Lab-in-a-Box

Experiment 22: Introduction to Phasors

Name: ______

ID: ______

Date: ______

Procedure

Analysis:

The angular frequency (w) of the circuit in Figure 2 is

The impedance of the element if the element is a:

a.  1 kΩ resistor is ______.

b.  10 mH inductor is ______.

The value of the shunt resistor used with the 10 mH is: ______.

The value of the impedance of the series combination of the 10 mH inductor with the shunt resistor is: ______.

The percent difference in the magnitude and phase angle of the impedance of the inductor alone from magnitude and phase angle of the impedance of the inductor in series with the shunt resistor is ______.

The impedance of the element if the element is 1 nF capacitor is______.

The value of the shunt resistor used with the 1 nF is: ______.

The value of the impedance of the series combination of the 1 nF capacitor with the shunt resistor is: ______.

The percent difference in the magnitude and phase angle of the impedance of the capacitor alone from magnitude and phase angle of the impedance of the capacitor in series with the shunt resistor is ______.

The current phasor for the current through each element is ______for the inductor in series with the shunt resistor.

The current phasor for the current through each element is ______for the capacitor in series with the shunt resistor.

Measurements:

a. Element is a 1 kW resistor

1. 

The measured current phasor is ______and the current through the resistor is {lagging or leading} the applied voltage.

The percent difference of the experimental results from the calculated result are ______for the amplitude and ______for the phase.

b. Element is a 10 mH inductor

The internal resistance of the 10 mH inductor is ______.

The internal resistance of the 10 mH inductor causes the equivalent impedance of the circuit to change to ______.

The calculated current phasor for the circuit, which takes into account the impedance of the inductor is ______.

2. 

The measured current phasor is ______and the current through the inductor is {lagging or leading} the applied voltage.

The percent difference of the experimental results from the revised calculated result are ______for the amplitude and ______for the phase.

c. Element is a 1 nF capacitor

The measured current phasor is ______and the current through the capacitor is {lagging or leading} the applied voltage.

The percent difference of the experimental results from the calculated result are ______for the amplitude and ______for the phase.

Conclusions:

Provide an explanation for the percent differences in the three measured results. Identify the component that is farthest from ideal and propose why this may be from the physical structure/construction of the component. Explain what ranges of shunt resistors were appropriate for the three different elements.

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