quiz6fa00_sols

quiz6fa00_sols - QUIZ 6 FALL 2000 The circuit contains only...

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Unformatted text preview: QUIZ 6 FALL 2000 The circuit contains only dependent sources Determine the Thevenin equivalent at a - b. Use a current probe R2 a R1 b a VP R2 This is the equivalent circuit. We need to determine R_th b Since we need to determine V_p and there are only two non reference nodes we will use node analysis V1 + VX aVX _ VP VP − V1 ( R2 = 2 R1 ) + = 0 /* R2 R1 R2 V −V V ( R3 = 2 R2 ) @ V1 : − aVX + 1 P + 1 = 0 /* R3 = 4 R1 R2 R3 Controlling variable (in terms of node voltages): V X = VP @ VP : − I P + R3 b 3VP − V1 = 2 R1 I P − (2 + 4aR1 )VP + 3V1 = 0 Solve for V_p 6 R1 I P VP = 7 − 4aR1 a R3 R 1 = , R2 = , R3 = , a = R1 IP + VX aVX _ RTH RTH = VP 6 R1 = I P 7 − 4aR1 R_1(k) R_2(k) R_3(k) a (1/k) R_Thev 1 2 4 1 2 2 4 8 0.5 4 QUIZ 6 FALL 2000 Find the Thevenin equivalent circuit at a - b VS supernode VOC V1 a + -+ aVX This the equivalent circuit to be determined + VX _ R RTH − b VTH + - RTH b For open circuit voltage aVX + Controlling variable: V1 VOC + =0 R R − V1 = VS VS 2 + aR R(k) V_S{V] a(1/k) V_Thev R_Thev VS a -+ aVX VOC = V X = VOC R + VX _ VOC = I SC Only one supernode. Constraint due to source: VOC Zero current! VTH = VOC VOC R VS = , R = , a = KCL@ Supernode a R I SC b Circuit for short circuit current VX = 0 I SC VS = R RTH = R 2 + aR 3 12 0.666667 3 0.75 4 24 0.5 6 1 ...
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This note was uploaded on 12/01/2011 for the course EE 2120 taught by Professor Aravena during the Fall '08 term at LSU.

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quiz6fa00_sols - QUIZ 6 FALL 2000 The circuit contains only...

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