FN.Q2 - A coil of inductance 245 mH and negligible resistance is connected in series with a 56 2 resistor to a 220 V, 50 Hz supply (JI = 3,14). Calculate (a) the inductive reactance of the coil, i (1) R (b) the impedance of the circuit, (c) the current in the circuit, (d) the voltages across resistance, (t) v (t) (e) the circuit phase angle.
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- The mutual inductance and self-inductances of the coils shown are M=40 mH, L1=25 mH, and L2=100 mH. 1. Calculate the coupling coefficient. 2. Calculate the energy stored in the coupled coils when i1=10 A and i2=15 A 3. If the coupling coefficient is increased to 1 and i1=10 A, what value of i2 results in zero stored energy?TOPIC: Transmission Lines, Power Systems, and Powerplants:INSTRUCTIONS:- Answer in this format: Given, Illustration, Required Conversion, Solution, Final Answer.- Step-by-step solution, do not skip even simple calculations to avoid confusion.- If answered in written form, make sure it is readable.PROBLEM:A three-phase, three-wire, 500-V, 60-Hz source supplies a three-phase induction motor, a wye-connected capacitor bank that draws 2 KVAr per phase, and a balanced three-phase heater that draws a total of 10 kW. The induction motor is operating at its rated 75 Hp and has an efficiency and power factor of 90.5 and 89.5 percent, respectively. Determine the system KVA. 78.12 75.98 24.81 83.17Two coupled coils have inductance of L1 = 0.8 H and L2 = 0.2 H, respectively. If the coefficient of coupling is 0.75, find the turns ratio N1/N2 for the coils. Show Solution Please
- The feeder is to be used with an antenna for which an inductive reactance is measured as j60 Ohms at 1.7 MHz. The resistive part of the antenna’s impedance is measured as 80 Ohms. Using the online impedance matching calculator, design a suitable impedance-matching network for each of the two cables if the coaxial cable has a characteristic impedance of 75 Ohms and the twin lead cable has a characteristic impedance of 300 Ohms, so that the inductance is in the longitudinal branch, while the capacitor is in the transversal branch of the impedance matching network. Do not round the resulting values.Given the following characteristic equation: 1+K/S(S2+2S2+8S+5)=0 (a) Using Routh method determine the range of K for which this closed loop system is stable. (b) Find the value of K for which the system has purely imaginary roots and determine the corresponding frequency of oscillations.Consider a PV module with the following external parameters at STC: Pmax = 320 W, VOC = 45 V, ISC = 8 A, NOCT =40 °C and the temperature coefficient of power is −1 W/°C. a) If the ambient temperature rises to 35 °C while the irradiance is 1,000 W/m2, what is the cell leveltemperature, calculated with the NOCT model?b) What is the new power output of the PV module under the new ambient temperature of 35 °C and 1,000W/m2irradiance?
- An air-cored choking coil is subjected to an alternating voltage of 100 V. The current taken is 0.1 A and the power factor 0.2 when the frequency is 50 Hz. Find the capacitance which, if placed in parallel with the coil, will cause the main current to be a minimum. What will be the impedance of this parallel combination (a) for currents of frequency 50 (b) for currents of frequency 40?The resistance and inductance of a coil can be obtained by connecting the coil in series with a known resistance R and measuring the coil voltage Vcoil, the resistor voltage VR and the total voltage V. The frequency must also be known, but the phase angles of the voltages are not known. Given that f = 60Hz , R = 10 ohm Vcoil = 22.4 V. VR = 20 V and v = 36v , find the resistance and inductance of the coil.The transformer in the circuit shown in Fig. 1(a) is an ideal transformer with a=1/3. The circuit is supplied from a sinusoidal ac source with a frequency 60 Hz. Determine the angular speed ω. Determine the source voltage RMS value. Express the supply voltage as a function of time. Calculate the load resistance value (9 Ω) referred to the transformer low voltage side. Calculate the circuit equivalent resistance as seen by the source. Calculate the current drawn from the supply. Calculate the load voltage Vo. Calculate the power dissipated in the 3 Ω resistor. Draw, to scale, the phasor diagram including: supply voltage, supply current, load voltage and load current.
- Consider the load convention that is used for the RLC elements shown in Figure 2.2 of the text. A. If one says that an inductor absorbs zero real power and positive reactive power. is it (a) True (b) False B. If one says that a capacitor absorbs zero real power and negative reactive power (or delivers positive reactive power), is it (a) False (b) True C. If one says that a (positive-valued) resistor absorbs (positive) real power and zero reactive power, is it (a) True (b) FalseA coil of inductance 318.3 mH and neg[1]ligible resistance is connected in series with a 200 resistor to a 240V, 50 Hz supply. Calculate (a) the inductive reactance of the coil, (b) the impedance of the circuit, (c) the current in the circuit, (d) the p.d. across each component, and (e) the circuit phase angleA resistor of 50 ohms, a 200mH inductor, and a 1.5 x 10-4 F capacitor is connected in parallel to a 120-volt, 60 cps source. Calculate: a) the equivalent impedance b) the current in each load c) total current d) the total real, reactive, and apparent powers e) power factor.