CORRECT ANSWER IS 229.64 PLEASE SHOW ME HOW TO GET THIS ANSWER A 14 Ohm resistor
ID: 1491165 • Letter: C
Question
CORRECT ANSWER IS 229.64
PLEASE SHOW ME HOW TO GET THIS ANSWER
A 14 Ohm resistor, a capacitor, and a inductor are connected in series to an AC voltage source with a maximum voltage of 81 volts to form a RLC circuit. At some frequency the inductive reactance is 2 Ohms less than the capacitive reactance. What is the average power for this circuit at the frequency in Watts?
A 14 Ohm resistor, a capacitor, and a inductor are connected in series to an AC voltage source with a maximum voltage of 81 volts to form a RLC circuit. At some frequency the inductive reactance is 2 Ohms less than the capacitive reactance. What is the average power for this circuit at the frequency in Watts?
Correct Answer:229.64 ± 10%
Explanation / Answer
Vrms = Vmax/ sqrt(2) = 81/sqrt(2) =57.3 V
Impedance Z= sqrt ( 14^2 + (-2)^2) =14.142 ohms
power = Vrms^2 / Z = 57.3^2 /14.142 =232 power factor = cos (taninverse(-2/14) =0.98995
therefore power = 232*0.98995 =229.67W