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Answer the following:
a. A capacitor is rated 100 kVAR, 380 V, 50 Hz. Find its rating at 60 Hz, 220 V.
b. The resistance of a coil is measured to be 20 Ω. A 230 V, 60 Hz is impressed on the coil and the current taken is 3.2 A. Find the inductance of the coil.
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- Assume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the inductor, EL, is 104 V, and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. ETITZ20VAPFER78VIRRPEL104VILXLVARsLLA 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.A 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]
- Two 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 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 supplyA 30 μF capacitor is connected in parallel with a coil of inductance 50 mH andunknown resistance R across a 120 V, 50 Hz supply. If the circuit has an overallpower factor of unity, find (a) the value of R, (b) the current in the coil, and (c)the supply current.
- Two 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 PleaseCOURSE: 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.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.
- 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 coil has a resistance of 4 and an inductance of 9.55 mH. Calculate (a) the reactance, (b) the impedance, and (c) the current taken from a 240V, 50 Hz supply. Determine also the phase angle between the supply voltage and currentShow detailed solution. 21. The combined inductance of two coils connected in series is 0.6 H or 0.1 H depending on the relative directions of the currents in the coils. If one of the coils when isolated has a self inductance of 0.2 H, find the (a) mutual inductance (b) coefficient of coupling Answers: a. 0.125 H b. 0.72