Question

Perform the following additions in rectangular form:
(4.2 + j 6.8) + (7.6 + j 0.2)

Answer 1

To add (4.2 + j 6.8) + (7.6 + j 0.2), separately add the real parts and the imaginary parts to get 11.8 + 7.0j.

Step-by-step explanation:

To add complex numbers in rectangular form, simply add the real parts and the imaginary parts separately. Given:

To perform the following additions in rectangular form: (4.2 + j 6.8) + (7.6 + j 0.2), you simply add the real parts (those without j) and the imaginary parts (those with j) separately.

Step 1: Add the real parts

4.2 + 7.6 = 11.8

Step 2: Add the imaginary parts

(6.8 + 0.2)j = 7.0j

The sum in rectangular form is therefore 11.8 + 7.0j.