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university:tools:m2k:alice:users-guide-m2k [10 Nov 2017 20:07] – [Background:] Doug Mercer | university:tools:m2k:alice:users-guide-m2k [16 Dec 2017 17:08] – [Background:] Doug Mercer | ||
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Using the law of cosines and referring to figure 23 the magnitude of VI can be calculated as: | Using the law of cosines and referring to figure 23 the magnitude of VI can be calculated as: | ||
- | <m>VI = sqrt(VA/\2 + VZ/\2 – 2*VA*VZ*cos(Φ))</ | + | <m>VI = sqrt({VA/2} + {VZ/2} – 2*VA*VZ*cos(Φ))</ |
The angle Φ is the measured relative phase between channel 2 (VZ) and channel 1 (VA). The law of cosines is used to calculate the cosine of the angle, Θ. | The angle Φ is the measured relative phase between channel 2 (VZ) and channel 1 (VA). The law of cosines is used to calculate the cosine of the angle, Θ. | ||
- | < | + | < |
The magnitude of the total impedance (including R< | The magnitude of the total impedance (including R< | ||
Line 872: | Line 872: | ||
The magnitude of the unknown reactance can be calculated as: | The magnitude of the unknown reactance can be calculated as: | ||
- | < | + | < |
Again taking possible measurement errors into account it is possible that the square root of a negative number might occur. If that happens then X< | Again taking possible measurement errors into account it is possible that the square root of a negative number might occur. If that happens then X< |