Help w/ Circuit Theory: Complex Numbers & Voltage

AI Thread Summary
The discussion revolves around circuit theory concepts, specifically the use of complex numbers in voltage calculations. The user confirms that a voltage of 120 /_0 in polar form translates to a rectangular form of V = 120 + J0, indicating it is in phase. Additionally, the user questions if substituting t = 0 in the equation v = √2 x 415 cos(100πt) correctly simplifies to v = √2 x 415, which is affirmed as accurate. The response suggests verifying the appropriate use of the arctangent functions in complex number calculations. Overall, the user is on the right track with their understanding of these concepts.
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Hi,

I'm working on an assignment for circuit theory, and I'm wondering if someone could let me know if I'm heading in the right direction?

1) I have a voltage value of 120 /_0 (polar form), from this can I assume that Arctan (a/b) =0, so voltage =120 in phase?

Therefore, V =120+J0, where V = a+jb

2) If I have a v = √2 x415cos(100πt) , basically can I say that "t = 0" , I end up with v = √2x415cos (0),

where Cos(0) = 1

is this correct, or am I missing something?

Thanks,

Colin
 
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correct
 
You are heading in the right direction.
Check when you should be using Atan( a/b ), Atan( b/a ) or the Atan2( b, a ).
 
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