Couple calculations Polar to Rectangular Form

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SUMMARY

The discussion focuses on converting complex numbers from polar to rectangular form and vice versa, specifically calculating the sum of two complex currents, i1 and i2. The values provided are i1 = 0.092<-98.86 and i2 = -4i1 - j10/25. The calculations yield i1 in rectangular form as -0.0142 - j0.0909, and the final result for i1 + i2 is confirmed as 0.1342<-71.4976. The calculations are verified as correct by participants in the discussion.

PREREQUISITES
  • Understanding of complex numbers in polar and rectangular forms
  • Familiarity with trigonometric functions (cosine and sine)
  • Basic knowledge of electrical engineering concepts, particularly current calculations
  • Proficiency in using mathematical notation for complex numbers
NEXT STEPS
  • Study the conversion techniques between polar and rectangular forms of complex numbers
  • Learn about phasors and their applications in electrical engineering
  • Explore the use of complex number calculations in circuit analysis
  • Investigate software tools for performing complex number calculations, such as MATLAB or Python's NumPy library
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Electrical engineering students, professionals working with AC circuits, and anyone interested in mastering complex number calculations in engineering applications.

shaltera
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Homework Statement



I need to find i1+i2

Homework Equations



for i1=0.092<-98.86
i2=-4i1-j10/25=-4i1-0.4

i1=0.092<-98.86
x=rcosθ=0.092cos(-98.86)=-0.0142
y=rsinθ=0.092sin(-98.86)=-0.0909
i1=-0.0142-j0.0909

Therefor
i2=-4(-0.0142-j0.0909)-j0.4=0.568+j3636-j0.4=0.568-j0.0364i1+i2=-0.0142-j0.0909+0.568-j0.0364=0.0426-0.j1273

Covert 0.0426-0.j1273 to polar form i1+i2=0.1342<-71.4976

Correct?

The Attempt at a Solution

 
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Your calculations look fine.
 
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