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fQuestions: 1. Is lo a linear function of driving frequency? Consider this given the AC version of Ohm's Law and equation (3). 2. Is |
\fQuestions: 1. Is lo a linear function of driving frequency? Consider this given the AC version of Ohm's Law and equation (3). 2. Is | Z | a constant or a variable? If | Z | is variable, does the | Z | versus a curve resemble a linear, logarithmic, or exponential relationship? 3. Calculate | Xi|, [Xc), and [Z| at (a) f = 30 Hz and (b) f = 90 Hz, near the extremes of the data. 4. Calculate the % between the results for | Z | calculated from equation (3) and the measured | Z | values in the table at (a) f = 30 Hz and (b) f = 90 Hz.( = 1 . 798 MF 120 HZ R = 0. 49 0 vQ L= 11.976H Table 1 Recording of Measured Data f (Hz) Time / Div N(T Div) T(s) Vo/ Div | N (Vo/Div) | VR/ Div | N (VR/ Div) 10 120 ms 4:8 D.096 2 5. 5 O . ) 3.9 20 as 10 ns 8 5.3 10.062 95. 6 0 .5 3.4 30 5ms 6.9 0. 035 4.0 0, 5 6. 3 40 5 ms 5. 1 4.8 6 . 5 5, 6 50 5 ms 1.0 0. 020 2 . 3 6.5 4.0 60 5 ms 3. 5 0. 018 5 2.4 0 .5 3. 3 70 5 ms 3.0 0. 015 5 2. 4 0 .5 1 . 8 80 5 ms 3. 6 0.013 5 2 , 5 10.5 2.4 90 5 ms 2. 4 0. 01 ) 5 2. 5 0.5 2.1 100 5 ms 2. 1 0 . 011 5 . 2.5 0.5 1.9 Table 2 Derived from Measured Data f = 1/T(s) w = 2nf 2Vo 2VR Io = VR/R 121 Log | ZI 10.4 65. 3 10,6 6. 780 7. 96 *10 6.69 X105 3.83 19.2 11.2 1.70 1. 73 x 10 3.24 x 105 3.51 29. 0 5.06 3. 15 3. 71 X 10' 1.25 x 10 3. 16 39. 7 246 9.66 9.80 286 * 10 1 . 71 X 10 3. 73 50.0 314 11.5 200 204 * 103 2.82x 105 3.45 57 .1 359 12.0 1.65 1.68 x10 3 13.57 x 10 3. 55 66.7 419 1.0 1.40 1.43 x10'5 4. 20 * 16 5 3.62 71.9 483 12. 5 1.20 1. 20 x 10 5.12 x 105 3. 71 83.3 573 12. 5 1.05 1. 07 * 10' 15. 84 * 10' 3. 77 95. ) 598 12.5 0.950 9.69 x 104 / 6.45 x 105 3. 81 ( 1) E = in + ct equations ( 3 ) 1 21 = [R + ( WL - WC ) ? 12I us A 540 $30 Current 27.0 ( dm A ) 21.0 IS.a 2 00 10.0 0.0 508 40.0 500 60.0 70.0 80.0 90,0 100 frequency ( H.) 121 /vs co 9100 Impedance 7.00 KSL 5.00 1.00 1.60 4.00 170 7010 240 0 440 570 600 60 angular frequency cool
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