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A motor maybe modeled as a series RL circuit. A particular motor operates from an ordinary 60 Hz wall outlet?
wieh E sub rms = 115V. The motor draws a current of I sub rms = 2.00 A. If the effective resistance is R= 16ohms, what is inductive reactance of the circuit? Express in terms of ohms. What is the value of the inductance? Express in terms of H.
Total impedance is 115/2 = 57.5 ohms.
to get inductive reactance, which is at 90 degrees to the resistance, we need to use the square root of the sum of the squares.
57.5² = 16² + XL²
XL = √(57.5² - 16²) = √(3306-256) = 59.7 ohms
XL = 2πfL
L = 59.7/2π60 = 0.158 H
