A series RLC circuit has an inductive reactance of 550 Ohms, a capacitive reacta

Question

A series RLC circuit has an inductive reactance of 550 Ohms, a capacitive reactance of 275 Ohms and a resistance of 170 Ohms. What is the impedance of the circuit? a. 995 Ohms b. 560 Ohms c. 550 Ohms d. 215 Ohms e. 170 Ohms An AC power source supplies an rms voltage of 120 (V) at 60 (Hz) and is attached to a capacitor of value 0.47 micro-farads. What is the value of the capacitive reactance? a. 258 Ohms b. 2580 Ohms c. 5640 Ohms d.17280 Ohms In the above question, what is the rms current in the circuit? a. 1.2 (A) b. 0.7 (A) c. 0.15 (A) d. 0.021 (A)

Explanation / Answer

here,

12)

V = 120 V

frequency , f = 60 Hz

capacitance , C = 0.47 uC = 0.47 * 10^-6 F

the capacitive reactance , Xc = 1/ ( 2 * pi * f * C)

Xc = 1/( 2 * pi * 60 * 0.47 * 10^-6)

Xc = 5640 ohm

the capacitive reactance is c) 5640 ohm

13)

the rms current , I = V/Xc

I = 120 /5640 = 0.021 A

the correct option is d) 0.021 A

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