An AC voltage of the form ?v = 80 sin 345t where ?v is in volts and t is in seco

Question

An AC voltage of the form ?v = 80 sin 345t where ?v is in volts and t is in seconds, is applied to a series RLC circuit. If R = 46.0 O, C = 29.0 µF, and L = 0.260 H, find the following.
(a) the impedance of the circuit



Your response differs from the correct answer by more than 10%. Double check your calculations. O

(b) the rms current in the circuit



Your response differs from the correct answer by more than 10%. Double check your calculations. A

(c) the average power delivered to the circuit



Your response differs from the correct answer by more than 10%. Double check your calculations. W

Explanation / Answer

2**f or =345 rad/s==>XL=345*0.26=89.7 ==>XC=1/(345*29 F)99.95

Z=(462+(89.7-99.95)2)47.13 ==>80/256.57 voltsrms==>avg power

56.57 V/47.13 Irms=1.2 amps==>I2*R=1.22*4666.24 watts

a) Z=47.13

b) 1.2 amps

c) 66.24 W

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