Help w/ Circuit Theory: Complex Numbers & Voltage

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SUMMARY

The discussion centers on circuit theory, specifically the use of complex numbers to represent voltage. Colin correctly interprets a voltage value of 120 /_0 in polar form as V = 120 + J0, confirming that the voltage is in phase. Additionally, he evaluates the expression v = √2 x 415 cos(100πt) at t = 0, concluding that v = √2 x 415, which is accurate. The conversation emphasizes the importance of using the correct arctangent function, such as Atan2(b, a), for phase calculations.

PREREQUISITES
  • Understanding of complex numbers in electrical engineering
  • Familiarity with polar and rectangular forms of voltage
  • Knowledge of trigonometric functions and their applications in circuit analysis
  • Basic principles of circuit theory and phasor representation
NEXT STEPS
  • Research the use of Atan2(b, a) in phase calculations for complex numbers
  • Study the conversion between polar and rectangular forms of complex numbers
  • Explore the implications of voltage phase in AC circuit analysis
  • Learn about the significance of phasors in circuit theory
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Electrical engineering students, circuit theory learners, and professionals working with AC circuits and complex number analysis will benefit from this discussion.

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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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