A current flows in a series circuit containing a resistor, R, an inductor, L and a capacitor, C. Which of the following is true of the power dissipated in the circuit component(s)?
The power dissipated in L is greater than zero
The power dissipated in R is zero
The sum of the power dissipated in L and C is equal to that in R
The sum of the power dissipated in L and C is greater than in R
The sum of the power dissipated in L and C is zero
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In a series RLC circuit (ideal components) under AC steady state:
The resistor (R) dissipates real power:
PR=I2R (>0)P_R = I^2R \; (>0)PR=I2R(>0)
The inductor (L) and capacitor (C) do not dissipate average power. They temporarily store energy in magnetic and electric fields and return it to the circuit.
So:
PL=0P_L = 0PL=0
PC=0P_C = 0PC=0
Therefore:
PL+PC=0P_L + P_C = 0PL+PC=0
Correct answer: E
The sum of the power dissipated in L and C is zero 
