((3.4146+(a-1)/10)^2+(0.7317+(b-51)/10)^2); end end mesh(X,R,P) xlabel('Reactive Load'); ylabel('Resistive Load'); zlabel('Power'); Reactive Load: X L for maximum power transfer = -j 0.7317 Resistive Load: X L for maximum power transfer = 3.415

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