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 a 11 62mH 45 V1 G1 C1 22uF 0.01 AC 1100 нь 2

Answer 1

solution a NN -Man Aclo o is shown as below. Bi Ya a + 3314.16 Dollab -} -a Vab=444 314.160 Given frequency f=5047 Inductire reactance XL = Jul, = 3275024 =1314.1621 capacitive reactasse wa 314.166 calculate the the Vesin's voltage across a 2b termina write down ker at rode re va-n 3. avab + a-kh BIJ 314.162, Navy Ratjalu. 621 -tak tra-fth

va -Tool + 12 John REj314.62 kirite down ker at rode th. BiBlu- 1624 H-Va 3lyuta la = +3314.n6 B2 = (1+jay.16B29 44 substitute va in quation. (14 3314-6829) VH - (0.0 B2+1) 44 = 1 B1+53141SL V(+134. 168261) F2-62.01841) (BjeJ3V 123] =18 R2 +jsly. 168²9 B1-3314-164 - Dolfis, - 3 3 14 22 L J = VR2 4+ [R2-2-00 Bifat j (Sh. 1624-314-1621-93-14R24) FXP Ra-Ro-01B182 +3 (31446836-314-464-30148311) There's voltage god vassbles. calculate toge Shot Citait correst through as terminals.

Bi Blythe a - Dr.Ovab 7 ] Vab=ov, since short circited. ". The circuit is Changed as below. 31464 2334-EL, so Isc = BARAJ 314.1624 Theredits too pedaoce 1k Baboo BP2 +3 (314.16R2G-314-164431484) V Bit B2 + J 314. 164 Rol Rithy +1314.162) B2-B-ool Bifa tj 314.16 REG 316L, 3.14 R LY Thevenio equiratest cerair across and terosinas is shan below VH

Bog using nomesical values, Thevesin's rottege is From equation & 45% noli 45-11-0.drustutjßy. 16x45x22000 314.16x62x16 - 3-1644 5xlm 450 100 8 23.05+3 (14.-19.48-8046) 45 * 108 - 45xnol: 32.351-26110 29.05-) 14.24 153.0 261 v tom en ZTH = 451 145 & 2314, 16862003). 45-11-0d xysnuti Blu Bn4532240 -3-14 x 45 x 62x103) - 45x 56+ 7 19:48) -45x 59.29 119, 18 29.05 glu.sy Z = 82.471 45:29