A series RLC circuit is driven by an alternating source at a frequency of 390 Hz

Question

A series RLC circuit is driven by an alternating source at a frequency of 390 Hz and an emf amplitude of 90.0 V. The resistance is 22.0 , the capacitance is 12.1 µF, and the inductance is 24.2 mH.
(a) What is the rms potential difference across the resistor?
1Your answer was incorrect, but has changed from what was graded. V

(b) What is it across the capacitor?
2Your answer was incorrect, but has changed from what was graded. V

(c) What is it across the inductor?
3 V

(d) What is the average rate at which energy is dissipated in the circuit?
4 W

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o Section 31.12 Additional Problems

Explanation / Answer

390 Hz.==>90 V==>R=22 ==>XL=2**390*0.024259.3

XC=1/(2**390*12.1E-6)33.73 ==>Z=22+j(59.3-33.73)

(33.73 angle 49.3 degrees)==>90/263.64 V==>

63.64/(33.73 angle 49.3 degrees)(1.89 angle -49.3 degrees)

a) (90 V/2)/(33.73 angle 49.3 degrees)*22 (41.51 angle-49.3 degrees)Vrms

b) 33.73 *1.8963.74 V

c) 1.89*59.3112.1 V

d) 1.892*2278.6 W

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