Resistance
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- Consider 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.Consider 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.An ideal transformer with N1=1000andN2=250 is connected with an impedance Z22 across winding 2. If V1=10000VandI1=530 A, determine V2,I2,Z2, and the impedance Z2, which is the value of Z2 referred to the primary side of the transformer.
- For the transformer in Problem 3.10. The open-circuit test with 11.5 kV applied results in a power input of 65 kW and a current of 30 A. Compute the values for GcandBm in siemens referred to the high-voltage winding. Compute the efficiency of the transformer for a load of 10 MW at 0.8 p.f. lagging at rated voltage.The transformer of Problem 3.16 is supplying a rated load of 50 kVA at a rated secondary voltage of 240 V and at 0.8 posr factor lagging. Neglect the transformer exciting current. (a) Determine the input terminal voltage of the transformer on the high-voltage side. (b) Sketch the corresponding phasor diagram. (c) If the transformer is used as a step-down transformer at the load end of a feeder whose impedance is 0.5+j2.0, find the voltage VS and the power factor at the sending end of the feeder.A two-winding single-phase transformer rated 60kVA,240/1200V,60Hz, has an efficiency of 0.96 when operated at rated load, 0.8 power factor lagging. This transformer is to be utilized as a 1440/1200-V step-down autotransformer in a power distribution system. (a) Find the permissible kVA rating of the autotransformer if the winding currents and voltages are not to exceed the ratings as a two-winding transformer. Assume an ideal transformer. (b) Determine the efficiency of the autotransformer with the kVA loading of part (a) and 0.8 power factor leading.
- A 23/230-kV step-up transformer feeds a three-phase transmission line, which in turn supplies a 150-MVA,0.8 lagging power factor load through a step-down 230/23-kV transformer. The impedance of the line and transformers at 230kVis18+j60. Determine the tap setting for each transformer to maintain the voltage at the load at 23 kV.A transformer with a 10:1 ratio and rated at 60kVA, 2200/220V, 60Hz is used to step down the voltage of a distribution system. The low tension voltage is to kept constant at 220V. (a) What load Impedance connected to the low-tension side will be loading the transformer fully at 0.8 power factor (lag) ? (b) What is the value of this impedance referred to the high tension side?As given in the figure, an ideal transformer with a 2: 1 winding ratio is fed from a 240 Volt source with an internal impedance of 8 + j6 Ω and transfers maximum power to the load impedance connected at its secondary. So, which of the following is the V2 voltage in the secondary?
- A Step-Down Transformer. A transformer connected to a 120 V (rms) ac line is to supply 12.0 V (rms) to a portable electronic device. The load resistance in the secondary is 5.00 Ω. (a) What should the ratio of primary to secondary turns of the transformer be? (b) What rms current must the secondary supply? (c) What average power is delivered to the load? (d) What resistance connected directly across the 120 V line would draw the same power as the transformer? Show that this is equal to 5.00 Ω times the square of the ratio of primary to secondary turns.Construct the circuit in Figure 1 in the Circuit JS simulator. Note that the voltage source is given in RMS. Within Circuit JS while defining the max voltage of the voltage source include “rms” after the number to tell Circuit JS that this is a rms value. Also note that there are additional parameters when instantiating a transformer in Circuit JS. Leave these at the default values. Additionally, transformers may have problems simulating in Circuit JS. Answer the following: 1. From the simulation results, determine the power dissipated in R2 and compare to the expected value from the previous section.2. Change the transformer ratio (“Ratio” as a fraction when you “Edit…” the transformer component) to the value calculated in the previous section to provide maximum power transfer in R2. Note: In Circuit JS, Transformer Ratio = Primary/Secondary.3. Rerun the simulation, calculate the power dissipated in R2 and compare to the expected value from the previous section.4. Change the…What is the maximum value of vs(i.e.vsm ) Find the peak-to-peak ripple voltage vr Find the average output voltage Vo in steady state Find the average diode current ID in steady state. If the secondary winding resistance of the transformer is 1.5 Ω, calculate the maximum surge current in the worst-case scenario