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https://texercises.com/exercise/ac-motor/
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Exercise:
An ac motor runs on ac voltage with a frequency of fO and an amplitude of VO. Its impedance is ZO. The current lags behind the voltage by dtO. Calculate the current’s amplitude the phase shift and the effective power.

Solution:
The current amplitude is I_ IF fracVZ I approx resultIP- The phase shift can be derived using the relation fracDeltaphipi fracDelta tT Delta t f Solving for the phase shift leads to Deltaphi dphiF pitimes dttimesf dphi approx resultdphiP The effecitve power is P sscVrmssscIrmscosDeltaphi PF fracVtimesItimescosdphi P approx resultPP
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Exercise:
An ac motor runs on ac voltage with a frequency of fO and an amplitude of VO. Its impedance is ZO. The current lags behind the voltage by dtO. Calculate the current’s amplitude the phase shift and the effective power.

Solution:
The current amplitude is I_ IF fracVZ I approx resultIP- The phase shift can be derived using the relation fracDeltaphipi fracDelta tT Delta t f Solving for the phase shift leads to Deltaphi dphiF pitimes dttimesf dphi approx resultdphiP The effecitve power is P sscVrmssscIrmscosDeltaphi PF fracVtimesItimescosdphi P approx resultPP
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Attributes & Decorations
Branches
Circuits
Tags
ac circuit, ac power, effective power, impedance, phase shift
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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