Question

Adding phasers

Z1=2 / 63° Z2=5 / 42°

What’s is z1+z2

Answer 1

the sum of Z1 and Z2 is 4.553 + j 5.326.

Explanation:

To add two phasors, we add their real and imaginary parts separately.

Given:

Z1 = 2 / 63°

Z2 = 5 / 42°

Converting them to rectangular form:

Z1 = 2 cos(63°) + j 2 sin(63°) = 0.921 + j 1.862

Z2 = 5 cos(42°) + j 5 sin(42°) = 3.632 + j 3.464

Adding them:

Z1 + Z2 = (0.921 + 3.632) + j (1.862 + 3.464)

= 4.553 + j 5.326

Therefore, the sum of Z1 and Z2 is 4.553 + j 5.326.

hope this helped you!;))