Lab 4 RS - Revision history

Shaproma: /* 1. Compare the theoretical and experimentally measured break frequencies. (5 pnts) */

2011-02-03T22:34:38Z

1. Compare the theoretical and experimentally measured break frequencies. (5 pnts)

2011-01-28T23:31:07Z

3. Compare the theoretical and experimental value for the phase shift \theta. (5 pnts)

2011-01-28T06:28:14Z

1-50 kHz filter (20 pnts)

2011-01-28T06:03:19Z

3. Compare the theoretical and experimental value for the phase shift \theta. (5 pnts)

2011-01-28T05:22:42Z

5. What is the phase shift \theta for a DC input and a very-high frequency input?(5 pnts)

2011-01-28T05:22:11Z

5. What is the phase shift \theta for a DC input and a very-high frequency input?(5 pnts)

2011-01-27T23:52:10Z

1-50 kHz filter (20 pnts)

2011-01-27T23:47:10Z

1. Compare the theoretical and experimentally measured break frequencies. (5 pnts)

2011-01-27T23:43:15Z

1-50 kHz filter (20 pnts)

2011-01-27T07:34:24Z

3. Compare the theoretical and experimental value for the phase shift \theta. (5 pnts)

← Older revision		Revision as of 22:34, 3 February 2011
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	<math>Error = \left\| \frac{f_{exp} - f_{theor}}{f_{theor}} \right\| = \left\| \frac{12.97 - 12.13}{12.13} \right\|= 6.92\ %</math>		<math>Error = \left\| \frac{f_{exp} - f_{theor}}{f_{theor}} \right\| = \left\| \frac{12.97 - 12.13}{12.13} \right\|= 6.92\ %</math>
−
−	~~Error is pretty big. Probably is something wrong with RC measurements.~~

	==2. Calculate and expression for <math>\frac{V_{out}}{ V_{in}}</math> as a function of <math>\nu</math>, <math>R</math>, and <math>C</math>.(5 pnts)==		==2. Calculate and expression for <math>\frac{V_{out}}{ V_{in}}</math> as a function of <math>\nu</math>, <math>R</math>, and <math>C</math>.(5 pnts)==

← Older revision		Revision as of 23:31, 28 January 2011
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−	[[File:~~l4_phase_table~~.png \| 600 px]]	+	[[File:l4_phase_table_m1.png \| 600 px]]

	==4. Sketch the phasor diagram for <math>V_{in}</math>,<math> V_{out}</math>, <math>V_{R}</math>, and <math>V_{C}</math>. Put the current <math>I</math> along the real voltage axis. (30 pnts)==		==4. Sketch the phasor diagram for <math>V_{in}</math>,<math> V_{out}</math>, <math>V_{R}</math>, and <math>V_{C}</math>. Put the current <math>I</math> along the real voltage axis. (30 pnts)==

@@ Line 36: / Line 36: @@
 ! scope="col" width="50" | <math>\frac{V_{out}}{V_{in}}</math>
 |-
-|0.1 || || ||
+|0.5 ||12.4 ||0.48 ||0.039
 |-
-|1.0 || || ||
+|1.0 ||11.0 ||0.88 ||0.080
 |-
-|2.0 || || ||
+|2.0 ||8.0 ||1.3 ||0.162
 |-
-|3.0 || || ||
+|3.0 ||6.0 ||1.5 ||0.250
 |-
-|4.0 || || ||
+|4.0 ||4.9 ||1.6 ||0.326
 |-
-|5.0 || || ||
+|5.0 ||4.2 ||1.7 ||0.405
 |-
-|6.0 || || ||
+|6.0 ||3.7 ||1.7 ||0.459
 |-
-|7.0 || || ||
+|7.0 ||3.2 ||1.7 ||0.531
 |-
-|8.0 || || ||
+|8.0 ||3.0 ||1.75 ||0.583
 |-
-|9.0 || || ||
+|9.0 ||2.85 ||1.70 ||0.596
 |-
-|10.0 || || ||
+|10.0 ||2.60 ||1.70 ||0.654
 |-
-|11.0 || || ||
+|11.0 ||2.50 ||1.70 ||0.680
 |-
-|12.0 || || ||
+|12.0 ||2.35 ||1.70 ||0.723
 |-
-|15.0 || || ||
+|13.0 ||2.25 ||1.70 ||0.755
 |-
-|20.0 || || ||
+|14.0 ||2.20 ||1.70 ||0.772
 |-
-|30.0 || || ||
+|15.0 ||2.10 ||1.70 ||0.809
 |-
-|40.0 || || ||
+|20.0 ||2.00 ||1.75 ||0.875
 |-
-|50.0 || || ||
+|30.0 ||1.85 ||1.75 ||0.946
 |-
-|100.0 || || ||
+|50.0 ||1.82 ||1.78 ||0.978
 |-
-|200.0 || || ||
+|100.0 ||1.80 ||1.80 ||1.00
 |}

← Older revision		Revision as of 06:03, 28 January 2011
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	The theoretical phase shift is <math>\ \Theta_{theory}=\arctan\ \left (-\frac{1}{\omega R C}\right )</math>		The theoretical phase shift is <math>\ \Theta_{theory}=\arctan\ \left (-\frac{1}{\omega R C}\right )</math>
		+
		+
		+	[[File:l4_phase_table.png \| 600 px]]

	==4. Sketch the phasor diagram for <math>V_{in}</math>,<math> V_{out}</math>, <math>V_{R}</math>, and <math>V_{C}</math>. Put the current <math>I</math> along the real voltage axis. (30 pnts)==		==4. Sketch the phasor diagram for <math>V_{in}</math>,<math> V_{out}</math>, <math>V_{R}</math>, and <math>V_{C}</math>. Put the current <math>I</math> along the real voltage axis. (30 pnts)==

@@ Line 139: / Line 139: @@
   Because a DC circuit doesn't have any oscillation there are no any phase shift.
-  For a very high frequency input the phase shift is 0 (see my plot
+  For a very high frequency input the phase shift is 0 (see plot in question 6)
 ==6. Calculate and expression for the phase shift <math>\theta</math> as a function of <math>\nu</math>, <math>R</math>, <math>C</math> and graph <math>\theta</math> -vs <math>\nu</math>. (20 pnts)==

← Older revision		Revision as of 05:22, 28 January 2011
Line 138:		Line 138:

	Because a DC circuit doesn't have any oscillation there are no any phase shift.		Because a DC circuit doesn't have any oscillation there are no any phase shift.
		+
		+	For a very high frequency input the phase shift is 0 (see my plot

	==6. Calculate and expression for the phase shift <math>\theta</math> as a function of <math>\nu</math>, <math>R</math>, <math>C</math> and graph <math>\theta</math> -vs <math>\nu</math>. (20 pnts)==		==6. Calculate and expression for the phase shift <math>\theta</math> as a function of <math>\nu</math>, <math>R</math>, <math>C</math> and graph <math>\theta</math> -vs <math>\nu</math>. (20 pnts)==

@@ Line 80: / Line 80: @@
 . Graph the <math>\log \left(\frac{V_{out}}{V_{in}} \right)</math> -vs- <math>\log (\nu)</math>
-[[File:L4 volt gain_analog.png | 800 px]]
+[[File:L4 volt gain_analog m1.png | 800 px]]
 =phase shift (10 pnts)=

@@ Line 93: / Line 93: @@
 Theoretical break frequency: <math>12.13\ \mbox{kHz}</math>
-The fit line equation from the plot above is <math>\ y=-1.14+0.9101\cdot x</math>.
+The fit line equation from the plot above is <math>\ y=-1.097+0.9857\cdot x</math>.
 From intersection point of line with x-axis we find:
-:<math>\mbox{log}(f_{exper})=\frac{1.14}{0.9101} = 1.252</math>
+:<math>\mbox{log}(f_{exper})=\frac{1.097}{0.9857} = 1.113</math>
-:<math>f_{exp} = 10^{1.252} = 17.86\ \mbox{kHz} </math>
+:<math>f_{exp} = 10^{1.113} = 12.97\ \mbox{kHz} </math>
 The error is:
-  <math>Error = \left| \frac{f_{exp} - f_{theor}}{f_{theor}} \right| = \left| \frac{17.86 - 12.13}{12.13} \right|= 32.08\ %</math>
+  <math>Error = \left| \frac{f_{exp} - f_{theor}}{f_{theor}} \right| = \left| \frac{12.97 - 12.13}{12.13} \right|= 6.92\ %</math>
 Error is pretty big. Probably is something wrong with RC measurements.

@@ Line 127: / Line 127: @@
 ==3. Compare the theoretical and experimental value for the phase shift <math>\theta</math>. (5 pnts)==
-  The experimental phase shift is <math>\ \Theta_{exper} = (\omega\ \delta T)_{exper}</math>
+  The experimental phase shift is <math>\ \Theta_{exper} = (-\omega\ \delta T)_{exper}</math>
-  The theoretical phase shift is <math>\ \Theta_{theory}=\arctan\ \left (\frac{1}{\omega R C}\right )</math>
+  The theoretical phase shift is <math>\ \Theta_{theory}=\arctan\ \left (-\frac{1}{\omega R C}\right )</math>
 ==4. Sketch the phasor diagram for <math>V_{in}</math>,<math> V_{out}</math>, <math>V_{R}</math>, and <math>V_{C}</math>. Put the current <math>I</math> along the real voltage axis. (30 pnts)==