solved numerical problems on transformers

For a practical two winding transformer, the knowledge of approximate equivalent circuit is of utmost importance in order to predict its performance. When a transformer is loaded with a constant primary voltage , the secondary voltage decreases for lagging power factor load, and increases for leading pf load because of its internal resistance and leakage reactance . The collector load is 1 k. Figure 2. Z 01 = Equivalent Impedance of transformer from primary side; Z 02 = Equivalent Impedance of transformer from Secondary side; Input & Output Voltage Equations. Basic electronics Solved problems Sasmita. SOME QUICK POINTS FOR SOLVING PROBLEMS ON 3-PH TRANSFORMERS WITH UNBALANCED LOADS3 becomes exactly similar to Case 1. Important Questions of Transformer. If the power factor of the load is 0.85, determine the efficiency of the transformer (i) on full load and (ii) on half load. There is a constant frictional force of 42 N opposing the motion. This constant is called volts per turn and determines how many volts there are per each turn of either the primary or the secondary winding. Assume ac to be nearly one. secondary voltage from centre tap to each end of secondary is 50 V and load resistance is 980 . 5 DC Generator Problems with Solution Part 1. E load =. 60 = 1380 turns. X l1. Losses In Transformer: Core / Iron Losses. M = mutual inductance in k = coefficient of coupling between two inductances L. 1. and L. 2 = values of the two inductances. If a signal of 500 mV is applied between emitter and base, find the voltage amplification. A brief quiz completes the activity. Transformer Collection of Solved Problems Transformer Task number: 1548 A transformer has 500 turns of the primary winding and 10 turns of the secondary winding. I'm Gopal Krishna. The losses that occur inside the core; Hysteresis Loss Explore how to use the transformer formula to solve problem associated with electrical transformers . \[\frac{V}{N}=\frac{{{V}_{1}}}{{{N}_{1}}}=\frac{{{V}_{2}}}{{{N}_{2}}}\] is a constant. Examples precede the problems. Solution: RMS value of emf induced in The mass is 15 kg and the angle of the incline is 45. Numerical problems for efficiency calculation.

In a given transformer for given applied voltage, losses which remain constant irrespective of load changes are 23. A common method of cooling a power transformer is 24. The no load current in a transformer lags behind the applied voltage by an angle of about Give the emf equation of a transformer and define each term Emf induced in primary coil E1 = 4.44 fmN1 volt Emf induced in secondary coil E2 = 4.44fmN2 volt Where f is the frequency of AC input m is the maximum value of flux in the core N1, N2 are the number of - From the above equation force can be solved as a function of the flux and the mechanical terminal P lines =. The secondary voltage is given by 250V, determine the primary voltage. Notes and Video Materials for Engineering in Electronics, Communications and Computer Science subjects are added. Primary winding voltage is . L=n. Frequency is 50 Hz. Example 1. Solution: Vp = 230 V. Vs =10V. this question is taken from book electric machine by I.J nagarath & D.P. Problem 1. Find : (i) the mean load current (ii) the r.m.s. oppposite of your defined polarity.) The transfer function of the LVDT along with its interface circuitry is highly dependent on the interface circuitry. V s = 250V. With a secondary transformer output of 1,320 watts and a primary input of 1,800 watts, calculate the efficiency of the transformer. Power . Example 3: The resistances and leakage reactances of a 30-kVA, 60-Hz, 2400-V:240-V distribution transformer are . a) Determine the secondary voltage if the secondary circuit is open and the primary voltage is 120 V. Known : Primary coil (NP) = 1200 loops. Worked example (numerical) using the Transformer equation A transformer is used to step a potential difference of 230 V down to 10 V. The secondary coil has 60 turns. Categories. Therefore, follow the steps listed for Case 1 to nd the primary line currents. Secondary coil (NS) = 1000 loops.

Re-calculate the load voltage, load power, wasted power, and overall efficiency of a professional engineer & blogger from Andhra Pradesh, India. In conjunction with Equation 1, one can understand that in a transformer the ratio. Solved Problems on Single Stage Transistor Amplifiers. DC MACHINES AND TRANSFORMERS LECTURE NOTES Dr. P Sridhar Professor & Head types of starters, numerical problems; Losses and efficiency: Types of losses, calculation of efficiency, condition for maximum efficiency. For this problem we only need the number of turns (N) and voltage (V). 1. 1 ) Suppose that a body is being pulled up by 20 m along a rough inclined plane with constant speed. Harmonics can cause computer equipment to lock up or cause the data to become garbled as well as causing transformers, motors, and neutral lines to overheat. If the primary coil has 600 turns, how many turns should be on the secondary coil? Non-linear loads such as switching power supplies draw current only at the peaks of the wave. The line has a reactance of 8% on base of 20MVA, 66 KV. The transformer formula is given by, V p / V s = N p / N s. Vp = Np / N s Vs = 60 / 100 x 250. % Voltage Regulation = [ { (No Load Voltage Full Load Voltage) / Full Load voltage} x 100] % Voltage Regulation = [ { (240V 230V) / 230} x 100] % Voltage Regulation = 4.347%. Transformer 2: The linear dimensions are times of transformer 1. Transformer is an electrical device that makes the transfer of energy by forming inductive coupling between the winding of its circuits. [CORRECTION] final answer is 16.92 NOT 19.92. Example 1: Solution: For maximum power transfer, the load resistance (referred to the primary) must be equal to the source resistance. Amplifier (10) Amplitude Modulation (18) Answer: Because electric power must be the same in both coils, the following relationship must be true. Hence, the core 1. T-shaped transformer equivalent circuit. value of load current. Basic electronics Solved problems Sasmita. Therefore when E1 is positivve (current out of left dot) then current flows into right dor which makes E2 negative (i.e. A transformer has primary coil with 1200 loops and secondary coil with 1000 loops. An alternating voltage, when applied to the primary of a transformer, produces an alternating magnetic field which induces EMF in the secondary windings. Solution: Given: Np = 60, N s = 100. The task now is to normalize these values using a common base. If the current in the primary coil is 4 Ampere, then what is the the current in the secondary coil. At no load: transformer 1.

R 1. The number of primary and secondary windings is 60 and 100 respectively. Then a = 400 4000 = 1 10. A common base transistor amplifier has an input resistance of 20 and output resistance of 100 k. Hey Engineers, welcome to the award-winning blog,Engineers Tutor. Np = ? The transformer r.m.s. 3. b) % of total bank current drawn by each transformer c) maximum bank load that can be handled without overloading either transformer Example 12-2 Solution (1) Lesson 12_et332b.pptx 10 a) Rated current of both transformers Transformer A: 100 kVA Transformer B: 200 kVA b) Percent current drawn by each transformer Convert %Z to actual ohms. Input and output voltage of a transformer can be found by the following equations. X l2 removes the need for the ideal transformer. Linear loads such as incandescent lights draw current equally throughout the waveform. Lets understand the concept of per unit system by solving an example. Solved Problems On Rectifiers. "A blog to support Electronics, Electrical communication and computer students". In this lesson some typical problems on transformer are solved with emphasis on logical steps involved. Per Unit System Practice Problem Solved For Easy Understanding. Solved Examples. Laminations and core material thickness are same for \$\begingroup\$ You defined E1 as positive when current flows out of the left dot. SOLVED PROBLEMS. R 2. Numerical Response 7. Watch Now 24 18.4k In the one-line diagram below, the impedance of various components in a power system, typically derived from their nameplates, are presented. the transformers are rated 20MVA,12.66/66KV and 66/12.66KV with leakage reactance of 10% each.

1. 2. The iron loss is 2.5 Kw and the primary and secondary voltages are 5 kV and 320 V respectively. Power factor at primary terminals: cos(9.58 ) = 0.9861 lagging . The numerical evaluation is based on Center Line Average (CLA) method. EXAMPLE 3: A 2200/500 V, single-phase transformer has the following winding resistances and reactances: R 1 = 0.5 , R 2 = 0.02 , X 1 = 3.75 , and X 2 = 0.05 .

Next, follow the steps listed below: 1. The turns ratio captures all the effects Circuit Model of Non-ideal Transformers Lesson 9_et332b.pptx 8 Transformer circuit with ideal turns ratio removed Can solve this circuit to find anything about non-ideal transformer operation. G. =. A synchronous generator and a synchronous motor each rated 20MVA, 12.66KV having 15% reactance are connected through transformers and a line as shown in fig. n is the number of turns The test problem considered in the present study concerns the equivalent circuit of the idealized single-phase shell-type transformer described in [3]. [PDF] 100+ Solved MCQs on Transformer. The produced magnetic flux is alternating in nature and lags the applied voltage by 90 0. The transformers Regulation is calculated as follows. Primary in , Secondary in , Unbalanced load in Say, the transformer rating is 4 KV / 400 V . Transformers are basically of two types i.e; Step up transformer and step down transformer. Primary winding current is . = Output I nput 100 = 1320 1800 100 = 73.33 = O u t p u t I n p u t 100 = 1320 1800 100 = 73.33 9. Calculate the number of turns of the primary coil. Follow below links to download MCQ Set. (Reoord your answer to 3 significant digits) Question: Numerical Response 7. Complete set of Video Lessons and Notes available only at http://www.studyyaar.com/index.php/module/107-single-phase-transformerUnderstanding the Problem, Example 2 . The In the circuit given in Fig.1, the transformer T 1 is a three-phase, D-Y connected transformer bank, composed of the above three single-phase identical transformers. A 400 kVA transformer has a primary winding resistance of 0.5 ohm and a secondary winding resistance of 0.001 ohm. FOURIER SERIES MOHAMMAD IMRAN JAHANGIRABAD INSTITUTE OF TECHNOLOGY [Jahangirabad Educational Trust Group of Institutions] www.jit.edu.in MOHAMMAD IMRAN SEMESTER-II TOPIC- SOLVED NUMERICAL PROBLEMS OF FOURER SERIES. Learners examine how the load resistance connected to the secondary coil of a transformer affects the primary current. Vp = 150 V. Example 2 PROBLEM DESCRIPTION The shell-type transformer under analysis consists of two concentric coils wound around the cores central limb. Basic electronics Solved problems Sasmita. Download 100 plus solved MCQs of Electrical Transformer. (a) Derive the equation of balance of a Schering Bridge. Find out the efficiency with which the force raised the mass. PROBLEMS. File Description: GATE Problem Solving Strategy; GATE 2017 to 2021 (Made Easy) GATE 2017 to 2021 (GATEFORUM) GATE 2017 by ACE; ACE PreGATE 2016 to 2020; 2. 1.2.4 Load Sharing between Two Transformers in Parallel Having Equal Voltage Ratio 11 Solved Examples 12 Supplementary Problems 41 2. A shunt generator delivers 450 A at 230 V and the resistance of the shunt field and armature are 50 and 0.03 respectively. FOURIER SERIES MOHAMMAD IMRAN SOLVED PROBLEMS OF FOURIER SERIES BY MOHAMMAD IMRAN Solution : Q5. SOLVED PROBLEMS . Q1. Using, Vp/Vs=Np/Ns => Np = (Vp/Vs). In a transformer for a doorbell, 115 V alternating current is to step-down to 24.0 V alternating current. Ns=60. KVA rating of the transformer is 450 KVA. Now, suppose we were to use a pair of perfectly efficient 10:1 transformers to step the voltage up for transmission, and back down again for use at the load. 2. If the primary voltage is 240 V, find the secondary voltage. Example 1: Suppose a transformer has a no load voltage of 240 volts and a full load voltage of 230 volts. A transformer cannot necessarily be connected to any arbitrary voltage or in an arbitrary fashion. In working with a transformer, special care must be taken for correct connection of its primary and secondary to the outside circuits. Ideal Transformer Example Problem 1. The primary winding of a transformer has 1000 turns. A 50-Hz, 90-kVA, 3800/220-V, single-phase transformer has h = j4.5 and = j0.02 the high and low sides leakage reactances, respectively.

A full-wave rectifier uses two diodes, the internal resistance of each diode may be assumed constant at 20 . EMF equation of transformers lets you calculate the RMS values of induced voltages in the primary and secondary windings of a transformer. Rearranging the equation we

P load =. Current flows in one dot and out the other. Solved Problems On Zener Diode. A transformer is used to step a potential difference of 230 V down to 10 V. The secondary coil has 60 turns. Calculate the number of turns of the primary coil. Solution: Vp = 230 V. Vs =10V. Ns=60. Np = ? => Np = (Vp/Vs). Ns = (230/10). 60 = 1380 turns. Transformers are almost 100% efficient. kothari chapter 3 question 3.10 practice problems question is based on the p.u. Ns = (230/10). Basic electronics Solved problems By Sasmita January 9, 2020. If its secondary winding is connected to a load whose resistance and inductive reactance are 4.25 and 3 , determine the secondary voltage and the power consumed by load (neglect no-load current). Calculate the generated e.m.f? Students solve practice problems on voltage, current, and impedance matching. Problem 2.16 The core length of the second transformer is is 2 times that of the rst, its core area of the second transformer is twice that of the rst, and its volume is 2 2 times that of the rst. All the MCQs are solved. Since the voltage applied to the second transformer is twice that of the rst, the ux densitities will be the same.

solved numerical problems on transformers