The value of the resistance of the series RLC circuit attached to a 120 V/60 Hz power line is 35.57 ohms.
The power factor of RLC series circuit is determined from the ratio of resistance to the total impedance of the circuit.
Pf = R/Z
0.83 = R/Z
where;
Z = V/I
0.83 = R/(V / I)
0.83 = (RI) / (V)
RI = 0.83V
R = 0.83V/I
R = (0.83 x 120) / (2.8)
R = 35.57 ohms
Thus, the value of the resistance of the series RLC circuit attached to a 120 V/60 Hz power line is 35.57 ohms.
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