Question

A circuit has a current of (8 + 7i) amps, and another circuit has a

current of (5 - 3i) amps. What is the difference between the currents of
the two circuits

Answer 1

The difference between the two currents, which are represented as complex numbers, is found by subtracting them. The result is (3 + 10i) amps.

Step-by-step explanation:

The question is asking for the difference between the currents of two circuits. To find the difference, we subtract the currents, treating them like complex numbers since they have both real and imaginary components.

Let's subtract the second current from the first:

• (8 + 7i) - (5 - 3i)
• = 8 - 5 + (7i - (-3i))
• = 3 + 10i

Therefore, the difference between the currents of the two circuits is (3 + 10i) amps.

Answer 2

Answer: 3 + 10i

Step-by-step explanation:

`= { \rm{(8 + 7i) - (5 - 3i)}} \\ \\ = { \rm{(8 - 5) + (7 + 3)i}} \\ \\ { = \rm{3 + 10i}}`