An RLC circuit with R = 28.7 ohms, = 348 mH, and = 41.4 microfarads is connected

Question

An RLC circuit with R = 28.7 ohms, = 348 mH, and = 41.4 microfarads is connected to an ac generator with an rms voltage of 27 V.

Part A: Determine the average power delivered to this circuit when the frequency of the generator is equal to the resonance frequency.

Part B: Determine the average power delivered to this circuit when the frequency of the generator is twice the resonance frequency.

Part C:

Determine the average power delivered to this circuit when the frequency of the generator is half the resonance frequency.

Explanation / Answer

o2 = 1/LC = 69409.74

=>o = 263.46 Hz = Resonance frequency

A) Z = R = 28.7Ohms

Avg. power = V2/R = 272/28.7 = 25.401 Watts

b) = o*2 = 526.92

Z = Sqrt(R2 + ((L)-(1/C))2) = 140.49 Ohms

Avg. power = V2/R = 272/140.49 = 5.19 Watts

c) = o/2 = 131.73

Z = Sqrt(R2 + ((L)-(1/C))2) = 140.49 Ohms

Avg. power = V2/R = 272/140.49 = 5.19 Watts

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