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Exercise:
Using the diagram answer the following questions: center includegraphicswidth.cm#image_path:ac-voltagcurrent# center abcliste abc Read the amplitude and the period of the voltage signal red line and of the current signal blue line from the diagram. Calculate the circuit's impedance. abc Read the time shift from the diagram and calculate the phase shift between current and voltage. What could the circuit look like? abc Calculate the apparent power and the effective power. abcliste

Solution:
abcliste abc The voltage and current amplitudes are V_ resultVO I_ resultIO The period is T resultTO The impedance can be calculated as Z ZF fracVI Z approx resultZP abc The time shift between current and voltage is Delta t resultdtO The phase shift fulfills the condition fracDeltaphipi fracDelta tT Solving for the phase shift leads to Deltaphi dphiF pifracdtT dphi approx resultdphiPresultdphidegP The current lags behind the voltage so the circuit could consist of a resistor and a coil in series. abc The apparent power is given by S sscVrmssscIrms SF fracVtimesI S approx resultSP P sscVrmssscIrmscosDeltaphi PF fracVtimesItimescosdphi P approx resultPP abcliste
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Exercise:
Using the diagram answer the following questions: center includegraphicswidth.cm#image_path:ac-voltagcurrent# center abcliste abc Read the amplitude and the period of the voltage signal red line and of the current signal blue line from the diagram. Calculate the circuit's impedance. abc Read the time shift from the diagram and calculate the phase shift between current and voltage. What could the circuit look like? abc Calculate the apparent power and the effective power. abcliste

Solution:
abcliste abc The voltage and current amplitudes are V_ resultVO I_ resultIO The period is T resultTO The impedance can be calculated as Z ZF fracVI Z approx resultZP abc The time shift between current and voltage is Delta t resultdtO The phase shift fulfills the condition fracDeltaphipi fracDelta tT Solving for the phase shift leads to Deltaphi dphiF pifracdtT dphi approx resultdphiPresultdphidegP The current lags behind the voltage so the circuit could consist of a resistor and a coil in series. abc The apparent power is given by S sscVrmssscIrms SF fracVtimesI S approx resultSP P sscVrmssscIrmscosDeltaphi PF fracVtimesItimescosdphi P approx resultPP abcliste
Contained in these collections:
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Attributes & Decorations
Branches
Circuits
Tags
ac circuit, period, phase shift
Content image
Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration