In the figure, R = 27.0 ?, C = 5.60 ?F, and L = 60.0 mH. The generator provides

ID: 2153231 • Letter: I

Question

In the figure, R = 27.0 ?, C = 5.60 ?F, and L = 60.0 mH. The generator provides a sinusoidal voltage of 150 V (rms) and frequency f = 470 Hz .

a) Calculate the rms current.

b) Find the rms voltage, Vab.

c) Find the rms voltage, Vbc.

d) Find the rms voltage, Vcd.

e) Find the rms voltage, Vbd.

f) Find the rms voltage, Vad.

g) At what average rate is energy dissipated by the capacitor?

h) At what average rate is energy dissipated by the inductor?

i) At what average rate is energy dissipated by the resistor?

R=27 ==>C=5.6 F==>L=60 mH==>f=470 Hz==>V=150 volts

XL=2**f*L=177.2 ==>XC=1/(2**470*5.6E-6)60.47

(272+(XL-XC)2)119.8 =Z==>150 Volts/119.8 1.2521 A

a) 1.25 A

b) 1.25 A*27 =33.81 Volts

c) 1.25 A*60.47 =75.7 Volts

d) 1.25 A*177.2 =221.9 Volts

e) 75.7+221.9=297.6 Volts

f) 33.81+75.7+221.9=331.41 Volts

g) zero

h) zero

i) i2*R=1.252*27+42.2 W thermal energy (heat)

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