Engineering students are learning to use phasor diagrams to analyze RLC series circuits. They are given the following phasor diagram, and they are told that the AC power source has a frequency of 60.0 Hz and the resistor has a resistance of 43.0 n. AV = 25.0 V max AVR= 20.0 V AVc= 15.0 V The students are then asked to determine the following. (a) the maximum voltage AVa (in V) across the series RLC combination max 22.36 (b) the phase angle o (in degrees) 26.57 (c) the maximum current (in A) in the circuit A (d) the total impedance (in 0) of the circuit 48.10 (e) the capacitance (in µF) |x 1.4 Express the capacitive reactance in terms of the voltage across the capacitor and the maximum current and then in terms of the capacitance and frequency. How can we determine the capacitance from these two expressions? Don't forget to convert F to pF. µF (f) the inductance (in H) 144 H (g) the average power (in W) delivered to the circuit 5.8 Review the definition of average power and note that it is expressed in terms of rms values. How are the maximum values determined in previous steps related to the rms values needed to determine the average power? W
Engineering students are learning to use phasor diagrams to analyze RLC series circuits. They are given the following phasor diagram, and they are told that the AC power source has a frequency of 60.0 Hz and the resistor has a resistance of 43.0 n. AV = 25.0 V max AVR= 20.0 V AVc= 15.0 V The students are then asked to determine the following. (a) the maximum voltage AVa (in V) across the series RLC combination max 22.36 (b) the phase angle o (in degrees) 26.57 (c) the maximum current (in A) in the circuit A (d) the total impedance (in 0) of the circuit 48.10 (e) the capacitance (in µF) |x 1.4 Express the capacitive reactance in terms of the voltage across the capacitor and the maximum current and then in terms of the capacitance and frequency. How can we determine the capacitance from these two expressions? Don't forget to convert F to pF. µF (f) the inductance (in H) 144 H (g) the average power (in W) delivered to the circuit 5.8 Review the definition of average power and note that it is expressed in terms of rms values. How are the maximum values determined in previous steps related to the rms values needed to determine the average power? W
Chapter15: Alternating-current Circuits
Section: Chapter Questions
Problem 15.6CYU: Check Your Understanding In the circuit of Figure 15.11, L=2.0103H,C=5.0104F , and R=40 (a) What is...
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