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Physics 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 60.0 Ω.
Four vectors and a directional arrow are positioned on a
coordinate plane. All vectors begin at the origin. In
counterclockwise order, starting from the bottom: a vector
labeled ΔVC = 15.0
V points down along the vertical axis; a second vector
labeled ΔVR = 20.0
V points to the right along the horizontal axis; a third
vector labeled ΔVmax points up and to
the right forming an angle of 𝜑 with the horizontal axis;
and a fourth vector
labeled ΔVL = 25.0
V points up along the vertical axis. A dashed line indicates
that the horizontal component
of ΔVmax equals the value
of ΔVR. A curved arrow pointing
counterclockwise is labeled 𝜔.
The students are then asked to determine the following.
(a)
the maximum voltage ΔVmax (in V)
across the series RLC combination
V
(b)
the phase angle 𝜑 (in degrees)
°
(c)
the maximum current (in A) in the circuit
A
(d)
the total impedance (in Ω) of the circuit
Ω
(e)
the capacitance (in µF)
µF
(f)
the inductance (in H)
H
(g)
the average power (in W) delivered to the circuit
W
9. [-17 Points] DETAILS SERPSE10 32.A.OP.024. MY NOTES ASK YOUR TEACHER Physics 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 60.0 0. AV. = 25.0 V AVmax 1 AVR=20.0 V AVC= 15.0 V The students are then asked to determine the following. (a) the maximum voltage Avmax (in V) across the series RLC combination (b) the phase angle w (in degrees) (c) the maximum current (in A) in the circuit (d) the total impedance (in () of the circuit 0 (c) the capacitance (in PF) (1) the inductance in H)