An AC source with AV= 160 V and f = 70.0 Hz is connected between points a and d in the figure.maxbd40.0 2185 mH65.0 µF(a) Calculate the maximum voltages between points a and b.v(b) Calculate the maximum voltages between points b and c.(c) Calculate the maximum voltages between points c and d.(d) Calculate the maximum voltages between points b and d.V

Given data *The given maximum voltage is ∆Vmax=160 V *The given frequency is f = 70.0 Hz *The given resistor is R=40.0 ohm *The given inductor is L = 185 mH = 185 × 10-3 H *The given capacitor is C=65.0 μF=65.0×10-6 F(a) The expression for the capacitive reactance is given as Xc=1ωC=12πfC Substitute the values in the above expression as Xc=12π×70.0 Hz×65.0×10-6 F=34.97 ohm The expression for the inductive reactance is given as Xl=ωL=2πfL Substitute the values in the above expression as Xl=2×3.14×70.0 Hz×185×10-3 H=81.32 ohm The impedance of the circuit is given as Z=R2+Xl-Xc2=40.0 ohm2+81.32 ohm-34.97 ohm2=61.22 ohm The maximum current across the RLC circuit is given as Imax=∆VmaxZ=160 V61.22 ohm=2.61 A The maximum voltage between points a and b is given as Vab=ImaxR=2.61 A×40.0 ohm=104.4 V Thus the maximum voltage between points a and b is Vab = 104.4 V(b) The expression for the maximum voltage between point b and c is given as Vbc=ImaxXl Substitute the values in the above expression as Vbc=2.61 A×81.32 ohm=212.24 V Thus the maximum voltage between points b and c is Vbc = 212.24 V (c) The expression for the maximum voltage between point c and d is given as Vcd=ImaxXc Substitute the values in the above expression as Vcd=2.61 A×34.97 ohm=91.27 V Thus the maximum voltage between points c and d is Vcd = 91.27 V

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An AC source with AV, = 160 V and f = 70.0 Hz is connected between points a and d in the figure. max b ll 185 mH 65.0 µF 40.0 2 (a) Calculate the maximum voltages between points a and b. (b) Calculate the maximum voltages between points b and c. (c) Calculate the maximum voltages between points c and d.

An AC source with AV, = 160 V and f = 70.0 Hz is connected between points a and d in the figure. max b ll 185 mH 65.0 µF 40.0 2 (a) Calculate the maximum voltages between points a and b. (b) Calculate the maximum voltages between points b and c. (c) Calculate the maximum voltages between points c and d.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter21: Alternating-Current Circuits And Electromagnetic Waves

Section: Chapter Questions

Problem 1P: (a) What is the resistance of a light bulb that uses an average power of 75.0 W when connected to a...

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Question

An AC source with AV
= 160 V and f = 70.0 Hz is connected between points a and d in the figure.
max
b
d
40.0 2
185 mH
65.0 µF
(a) Calculate the maximum voltages between points a and b.
v
(b) Calculate the maximum voltages between points b and c.
(c) Calculate the maximum voltages between points c and d.
(d) Calculate the maximum voltages between points b and d.
V

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