Phase of sum of complex numbers

1. What is the phase of a complex number?
2. How do you find the sum of complex numbers?
3. How do you find the amplitude and phase of a complex number?

What is the phase of a complex number?

The angle or phase or argument of the complex number a + bj is the angle, measured in radians, from the point 1 + 0j to a + bj, with counterclockwise denoting positive angle. The angle of a complex number c = a + bj is denoted c: c = arctanb/a.

How do you find the sum of complex numbers?

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 5 + 3i and 4 + 2i is 9 + 5i. For another, the sum of 3 + i and –1 + 2i is 2 + 3i. Addition can be represented graphically on the complex plane C.

How do you find the amplitude and phase of a complex number?

To find the Amplitude or Argument of a complex number let us assume that, a complex number z = x + iy where x > 0 and y > 0 are real, i = √-1 and x2 + y2 ≠ 0; for which the equations x = |z| cos θ and y = |z| sin θ are simultaneously satisfied then, the value of θ is called the Argument (Agr) of z or Amplitude (Amp) of ...