A RLC circuit with 100 Q resistor R1, 3 mH inductor L1, and 5 µF capacitor C1 are connected in series to an AC voltage source is shown in Figure 4. The steady-state of the voltage source is V1 = 120...

please answer a) to c)

Extracted text: A RLC circuit with 100 Q resistor R1, 3 mH inductor L1, and 5 µF capacitor C1 are connected in series to an AC voltage source is shown in Figure 4. The steady-state of the voltage source is V1 = 120 sin(1000t). By analyzing the circuit, R1 L1 C1 i1 V1 Figure 4: Series RLC circuit. (a) Determine the reactance X, for inductor L1 and reactance X, for capacitor C1. (b) Construct the phasor equivalent circuit. (c) Calculate the total impedance Z, for the circuit. (d) Calculate the steady-state current i, by using phasor method. (e) Calculate the voltage across resistor R1, inductor L1, and capacitor C1. (f) Determine the average power, reactive power, and apparent power. (g) Sketch the power triangle produced. (h) Determine the power factor for the circuit. (i) The circuit power factor is then improved to 0.8, assuming that the apparent power is 60 VA and using the same AC voltage source, V1. Determine the new value of R1.