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 0. AV = 25.0 V AV. max AVR= 20.0 V AVc= 15.0 V The students are then asked to determine the following. (a) the maximum voltage AV (in V) across the series RLC combination max 22.36 V (b) the phase angle o (in degrees) 26.57 (c) the maximum current (in A) in the circuit 0.465 A (d) the total impedance (in n) of the circuit 48.10 (e) the capacitance (in µF) 90 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

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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 0.
AV = 25.0 V
AV.
max
AVR= 20.0 V
AVc= 15.0 V
The students are then asked to determine the following.
(a) the maximum voltage AV
(in V) across the series RLC combination
max
22.36
V
(b) the phase angle o (in degrees)
26.57
(c) the maximum current (in A) in the circuit
0.465
A
(d) the total impedance (in n) of the circuit
48.10
(e) the capacitance (in pF)
90
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
(g) the average power (in W) delivered to the circuit
4.65
Transcribed Image Text: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 0. AV = 25.0 V AV. max AVR= 20.0 V AVc= 15.0 V The students are then asked to determine the following. (a) the maximum voltage AV (in V) across the series RLC combination max 22.36 V (b) the phase angle o (in degrees) 26.57 (c) the maximum current (in A) in the circuit 0.465 A (d) the total impedance (in n) of the circuit 48.10 (e) the capacitance (in pF) 90 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 (g) the average power (in W) delivered to the circuit 4.65
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