b) Two coils connected in series-aiding fashion have a total inductance of 500mH. connected in a series-opposing configuration, the coils have a total inductance of 300 the inductance of one coil (L₁) is three times the other, find L₁, L₂ and M. What coupling coefficient?
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- Assume that the current flow through the resistor, IR, is 15 A; the current flow through the inductor, IL is 36 A; and the circuit has an apparent power of 10,803 VA. The frequency of the AC voltage is 60 Hz. ET ER EL IT IR15A IL36A Z R XL VA10,803 P VARSL PF LAssume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the capacitor, EC, is 104 V; and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. Find the missing values. ET ER78V EC104V IT IR IC Z20 R XC VA P VARSC PF CTwo coils of inductance ?1 = 1.16 mH, ?2 = 2 mH are connected in series. Find the total energy stored when the steady current is 2 Amp?
- A coil having a resistance of 45 and an inductance of 0.4 H is connected in parallel with a capacitor having a capacitance of 20 μF across a 230-V, 50-Hz system. Calculate (a) the current taken from the supply (b) the power factor of the combination.Short Problem: Given a parallel RLC circuit comprised of the following element: 57.81-ohm resistor, ideal inductor with reactance of 65.75 ohms; and a capacitor with reactance of 6.59 ohms. Compute for true power in watts given an ac voltage source of 100 cis 0 volts.A coil of inductance 159.2 mH and resistance 40 ohms is connected in parallel with a 30 µF capacitor across a 240 V, 50 Hz supply.Calculate(a) Current in the coil and its phase angle (b) Current in the capacitor and its phase angle, (c) Supply current and its phase angle, (d) Circuit impedance,
- A resistor'R' with resistance value of 24 ohm, an inductor 'L' with inductance 20mH, and a capacitor 'C' with capacitance 50 micro Farrad are connected in series with a AC voltage v(t) where v(t) = 50 cos (2 vt + 30 degrees) v. Determine the current i(t) and total impedance if the frequency f is i. 60 Hz ii. 400HzA coil of 0.5 H inductance and 8 ohms resistance is connected in series with a capacitor across a 200 V, 50 Hz supply. If the current is in phase with the supply voltage, determine the capacitance of th the capacitor and the p.d. across its terminals. Answer: [20.26 µF, 3.928 k]A coil has an inductance of 40 mH and negligible resistance. Calculate its inductive reactance and the resulting current if connected to (a) a 240V, 50 Hz supply, and (b) a 100V, 1 kHz supply
- 18. Two coils of inductances 4 H and 6 H are connected in parallel. If their mutual inductance is 3 H. Calculate the equivalent inductance of the combination if mutual inductance assists and if mutual inductance opposes the self-inductance respectively.Given a parallel RLC circuit comprised of the following element: 58.48-ohm resistor, ideal inductor with reactance of 74.07 ohms; and a capacitor with reactance of 19.78 ohms. Compute for true power in watts given an ac voltage source of 100 cis 0 volts. Compute to the nearest 4 decimal places. No Scientific notation. Do not round off in the middle of calculation. Use stored values.COURSE: Electrical EngineeringSUBJECT: Electrical ApparatusINSTRUCTIONS:• Write the GIVEN with their respective symbols and units.• Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units• Round up to 3 three decimal places the FINAL ANSWERS and BOX it. PROBLEM:A capacitor in series with a 66 Ω resistor is connected to a 120 V, 60 Hz source. If the impedance of the circuit is 116 Ω, determine the size of the capacitor.