Doering_7_1S - ⇒ positive phase 500 Hz Zmag = 100...

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7.1 – Impedance Transformations, Section 7-5 Summary Comparison: Impedance magnitude: 100 Hz (ohms)500 Hz (ohms) 1 kHz (ohms) 2 kHz (ohms) Analysis 192.7 280.9 421.8 142.9 Multisim 193.4 280.9 421.8 143.0 myDAQ 194.6 285.5 431.6 150.9 Average 193.6 282.4 425.1 145.6 Max absolute difference 1.03 3.07 6.53 5.30 Max relative difference 0.5% 1.1% 1.5% 3.6% Impedance phase: 100 Hz (deg) 500 Hz (deg) 1 kHz (deg) 2 kHz (deg) Analysis 4.7 17.2 -40.9 -42.9 Multisim 4.68 18.0 -41.0 -42.5 myDAQ 5.0 17.1 -41.4 -43.2 Average 4.8 17.4 -41.1 -42.9 Max absolute difference 0.21 0.57 0.30 0.33 Max relative difference 4.3% 3.3% 0.7% 0.8%
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Analytical Solution:
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myDAQ Results: Function Generator setup: 100 Hz: Zmag = 100 × (1.999 Vpp / 1.027 Vpp) = 194.6 Ω
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Still at 100 Hz, decrease timebase value for better resolution (use the same technique for subsequent phase shift measurements); use “Run Once” mode and click “Run” until a pair of traces appears: Z phase = 140 μ s × 100Hz × 360 ° = 5.0 ° (current lags voltage
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Unformatted text preview: ⇒ positive phase) 500 Hz: Zmag = 100 × (1.997 Vpp / 699.45 mVpp) = 285.5 Ω Z phase = 95 μ s × 500Hz × 360 ° = 17.1 ° (current lags voltage ⇒ positive phase) 1,000 Hz: Zmag = 100 × (1.997 Vpp / 462.75 mVpp) = 431.6 Ω Z phase = 115 μ s × 1,000Hz × 360 ° = -41.4 ° (current leads voltage ⇒ negative phase) 2,000 Hz: Zmag = 100 × (1.997 Vpp / 1.323 Vpp) = 150.9 Ω Z phase = 60 μ s × 2,000Hz × 360 ° = -43.2 ° (current leads voltage ⇒ negative phase) Further Exploration: Bode Analyzer setup and measurement results: Cursor measurements (previous myDAQ measurements in square brackets for comparison] 100Hz: 194 ∠ 4.8 ° Ω (multiply “Gain” reading by 100) [194.6 ∠ 5.0 ° Ω ] 500Hz: 288 ∠ 16.98 ° Ω [285.5 ∠ 17.1 ° Ω ] 1,000Hz: 436 ∠-36.99 ° Ω [431.6 ∠-41.4 ° Ω ] 2,000Hz: 152 ∠-43.70 ° Ω [150.9 ∠-42.9 ° Ω ]...
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