Latest revision as of 22:45, 11 January 2015

Template for Text practice problem (erase this line)

Practice question for ECE201: "Linear circuit analysis I"

By: ECE student Joe Blo (or anonymous, if applicable)

Topic: Sign conventions in a loop (replace by your chosen topic)

Question

Janet has three rabbits. She gives one to Joe. How many rabbits does she have left.

Answer

Write answer here.

Questions and comments

If you have any questions, comments, etc. please post them below

Comment 1
- Answer to Comment 1
Comment 2
- Answer to Comment 2

Back to 2015 Spring ECE 201 Peleato

Back to ECE201

@@ Line 1: / Line 1: @@
-[[Category:complex numbers]]
+[[Category:ECE201]]
-[[Category:Complex Number Magnitude]]
+[[Category:ECE]]
-[[Category:Euler's formula]]
+[[Category:ECE201Spring2015Peleato]]
-[[Category:ECE438]]
+[[Category:circuits]]
-[[Category:ECE438Fall2011Boutin]]
+[[Category:linear circuits]]
 [[Category:problem solving]]
+=Template for Text practice problem ''(erase this line)''=
 <center><font size= 4>
-'''[[Digital_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]'''
+'''Practice question for [[ECE201]]: "Linear circuit analysis I" '''
 </font size>
-Topic: Review of complex numbers
+By: [[ECE]] student Joe Blo (or anonymous, if applicable)
+Topic: Sign conventions in a loop (''replace by your chosen topic'')
 </center>
 ----
 ==Question==
-After [[Lecture7ECE438F11|class today]], a student asked me the following question:
+Janet has three rabbits. She gives one to Joe. How many rabbits does she have left.
-<math>\left| e^{j \omega} \right| = ? </math>
-Please help answer this question.
 ----
-==Share your answers below==
-You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
 ----
-===Answer 1===
+===Answer ===
+Write answer here.
-By [[More_on_Eulers_formula|Euler's formula]]
-<math> e^{j \omega}  = cos( \omega) + i*sin( \omega) </math>
-hence,
-<math>\left| e^{j \omega} \right| =  \left|cos( \omega) + i*sin( \omega) \right| = \sqrt{cos^2( \omega) + sin^2( \omega)} = 1 </math>
-:<span style="color:green">TA's comments: Is this true for all <math>\omega \in R</math>? The answer is yes.</span>
-:<span style="color:purple">Instructor's comment: I would like to propose a more straightforward way to compute this norm using the fact that <math>|z|^2=z \bar{z}</math>. Can you try it out? -pm </span>
-===Answer 2===
-becasue: <math>  e^{jx} =cos(x)+ jsin(x) </math>
-<math>| e^{j \omega}|=|cos(\omega) + i*sin(\omega)|=\sqrt{cos(\omega)^2 +sin(\omega)^2}=1</math>
-:<span style="color:green">TA's comments: The point here is to use [[More_on_Eulers_formula|Euler's formula]] to write a complex exponential as a complex number. Then the norm(magnitude) and angle(phase) of this complex number can be easily computed.</span>
-:<span style="color:purple">Instructor's comment: Again, I would argue that using the fact that <math>|z|^2=z \bar{z}</math> is more straightforward. Can you try it out? -pm </span>
-===Answer 3===
-<math> e^{j \omega}  = cos( \omega) + i*sin( \omega) </math>
-<math>\left| e^{j \omega} \right| =  \left|cos( \omega) + i*sin( \omega) \right| = \sqrt{cos^2( \omega) + sin^2( \omega)} = 1 </math>
-:<span style="color:purple">Instructor's comment: Can you think of a way to compute this norm without using [[More_on_Eulers_formula|Euler's formula]]? -pm </span>
 ----
-[[2011_Fall_ECE_438_Boutin|Back to ECE438 Fall 2011 Prof. Boutin]]
+==Questions and comments==
+If you have any questions, comments, etc. please post them below
+*Comment 1
+**Answer to Comment 1
+*Comment 2
+**Answer to Comment 2
+----
+[[2015 Spring ECE 201 Peleato|Back to 2015 Spring ECE 201 Peleato]]
-[[ECE301|Back to ECE438]]
+[[ECE201|Back to ECE201]]

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Latest revision as of 22:45, 11 January 2015

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