Question

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 84.0 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

Answer 1

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