Question

2. A circuit with an ideal ransibrmer is shown in Figure. The voltage source 100v2sin(1000t) v., and R100 2, C 8 F and L 2 H. e(t) (a) Draw an equivalent circuit referred to the source side (b) Determine the turns ratio a = maximum; such that the current rms value I can reach the (c) Find the output voltage phasor L across C in the case of (b). R L IA M e

Answer 1

o] given circuit is R 4 WWm L2 e = 400v2 Sin(1000 t) v R=100 L=2H C= 8UF uvalent circuit retferred to source side Transtering from secondary to when primary Zprin = Zseet (M) let na : Zp= zsxa? = ANAL

The above circuit in realtance's is mee jwe jware رفيعة . b] Xe= just = * [tooo]x 2 = j 2000 Xe= jware =j vooox sxvõtka? = njeza R= 1001 e=10012 Sios (1000t] a=? at Imar Iman occur's only at resonance condition - ie 1xLFKCI → 32000151 3 a=0.25 To a= N1 = 0.25 ~ at Iman condition

ra ve phasor at Imar condition at Imax xc =-;2000 Lo referred to ang Imax = Voms Iman= look 100 Imax= 140 .: Ve= Imanx tc Vc = 1 Lox -j 2000 Vc = I l0 x 2000190 IV = 2000 290 treffered to primary = Ve = 2000/-90 Veşee = [025] x2000 190 Va pe = 8000496 volt Lo reffered to secondary