Final answer:
The calculation of average power loss in an RLC circuit requires the rms voltage, resistance, power factor, inductive reactance, capacitive reactance, and phase angle. Without the frequency of the source, the inductive reactance, capacitive reactance, power factor, and phase angle can't be determined, making it impossible to calculate the average power loss.
Step-by-step explanation:
The average power loss in an RLC series circuit can be determined using the rms voltage, the resistance of the resistor, and the power factor which is the cosine of the phase angle θ. The phase angle in an RLC circuit is found by taking the arctangent of the difference between the inductive reactance (ΩL) and the capacitive reactance (ΩC) divided by the resistance (R), or θ = arctan(ΩL - ΩC)/R.
First, we calculate the inductive reactance (ΩL = 2πfL) and the capacitive reactance (ΩC = 1/(2πfC)). Then we find the phase angle θ, which allows us to determine the power factor (cos(θ)). Finally, the average power (Pavg) is calculated using Pavg = Vrms^2 * cos(θ)^2 / R.
In this case, the phase angle and power factor are not given, and additional information such as the frequency of the voltage source is required to calculate them, which is not provided in the question. Since this information is crucial to determining the average power loss, this answer cannot be completed without it.