Question

Problem 1 Given the circuit shown in Figure 1. Determine the value of V1 and 12. Hint: Convert mutual inductance in equivalent model with correct polarities. j5 12 + 12 10/0° Av j10 22 j10 Ω 1+ 100/0° V Figure 1 Problem 2 Obtain V, and V2 in the ideal transformer circuit of Figure 2. Hint: Convert current to voltage source 1:4 820° 102 Vig19 V2 1252 420° A Figure 2. Bonus Problem Find v(t) for the circuit in Figure 3. Hint: Convert current source to voltage source and redraw the circuit with equivalent model of mutual inductance. 5 H + 2 cos(10t) A 10 Ω 2012 10 H ell ell 5 H v(t)

Please help me with all. 3 questions. I need to use it to study for the main deal

thank you!

Answer 1

problem li ůsor Circuit ilong jlom 100 LOV By considering the given apply analysis both the loops : mesa TO LOA ",= (10) Ciolo) (152) i 100 vt is a (or) and + 10o Lo 0 - gs. Cto Lo) + i to F iso loo A V ilo so Cil-2) А ilo 5 Cjl-2) А i А & Rectangular form qr $ + 10 (552410? Ltant 4 lor 22 A & Polar 2 11.18 L 63.4355° Form ford Vi equation re & + but I reme ist (sti to) i 100 [;100 is (50+j102] [;100- ; 55 -;250) [ 175 - fisso 97 + tits bor) v, √5 82 + 7512 Ltan 1 90.138 L 56.31° Problem 2: voltage tuo Current sources Toons from the be low sources as shocom tor 14 480 80 L using 12 [ At nesh- CO mesh analysis ~80 t co2, tv, Vi t to a 80 At trans formes terminals! = NU, I 4 V 2 W = 4 ( Vol Voltage ) hears formation Jatro and nu2 t Iz 12 +48 50 0 12 I2 -48= es ory 12 Ia -48 4 V Cors va - 121,748 ET HT2 12 = 422 48 lin 4V, 32, - it gives : ie equation equation By solving 4V, 2 16.744 V // V 66.976 Bonus Problem: voltage source Convert current source SH W + VI? It lor SH loh i#: 2 cos(lot) 2 Loon VAI= 20 Loo [ polar form =) V VH)= 20 cos (10+) (siausorden form ]