Consider the circuit shown: R1 100 Ω V1 sine ☑ 60 Hz 10 Vrms 1:1 سنا ли R2 1 Ω Figure 1: Impedance Matching Circuit 1. Calculate the magnitude (in RMS) of the voltage across R2. 2. Calculate the average power being dissipated in R2. 3. Determine the transformer ratio that provides for maximum power dissipation in R2 (and what is that maximum power).
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- An ideal transformer has no real or reactive power loss. (a) True (b) FalseConsider an ideal transformer with N1=3000andN2=1000 turns. Let winding 1 be connected to a source whose voltage is e1(t)=100(1| t |)volts for 1t1ande1(t)=0 for | t |1 second. A2- farad capacitor is connected across winding 2. Sketch e1(t),e2(t),i1(t),andi2(t) versus time t.Consider Figure 3.4. For an ideal phase-shifting transformer, the imda nce is unchanged when it is referred from one side to the other. (a) True (b) False
- A single-phase, 50-kVA,2400/240-V,60-Hz distribution transformer has the following parameters: Resistance of the 2400-V winding: R1=0.75 Resistance of the 240-V winding: R2=0.0075 Leakage reactance of the 2400-V winding: X1=1.0 Leakage reactance of the 240-V winding: X2=0.01 Exciting admittance on the 240-V side =0.003j0.02S (a) Draw the equivalent circuit referred to the high-voltage side of the transformer. (b) Draw the equivalent circuit referred to the low-voltage side of the transformer. Show the numerical values of impedances on the equivalent circuits.In developing per-unit circuits of systems such as the one shown in Figure 3.10. when moving across a transformer, the voltage base is changed in proportion to the transformer voltage ratings. (a) True (b) FalseConsider a source of voltage v(t)=102sin(2t)V, with an internal resistance of 1800. A transformer that can be considered as ideal is used to couple a 50 resistive load to the source. (a) Determine the transformer primary-to-secondary turns ratio required to ensure maxi mum power transfer by matching the load and source resistances. (b) Find the average power delivered to the load, assenting maximum power transfer.
- (a) An ideal single-phase two-winding transformer with turns ratio at=N1/N2 is connected with a series impedance Z2 across winding 2. If one wants to replace Z2, with a series impedance Z1 across winding 1 and keep the terminal behavior of the two circuits to be identical, find Z1 in terms of Z2. (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance byat2 ?Consider Figure 3.25 of the text for a transformer with off-nominal turns ratio. (i) The per-unit equivalent circuit shown in part (c) contains an ideal transformer which cannot be accommodated by some computer programs. (a) True (b) False (ii) In the - circuit representation for real c in part (d), the admittance parameters Y11 and Y12 would be unequal. (a) True (b) False (iii) For complex c, can the admittance parameters be synthesized with a passive RLC circuit? (a) Yes (b) No1) Calculate the maximum RMS current in p.u. that guarantees the equality of losses between the deformed and non-deformed regime for a power transformer equal to 400 kVA with Pcp = 6% in two cases: a) the transformer feeds a twelve-phase converter Idc=40 A b) the transformer feeds a six-phase converter Idc=40 A.
- 10 A three-phase transformer is given. The number of turns of the high voltage winding is N1=850 and the number of turns of the low voltage winding is N2=34. The high voltage winding is energized with V1= 10 kV rms line-to-line and V2= 400 V rms line-to-line has been taken from the low voltage winding. What is the connection of the low voltage winding if the high voltage winding is Y-connected? Εισαγάγετε την απάντησή σαςQ2) For the linear transformer shown in figure below, find: a) Construct a frequency – domain equivalent circuit of the system b) Calculate the self – impedance of the primary circuit. c) Calculate the self – impedance of the secondary circuit. d) Calculate the impedance reflected into the primary winding. e) Calculate the scaling factor of the reflected impedance. 42 -j62 1:2 ww 120/0° V rms 20 N llWhat is the relationship between primary induced emf( E1) and applied voltage (V1) of a Transformer? O a. Both are unequal and in phase O b. Both are unequal and 180 degree out of phase O c. Both are equal and 180 degree out of phase O d. Both are equal and inphase