ES lab report 3.docx - 1.0 Introduction The purpose of this...

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1.0 Introduction The purpose of this laboratory session was to introduce basic measurement and analysis methods for AC circuits. This laboratory session analysed voltages in series resistor, capacitor and inductor with the use of test equipments like: Digital Oscilloscope Function Generator 2.0 Summary of Results The Phasor Diagram obtained from all the circuits in experiment shows that the measured values for peak to peak voltages are reliable as the sum of voltage rise and drop is zero. However a significant difference in values for the calculated and measured values can be noticed in experiment 3, which mainly occurred due to the resistance of the inductor not being taken in to account for the measurement of the calculated values. When the frequency of the circuit in figure 1.1 was increased, the peak to peak voltage for the capacitance was seen to decrease and phase angle was seen to be increasing. On the other hand when the frequency of circuit in figure 1.3 was increased, the peak to peak voltage for the inductor was increasing and the phase angle decreasing. 3.0 Circuits Figure 1.1
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Figure 1.2 Figure 1.3
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4.0 Results 4.1 Sine Wave Measurements 1 = E m1 sin t ± ø= 9.5sin (11000-π/6) volts Ѡ Table 1: Measurements of Sine wave Quantity Measured Calculated Percentage Difference (%) 1(0.11ms) (V) ------------ 6.021 ------------ Frequency (kHz) 1.741 1.751 0.57 Period (μs) 575 571 0.70 E P (V) 9.6 9.5 1.05 E P/P (V) 19.2 19 1.05 E RMS (V) 6.66 6.72 0.90 E AV (V) 6.84 6.05 12.26 Phase θ (Degrees) ------------- 60 ---------------- Table 2: Measurements of Sine wave using 17.5 kHz frequency Quantity Measured Calculated Percentage Difference (%) Frequency (kHz) 17.52 17.50 0.11 Period (μs) 57.18 57.1 0.14 E P (V) 9.60 9.50 1.05 E P/P (V) 19.2 19.0 1.05 E RMS (V) 6.53 6.72 2.87 E AV (V) 4.88 6.05 21.41 4.2 Series RC Circuit Resistor R 1 : 330 Ω Capacitance C 1 : 0.15 μF Refer to Figure 1.2 and 1.2 Table 3: Series RC Circuit using 5 kHz Frequency Quantity Measured Values Theoretical Calculated Values Percentage Difference (%) Frequency (kHz) 4.992 5.0 0.16 Period (ms) 200.2 200 0.10 Input Voltage E P/P (V) 15.0 15.0 0.00 Volts (V) ∆t (μs) Angle (Degrees ) Volts (V) Angles (Degrees ) Volts (V) V C (peak to peak) 8.20 30 -54.0 8.11 -57.3 ---------------- V R (peak to peak) 12.4 19 34.2 12.62 32.7 ----------------
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Table 4: Series RC Circuit using 2.5 kHz Frequency
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