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Lab 3 Report

Cody Zasada and Parker Dougherty

3/06/13

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Data Processing/Data Analysis:

Using the reference equations given in the lab report, the following values were calculated.

Calculating the inductance of the inductor using 10 kHz measurement:

VL = 14.4e 0.81681j

IL = 0.2371e -0.82267j

ZL = 607.31e 1.6395j = -41.677 + 605.88j

L = 9.64 mH

Calculating the capacitance of the capacitor using 1 kHz measurement:

VC = 12.6e -1.00531j

IC = 0.02813e .67656j

ZC = 447.9e -1.6819j = -49.649 – 445.14j

C = .357 µF

Error Analysis:

MeasuredValue

CalculatedValue

PercentError

Inductance 11.1 mH 9.64 mH 13.15%Capacitance .331 µF .357 µF 7.80%

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Conclusion:

In an effort to better understand how frequency influences ac impedance, varying frequencieswere run through the RL and RC circuits and the lab data was recorded. After studying the labdata, some conclusions can be drawn about how inductors and capacitors act when varying

frequencies are sent through them. It was observed that inductors tended to have higherimpedance at higher frequencies, while capacitors tended to have higher impedance at lowerfrequencies. This behavior also determines which component most of the circuit ’ s voltage islocated across.

In the case of inductors, the numbers in Table 1 indicate the inductor holds more of the circuit ’ svoltage at higher frequencies. At low frequencies, the inductor holds less of the circuit ’ svoltage. This confirms our expectations, since the job of an inductor is to resist current change.

In the case of capacitors, the numbers in Table 1 indicate the capacitor holds more of thevoltage at lower frequencies. At higher frequencies, there seems to be so many charges goingthrough the capacitor that it acts almost like a wire.

Using the reference equations given in the lab handout, the capacitance and inductance werecalculated within a reasonable amount of error. This leads to the conclusion that the lab data isrelatively accurate.