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Complex Numbers Practice _3

# Complex Numbers Practice _3 - a 4 e j π b e j c 3 e j π/4...

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EECE 301 Assigned 9/1/05 Fall 2005 Due 9/6/05 Prof. Fowler EE 301 HW#1 Complex Numbers & Sinusoids NOTE: Show Steps Used – don’t just use your calculator’s complex number functions!! 1. For each of the following complex numbers, show its graphical representation on the complex plane and convert it into polar form. a. –3– j 4 b. 6 2. For each of the following complex numbers, show its graphical representation on the complex plane and convert it into rectangular form (show steps used – don’t just use your calculator’s polar-to- rectangular function).

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Unformatted text preview: a. 4 e j π b. e j c. 3 e j π /4 d. 2 e j 6 π 3. For each of the following complex numbers, write the result in the form indicated a. je-j π /2 write it in polar form b. write it in rectangular form 4 / π j je − 4. Find a simpler expression for each of the following functions and make a neat and precise sketch the function: a. x ( t ) = Re{ e j ( ω t + π /2) } b. x ( t ) = Re{ e j ( ω t + j 2 t ) } c. x [ n ] = Im{e j 4 π n } d. x ( t ) = |cos( ω t ) + j sin( ω t )|...
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