Question 16 of 16intermediate🔧 ApplyNumerical3 marks
Suppose the frequency of the source in the previous example can be varied. (a) What is the frequency of the source at which resonance occurs? (b) Calculate the impedance, the current, and the power dissipated at the resonant condition.
(a)
Answer
The resonant frequency is 35.4 Hz.
(b)
Answer
At resonance: Impedance = 3 Ω, Current = 66.7 A, Power dissipated = 13.35 kW.
Explanation
This numerical problem is a continuation of Example 7.8, where a series LCR circuit has R = 3 Ω, L = 25.48 mH, C = 796 μF, and peak voltage = 283 V. At resonance, the inductive and capacitive reactances cancel each other, making impedance minimum and equal to resistance only.