s voltage amplitude V 150 V and a frequency equal to the resona nce frequency of

Question

s voltage amplitude V 150 V and a frequency equal to the resona nce frequency of the circuit In an L-R-C series circuit, R = 160 ?, L 0.800 H, and C = 0.0120 ?F, The source has voltage amplitude V = 150 V and a frequency equal to the resona (a) What is the power factor? (b) Wha at is the average power delivered by the source ? (c) The capacitor is replaced by one with C-0.0240 ?F and the source frequency is adjusted to the new resonance value. Then what is the average power delivered by the source?

Explanation / Answer

a) cos phi = R / R

cos phi = 1

power factor = 1

b) power = 1/2 * vmax2 / R

= 1502 / (2 * 160)

average power delivered = 70.31 W

c)XL = XC

Z = R

Imax = Vmax / R

Pavg = 1/2 * vmax2 / R = 1502 / (2 * 160)

= 70.31 W

average power delivered is same

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