Question

Find the Thevenin equivalent with respect to the terminals a, b of the circuit shown using node analysis. The voltage-dependent current source G1 depends on the voltage across a and b and has a gain of 0.01. Units for R1 R2 L1 C1 are Ohms, H, and F, respectively. The linear frequency is 50Hz. 1-1 Derive a formula for Vth in terms of all of the variables in the circuit. Please upload a file showing all your work for this question. Do not make numeric substitution at this point. R1 L1 R2 11 62mH 45 V1 G1 C1 22uF 0.01 AC 110 0 b

Answer 1

solutiosa -NM G RRUF Aciroo is shows as below. Bi 2 . + 3314.1641 Davab - 3 ha Vab=44 314-100 Giren frequeses f=5047 Inductive reactance XL = Jul, = 32750L = 1314-1621 capacitive reactasse Xe=g 314.1fc calculate the the versin's voltage across a 2b termina write down xch at rode re Na-n Bej 314.162, savab + a-kh Where Vab=fH tra- - Rajzlu.B21

Broglu. 1621 Ritj314.1621 write down ker at Mode H. -Va -> WH + 331.Cila BV 2\\u-15л (14 3314-6R20) Vah Bits 4-12 + 334, 8C V282= (1+534-168281)** substitute va in quation. (s. dB2+1) 44 = 0 Bit J314.16 V (1+5314. 1618251) 72-(0.0175+) (81784 484)) = 4,82 + B2 + J 314.16 BZG - B1-334-521-Delfi By J3 14 2 1 - 1 4+ [R2 hy noel Bift j (314.16 29-314-1644-33-14R22) FXR Ro BR-0.01 BiB2+3( 314.168.35-314-462-3-148311) The resin's ' roltage 15 torons of variables. calculate toge shoot carait correst through and terminals.

Bi Jaluth N08 since shoot circited, Do ob JT 3141th the circuit is Changed as bebwi BHR 1934-1824 Therests too pedance 24 - Ra B-GBP + J (B141ERG-314-164 314 314) Bit By + J 314.164 Zt R21 Rthe 314.1621) 2-Bros By R2 +334.10 RZ-Spel3URL) Theyenin equiralest circasit across and teror in is shown below