ES Lab Report 4.docx - 1.0 INTRODUCTION The purpose of this...

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1.0 INTRODUCTION The purpose of this laboratory session was to focus on the AC test equipment and their effective use for the measurements of magnitude and phase quantities by various techniques in AC circuits. The equipment used are as follows: - Function Generator - Digital Oscilloscope - Bread Board 2.0 SUMMARY OF RESULTS The Series-Parallel RC Network had a maximum percentage deviation of 5.13% between the measured and calculated values for magnitude only. This small deviation might have occurred to the resistor tolerance values of the resistors. On the other hand, the Series RLC circuit had a maximum deviation of 45.75%. However this error can be direct contributed due to the omission of the resistance of inductor (25.2 ) for the calculation of the calculated values. The  resistance in the inductor changes the value of the impedance by 33%. 3.0 CIRCUITS
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Circuit 3.1 Circuit 3.1
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Circuit 3.3 Circuit 3.4
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4.0 RESULTS 4.1 Series Parallel RC Network  Quantity Measured Values Theoretical  Calculated  Values Frequency 3.990 kHz 4.0kHz Period ( μ s) 250  μ s 250  μ s Input Voltage  E 1 5.05 V (rms) 5.0 V (rms) Impedance Z T Z T  = E 1 / I T 2176.72  -50.3  2207.98   -50.23  VOLTS Δ ANGLE V R1  (rms) 1.89 V +36  μ s 51.71˚ 1.85   50.25 V V C1  (rms) 2.87 V -27  μ s -38.78˚ 2.73   -39.75  V V R2  (rms) 1.75 V +7  μ s 10.05˚ 1.74   10.55 V V C2  (rms) 1.75 V +7  μ s 10.05˚ 1.74   10.55 V CURRENT ANGLE I (rms) 2.32 mA 50.3˚ 2.26   50.25  mA I R1  (rms) 2.32 mA 50.3˚ 2.26   50.25  mA I C1  (rms) 2.32 mA 50.3˚ 2.26    50.25  mA I R2  (rms) 1.72 mA 89.49˚ 1.74   -10.55  mA I C2  (rms) 1.43 mA 99.49˚ 1.44   100.56  mA       Note:  =   t f 360 = phase shift (angle) Percentage Deviations (Magnitude only): Frequency (4000 – 3990) /4000 *100  = 0.25% Period (250 – 250) /250 *100  = 0% Input Voltage  (5.05 – 5.0) /5.0 *100  = 1% Impedance (2207.98 - 2176.72) /2207.98 *100  = 1.42% V R1 (1.89 – 1.85) /1.85 *100  = 2.16% V C1 (2.87 – 2.73) /2.73 *100  = 5.13% V R2 (1.75 - 1.74) /1.74 *100  = 0.57% V C2 (1.75 - 1.74) /1.74 *100  = 0.57% I T (2.32 – 2.26) /2.26 *100  = 2.65% I R1 (2.32 – 2.26) /2.26 *100  = 2.65% I C1 (2.32 – 2.26) /2.26 *100  = 2.65%
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I R2  (1.74 - 1.72) /1.74 *100  = 1.15% I C2 (1.44 - 1.43) /1.44 *100  = 0.69% 4.2 Series RLC Circuit (Frequency 1) Quantity
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