Q1) i) Write down an expression for the complex impedance Z1 viewed from the primary side of the ideal transformer shown in the circuit below. The transformer has a turns ratio n = 2. Calculate the supply current i₁, expressing your answer in phasor form. i₁ 30 -j9Q j24 Ω 20 20°V г Z₁ 1 1:2 18 Ω
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- (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 ?Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor, and a 4 capacitor. (a) Draw the circuit diagram. (b) Compute the series impedance. (C) Determine the current I delivered by the source. Is the current lagging or leading the source voltage? What is the power factor of this circuit?Given Zo-j407 2, R₁143, R6317 52 and a 0.04, what is the magnitude of the source voltage Vs (in V rms) in the primary of the ideal transformer? Vs R₁ ww Answer: Zc Zc R₁ Use up to 2 digits after the decimal point if necessary in your answer below VL-28020 V TR
- ImR: Linear Trans former i, the Prequency Domain The parameters of a Certain linear transformer are k- 0.9. The trans former Couples an impedance consisting of an 5oo2 resistor in Series with a 7HE Capacitor to Sinusoidal voltage has an internal impedance of 300+j200 n anch requancy Foo vad s Fo0 rad/s the Selfimpedance of the primary circult. Calculate Calculate the Selfimpedance of the Secondary Circuit. Calculate the impedancereflected into the pimay winding (4) Calculate the Scaling factor for the reflecteal impedance Calculate the impedance Seen looking into the primary terminals of the trans former Calaulade the TaRvenim equivalentwith respect to the terminals 2,3 Plus bepiThe average value of sinusoidal varying voltage is more than its r.m.s. value. Select one: O True O False Which of the following formula is CORRECT? a. E= - L d0/dt O b. E = - N dl/dt O . L= NI / O O d. W = 0.5 12L In a step down transformer, number of turns in the primary winding is lesser than the number of turns in the secondary winding. Select one: O True O FalseA Volt ac voltage is applied to the primary input of a transformer. A load of B ohms at the output it depends. Since the primary spiral number of the transformer is C and the secondary spiral number is C, the primary current is, Find the secondary voltage and secondary current. A= 752 B=257 C=257 Ç= 16
- The turn ratio and type of transformer required for the circuit shown in figure, where the average value is 15.9 and the input voltage is 120v rms: reeeeeee 0.294 step up O 0.147 step down eeeeeee 0.294 step down 2:1 step down O 5:1 step down Other: R₁The primary of a current transformer takes 1 A at a power factor of 0.4 when it is connected across a 200-V, 50Hz supply and the secondary is on open circuit. The number of turns on the primary is twice that on the secondary. A load taking 50 A at a lagging power factor of 0.8 is now connected across the secondary. What is now the value of primary current?primary of a certain transformer takes 1 a at a power factor of 0.4 when it is connected acrossa 200-v, 50-hz supply and the secondary is on open circuit. the number of turns on the primary istwice that on the secondary. a load taking 50 a at a lagging power factor of 0.8 is now connectedacross the secondary. what is now the value of primary current ?
- A generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:20), and a transmission line (R=20 Ohm and X-60 Ohm), the base values for this system are chosen to be 480 V and 10 kVA at the generator. The line base impedance is: Select one: O a. None of the above O b. 9216 Om O c. 1.25 Ohm O d. 13 Ohm O e. 520 OhmмCQ 12 An ideal step-down transformer has 200 primary turns and 50 secondary turns. If 440 volts (rms) is = l10 Brms (A) (B) (C) D) (E) 3.6 A (rms) 7.3 A (rms) 11.4 A (rms) 15.7 A (rms) 12.4 A (rms) I=NA 40-kVA, 8000/230-V distribution transformer has an impedance referred to the primary of 16 + j120 0. The components of the excitation branch referred to the primary side are Rc = 150 kQ and Xc = 20 ka. If the primary voltage is 8150 V and the load impedance is ZL = 0.5 - j*2.72 what is the secondary voltage?