II Review I Constants Consider the power dissipated in a series R-L-C circuit with R= 3702, L = 120mH, C = 0.300µF, V = 50V, and w = 12500rad/s. The current and the voltages in this circuit are not in phase with each other. Using the values given, the phase angle o was found to be 73 °, and the current amplitude I was found to be 3.9x10-2 A. Calculate the power factor and the average power to the entire circuit and to each circuit element. SOLUTION SET UP AND SOLVE The power factor is cos o = cos 73° = 0.29. The average power to the circuit is P=}VI cos o =(50V)(3.9 × 10-²A)(0.29) = 0.28 W REFLECT AIl of this power is dissipated in the resistor; the average power to a pure inductor or pure capacitor is always zero. Part A - Practice Problem: If the inductance L in this circuit could be changed, what value of L would give a power factor of unity? Express your answer with the appropriate units. ? Value Units Submit Request Answer

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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Review I Constants
Consider the power dissipated in a series R-L-C circuit with
R= 370N, L = 120mH, C = 0.300µF, V = 50V, and
w = 12500rad/s. The current and the voltages in this circuit are
not in phase with each other. Using the values given, the phase
angle o was found to be 73° , and the current amplitude I was
found to be 3.9x10-2 A . Calculate the power factor and the
average power to the entire circuit and to each circuit element.
%3D
SOLUTION
SET UP AND SOLVE The power factor is cos o = cos 73° = 0.29. The average power to the circuit is
P=¿VI cos o =:(50V)(3.9 × 10-2A)(0.29) = 0.28 W
REFLECT All of this power is dissipated in the resistor; the average power to a pure inductor or pure capacitor is always zero.
Part A - Practice Problem:
If the inductance L in this circuit could be changed, what value of L would give a power factor of unity?
Express your answer with the appropriate units.
HA
?
Value
Units
Submit
Request Answer
Transcribed Image Text:Review I Constants Consider the power dissipated in a series R-L-C circuit with R= 370N, L = 120mH, C = 0.300µF, V = 50V, and w = 12500rad/s. The current and the voltages in this circuit are not in phase with each other. Using the values given, the phase angle o was found to be 73° , and the current amplitude I was found to be 3.9x10-2 A . Calculate the power factor and the average power to the entire circuit and to each circuit element. %3D SOLUTION SET UP AND SOLVE The power factor is cos o = cos 73° = 0.29. The average power to the circuit is P=¿VI cos o =:(50V)(3.9 × 10-2A)(0.29) = 0.28 W REFLECT All of this power is dissipated in the resistor; the average power to a pure inductor or pure capacitor is always zero. Part A - Practice Problem: If the inductance L in this circuit could be changed, what value of L would give a power factor of unity? Express your answer with the appropriate units. HA ? Value Units Submit Request Answer
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